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PURE STATES
A state is called pure if it cannot be represented as a mixture (convex combination) of other states, i.e., if it is an extreme point of the convex set of states.. This is equivalent to the density matrix being a one dimensional projector, i.e., of the form ρ = |ψ ψ| for some unit vector |ψ .In this case the formula for the expectation value of an operator A in the state simplifies as trQUBIT | QUANTIKI
A quantum bit, or qubit (sometimes qbit) is a unit of quantum information.That information is described by a state in a 2-level quantum mechanical system which is formally equivalent to a two-dimentional vector space over the complex numbers.The two basis states (or vectors) are conventionally written as ∣0 and ∣1 (pronounced: 'ket 0' and 'ket 1') as this follows the usual bra-ketnotation
LIST OF QC SIMULATORS This list provides an overview of available QC simulators grouped by programming language. C/C++. Intel Quantum Simulator (IQS, former qHiPSTER) Description: multi-threaded, distributed simulator of quantum circuit. released open-source, IQS is implemented in C++ and has an intuitive Python interface.TRACE DISTANCE
== Definition and Operational Meaning == The trace distance (also called the variational or Kolmogorov distance) δ : S(H) × S(H) → R is one of the most natural distance measures on S(H).It is intimately related to the problem of distinguishing two states in the following way: The value $\frac{1}{2}+\frac{1}{2}\delta(\rho,\sigma)$ is the average success probability when distinguishing (by BELL STATE | QUANTIKI Bell state. A Bell state is defined as a maximally entangled quantum state of two qubit s. The qubits are usually thought to be spatially separated (held by Alice and Bob, respectively, to use quantum cryptography terms). Nevertheless they exhibit perfect correlation s which cannot be explained without quantum mechanics. ENTANGLEMENT OF FORMATION The entanglement of formation is an entanglement measure for bipartite quantum states. It is defined as. Ef(ρ) = minEpiEE(∣ψi ) where the minimization is over all ensemble s of pure states E = { (pi, ∣ψi )} that realizes the given state, ρ = ∑ipi∣ψi ψi∣, and EE(∣ψ ) is the entropy of BIPARTITE | QUANTIKI Bipartite. Something is said to bipartite if it consists of two distinct parts. In quantum information science it is often quantum systems that are shared between two parties, usually spatially separated and called Alice and Bob. If Alice's subsystem is described by the Hilbert space HA and Bob's is described by HB, the compoundbipartite
QUANTIKI | QUANTUM INFORMATION PORTAL AND WIKIEVENTSGROUPSPOSITIONSABOUTRFOLMAN123NEWS Welcome to Quantiki. Welcome to Quantiki, the world's leading portal for everyone involved in quantum information science. No matter if you are a researcher, a student or an enthusiast of quantum theory, this is the place you are going to find useful and enjoyable! While here on Quantiki you can: browse our content, including fascinating and POSITIONS | QUANTIKI PostDoc. Two PhD positions in quantum photonics. 28/05/2021. PhD. Postdoc / quantum software engineer in device characterization and error-mitigation. 10/06/2021. PostDoc. Postdoctoral Research Associate in solid state quantum computing. 01/07/2021. THE NO-CLONING THEOREMPURE STATES
A state is called pure if it cannot be represented as a mixture (convex combination) of other states, i.e., if it is an extreme point of the convex set of states.. This is equivalent to the density matrix being a one dimensional projector, i.e., of the form ρ = |ψ ψ| for some unit vector |ψ .In this case the formula for the expectation value of an operator A in the state simplifies as trQUBIT | QUANTIKI
A quantum bit, or qubit (sometimes qbit) is a unit of quantum information.That information is described by a state in a 2-level quantum mechanical system which is formally equivalent to a two-dimentional vector space over the complex numbers.The two basis states (or vectors) are conventionally written as ∣0 and ∣1 (pronounced: 'ket 0' and 'ket 1') as this follows the usual bra-ketnotation
LIST OF QC SIMULATORS This list provides an overview of available QC simulators grouped by programming language. C/C++. Intel Quantum Simulator (IQS, former qHiPSTER) Description: multi-threaded, distributed simulator of quantum circuit. released open-source, IQS is implemented in C++ and has an intuitive Python interface.TRACE DISTANCE
== Definition and Operational Meaning == The trace distance (also called the variational or Kolmogorov distance) δ : S(H) × S(H) → R is one of the most natural distance measures on S(H).It is intimately related to the problem of distinguishing two states in the following way: The value $\frac{1}{2}+\frac{1}{2}\delta(\rho,\sigma)$ is the average success probability when distinguishing (by BELL STATE | QUANTIKI Bell state. A Bell state is defined as a maximally entangled quantum state of two qubit s. The qubits are usually thought to be spatially separated (held by Alice and Bob, respectively, to use quantum cryptography terms). Nevertheless they exhibit perfect correlation s which cannot be explained without quantum mechanics. ENTANGLEMENT OF FORMATION The entanglement of formation is an entanglement measure for bipartite quantum states. It is defined as. Ef(ρ) = minEpiEE(∣ψi ) where the minimization is over all ensemble s of pure states E = { (pi, ∣ψi )} that realizes the given state, ρ = ∑ipi∣ψi ψi∣, and EE(∣ψ ) is the entropy of BIPARTITE | QUANTIKI Bipartite. Something is said to bipartite if it consists of two distinct parts. In quantum information science it is often quantum systems that are shared between two parties, usually spatially separated and called Alice and Bob. If Alice's subsystem is described by the Hilbert space HA and Bob's is described by HB, the compoundbipartite
GROUPS | QUANTIKI
Quantiki Quantum Information Portal and Wiki. Groups POSITIONS | QUANTIKI PostDoc. Two PhD positions in quantum photonics. 28/05/2021. PhD. Postdoc / quantum software engineer in device characterization and error-mitigation. 10/06/2021. PostDoc. Postdoctoral Research Associate in solid state quantum computing. 01/07/2021.PHD | QUANTIKI
We invite applications for Postdoc and PhD positions in theoretical quantum optics, quantum information, and quantum many-body physics, in the new research group led by Hannes Pichler at the University of Innsbruck and the Institute for Quantum Optics and Quantum Information of Austrian Academy of Sciences (Innsbruck/Austria).MASTER EQUATION
We shall derive the master equation of an open quantum system. As a common assumption, we assume that the whole environment (called bath) and the system are quantum mechanical, in the sense that (1) the relevant degrees of freedom are completely characterized by state vectors (or density matrices), and (2) the time evolution of the whole system is unitary U(t) = exp( − iHt), where the full QCALL FINAL SYMPOSIUM ON ADVANCES IN QUANTUM The EU-funded QCALL network is delighted to organise its final scientific event in the form of an online Symposium on Advances in Quantum Communications from 3 to 5 May 2021. We have arranged a series of exciting talks by world-leading experts in the field as well as emerging stars in our community to have three afternoons of talks and PHD POSITION QUANTUM INTERNET PhD Position Quantum Internet . Job type: PhD; Application deadline: Monday, July 12, 2021TRACE DISTANCE
== Definition and Operational Meaning == The trace distance (also called the variational or Kolmogorov distance) δ : S(H) × S(H) → R is one of the most natural distance measures on S(H).It is intimately related to the problem of distinguishing two states in the following way: The value $\frac{1}{2}+\frac{1}{2}\delta(\rho,\sigma)$ is the average success probability when distinguishing (by FOMO SUMMER SCHOOL ON MATTERWAVE INTERFEROMETRY Dear All, We would like to draw your attention to the upcoming Online Summer School and Lecture Series on Matterwave Interferometry, which is organised as an interim replacement for the summer school normally organised every two years in the context of the Conference on Frontiers of Matterwave Optics .. The FOMO-AtomQT Lecture Series on Matterwave Interferometry aims at training the nextSTART OF THE ATOMQT
Dear All, This is the first Lecture of the Online Summer School and Lecture Series on Matterwave Interferometry, which is organised as an interim replacement for the summer school normally organised every two years in the context of the Conference on Frontiers of Matterwave Optics .It will be held by Augusto Smerzi and will give the introductory concepts of Matterwave Interferometry. BIPARTITE STATES AND SCHMIDT DECOMPOSITION Bipartite states are one of the basic objects in Quantum Information Theory and will be defined in what follows:. Pure States Definition. Let H = H A ⊗ H B be a Hilbert space defined as a tensor product of two Hilbert spaces H A and H B.We call some pure state ∣ψ AB on the composite system A ∪ B bipartite, if it is written with respect to the partition AB, which means $|\psi\rangle_{AB QUANTIKI | QUANTUM INFORMATION PORTAL AND WIKIEVENTSGROUPSPOSITIONSABOUTRFOLMAN123NEWS Welcome to Quantiki. Welcome to Quantiki, the world's leading portal for everyone involved in quantum information science. No matter if you are a researcher, a student or an enthusiast of quantum theory, this is the place you are going to find useful and enjoyable! While here on Quantiki you can: browse our content, including fascinating and POSITIONS | QUANTIKI PostDoc. Two PhD positions in quantum photonics. 28/05/2021. PhD. Postdoc / quantum software engineer in device characterization and error-mitigation. 10/06/2021. PostDoc. Postdoctoral Research Associate in solid state quantum computing. 01/07/2021. THE NO-CLONING THEOREMTRACE DISTANCE
== Definition and Operational Meaning == The trace distance (also called the variational or Kolmogorov distance) δ : S(H) × S(H) → R is one of the most natural distance measures on S(H).It is intimately related to the problem of distinguishing two states in the following way: The value $\frac{1}{2}+\frac{1}{2}\delta(\rho,\sigma)$ is the average success probability when distinguishing (byPOSTDOC | QUANTIKI
Versatile systems including quantum dots, solid state defects and 2D material not only bring rich physics, but can also find their applications in quantum information. The postdoc position includes: I. Telecom range quantum emitter towards Practical single photon FIDELITY | QUANTIKISEE MORE ON QUANTIKI.ORGSPIN QUBITS
Spin qubits. Semiconductor quantum dots are small devices in which charge carriers are confined in all three dimensions: this can be achieved by electrical gating and/or etching techniques applied e. g. to a two-dimensional electron gas. In the quantum-dot scenario either the electron spin or the charge (orbital) degrees of freedom can be BELL STATE | QUANTIKI Bell state. A Bell state is defined as a maximally entangled quantum state of two qubit s. The qubits are usually thought to be spatially separated (held by Alice and Bob, respectively, to use quantum cryptography terms). Nevertheless they exhibit perfect correlation s which cannot be explained without quantum mechanics.BELL-DIAGONAL STATE
A Bell diagonal state is a 2-qubit state that is diagonal in the Bell basis.In other words, it is a mixture of the four Bell states. It can be written as. p I + Φ + ∣ + p x + Ψ + ∣ + p y − Ψ − ∣ +p z − Φ − ∣
BB84 AND EKERT91 PROTOCOLS BB84 and Ekert91 protocols. Benett and Brassard proposed a protocol for a secret key exchange between Alice and Bob in 1984 (BB84). Today's (symmetrical) cryptography algorithms rest upon secure key transmission. In general this key has to be transmitted through the internet (or some public channel) and an eavesdropper (Eve) can easily QUANTIKI | QUANTUM INFORMATION PORTAL AND WIKIEVENTSGROUPSPOSITIONSABOUTRFOLMAN123NEWS Welcome to Quantiki. Welcome to Quantiki, the world's leading portal for everyone involved in quantum information science. No matter if you are a researcher, a student or an enthusiast of quantum theory, this is the place you are going to find useful and enjoyable! While here on Quantiki you can: browse our content, including fascinating and POSITIONS | QUANTIKI PostDoc. Two PhD positions in quantum photonics. 28/05/2021. PhD. Postdoc / quantum software engineer in device characterization and error-mitigation. 10/06/2021. PostDoc. Postdoctoral Research Associate in solid state quantum computing. 01/07/2021. THE NO-CLONING THEOREMTRACE DISTANCE
== Definition and Operational Meaning == The trace distance (also called the variational or Kolmogorov distance) δ : S(H) × S(H) → R is one of the most natural distance measures on S(H).It is intimately related to the problem of distinguishing two states in the following way: The value $\frac{1}{2}+\frac{1}{2}\delta(\rho,\sigma)$ is the average success probability when distinguishing (byPOSTDOC | QUANTIKI
Versatile systems including quantum dots, solid state defects and 2D material not only bring rich physics, but can also find their applications in quantum information. The postdoc position includes: I. Telecom range quantum emitter towards Practical single photon FIDELITY | QUANTIKISEE MORE ON QUANTIKI.ORGSPIN QUBITS
Spin qubits. Semiconductor quantum dots are small devices in which charge carriers are confined in all three dimensions: this can be achieved by electrical gating and/or etching techniques applied e. g. to a two-dimensional electron gas. In the quantum-dot scenario either the electron spin or the charge (orbital) degrees of freedom can be BELL STATE | QUANTIKI Bell state. A Bell state is defined as a maximally entangled quantum state of two qubit s. The qubits are usually thought to be spatially separated (held by Alice and Bob, respectively, to use quantum cryptography terms). Nevertheless they exhibit perfect correlation s which cannot be explained without quantum mechanics.BELL-DIAGONAL STATE
A Bell diagonal state is a 2-qubit state that is diagonal in the Bell basis.In other words, it is a mixture of the four Bell states. It can be written as. p I + Φ + ∣ + p x + Ψ + ∣ + p y − Ψ − ∣ +p z − Φ − ∣
BB84 AND EKERT91 PROTOCOLS BB84 and Ekert91 protocols. Benett and Brassard proposed a protocol for a secret key exchange between Alice and Bob in 1984 (BB84). Today's (symmetrical) cryptography algorithms rest upon secure key transmission. In general this key has to be transmitted through the internet (or some public channel) and an eavesdropper (Eve) can easilyGROUPS | QUANTIKI
Quantiki Quantum Information Portal and Wiki. GroupsPHD | QUANTIKI
We invite applications for Postdoc and PhD positions in theoretical quantum optics, quantum information, and quantum many-body physics, in the new research group led by Hannes Pichler at the University of Innsbruck and the Institute for Quantum Optics and Quantum Information of Austrian Academy of Sciences (Innsbruck/Austria).PURE STATES
A state is called pure if it cannot be represented as a mixture (convex combination) of other states, i.e., if it is an extreme point of the convex set of states.. This is equivalent to the density matrix being a one dimensional projector, i.e., of the form ρ = |ψ ψ| for some unit vector |ψ .In this case the formula for the expectation value of an operator A in the state simplifies as trMASTER EQUATION
We shall derive the master equation of an open quantum system. As a common assumption, we assume that the whole environment (called bath) and the system are quantum mechanical, in the sense that (1) the relevant degrees of freedom are completely characterized by state vectors (or density matrices), and (2) the time evolution of the whole system is unitary U(t) = exp( − iHt), where the fullGROUPS | QUANTIKI
United States. Open quantum many-body systems (Hendrik Weimer) Theory. Germany. Optics Division, University of Strathclyde. Theory and Experiment. Oxford Ion Trap Quantum Computing Group. Theory and Experiment. Particle Astrophysics Science and Technology Centre International Research Agenda at Nicolaus Copernicus AstronomicalCenter Polish
LOCC OPERATIONS
LOCC - local operations and classical communication - are a certain type of transformation of states in quantum information theory.. Introduction. One of the tasks in quantum information theory is to distill or concentrate entanglement of a given state. Basically, there are two types of protocols which aim to perform such tasks.GROUPS | QUANTIKI
Equipe de recherche en physique de l'information quantique. Theory and Experiment. Canada. Exotic Quantum Matter Group - Strasbourg France. Experiment. France. Experimental Physics E3, TU Dortmund. Experiment.Germany.
CASIMIR EFFECT AND RADIATIVE HEAT TRANSFER WITH The “Theory of Light-Matter and Quantum Phenomena” team (see https://sites.google.com/site/mauroantezza/home for more information) at the Laboratory Charles BIPARTITE STATES AND SCHMIDT DECOMPOSITION Bipartite states are one of the basic objects in Quantum Information Theory and will be defined in what follows:. Pure States Definition. Let H = H A ⊗ H B be a Hilbert space defined as a tensor product of two Hilbert spaces H A and H B.We call some pure state ∣ψ AB on the composite system A ∪ B bipartite, if it is written with respect to the partition AB, which means $|\psi\rangle_{AB SUPERCONDUCTING CIRCUITS SUPERCONDUCTING CIRCUITS. A. Physical approach and perspective. Quantum computation with superconducting circuits exploits the intrinsic coherence of the superconducting state, into which all electrons are condensed. Quantum information is stored in the number of superconducting electrons (charge qubit), in the direction of acurrent (flux
QUANTIKI | QUANTUM INFORMATION PORTAL AND WIKIEVENTSGROUPSPOSITIONSABOUTRFOLMAN123NEWS Welcome to Quantiki. Welcome to Quantiki, the world's leading portal for everyone involved in quantum information science. No matter if you are a researcher, a student or an enthusiast of quantum theory, this is the place you are going to find useful and enjoyable! While here on Quantiki you can: browse our content, including fascinating and POSITIONS | QUANTIKI PostDoc. Two PhD positions in quantum photonics. 28/05/2021. PhD. Postdoc / quantum software engineer in device characterization and error-mitigation. 10/06/2021. PostDoc. Postdoctoral Research Associate in solid state quantum computing. 01/07/2021. THE NO-CLONING THEOREMPHD | QUANTIKI
We invite applications for Postdoc and PhD positions in theoretical quantum optics, quantum information, and quantum many-body physics, in the new research group led by Hannes Pichler at the University of Innsbruck and the Institute for Quantum Optics and Quantum Information of Austrian Academy of Sciences (Innsbruck/Austria). QCALL FINAL SYMPOSIUM ON ADVANCES IN QUANTUM The EU-funded QCALL network is delighted to organise its final scientific event in the form of an online Symposium on Advances in Quantum Communications from 3 to 5 May 2021. We have arranged a series of exciting talks by world-leading experts in the field as well as emerging stars in our community to have three afternoons of talks andTRACE DISTANCE
== Definition and Operational Meaning == The trace distance (also called the variational or Kolmogorov distance) δ : S(H) × S(H) → R is one of the most natural distance measures on S(H).It is intimately related to the problem of distinguishing two states in the following way: The value $\frac{1}{2}+\frac{1}{2}\delta(\rho,\sigma)$ is the average success probability when distinguishing (by BIPARTITE | QUANTIKI Bipartite. Something is said to bipartite if it consists of two distinct parts. In quantum information science it is often quantum systems that are shared between two parties, usually spatially separated and called Alice and Bob. If Alice's subsystem is described by the Hilbert space HA and Bob's is described by HB, the compoundbipartite
BELL STATE | QUANTIKI Bell state. A Bell state is defined as a maximally entangled quantum state of two qubit s. The qubits are usually thought to be spatially separated (held by Alice and Bob, respectively, to use quantum cryptography terms). Nevertheless they exhibit perfect correlation s which cannot be explained without quantum mechanics. MONOGAMY OF ENTANGLEMENT '''Monogamy ''' is one of the most fundamental properties of entanglement and can, in its extremal form, be expressed as follows: If two qubits A and B are maximally quantumly correlated they cannot be correlated at all with a third qubit C. In general, there is a trade-off between the amount of entanglement between qubits A and B and the same qubit A and qubit C.BOUND ENTANGLEMENT
Bound entanglement. There are states which are entangled, but no pure entangled states can be obtained from them by means of local operations and classical communication ( LOCC ). Such states are called bound entangled states (BEs). For bipartite states it means that they are entangled but have zero distillable entanglement. QUANTIKI | QUANTUM INFORMATION PORTAL AND WIKIEVENTSGROUPSPOSITIONSABOUTRFOLMAN123NEWS Welcome to Quantiki. Welcome to Quantiki, the world's leading portal for everyone involved in quantum information science. No matter if you are a researcher, a student or an enthusiast of quantum theory, this is the place you are going to find useful and enjoyable! While here on Quantiki you can: browse our content, including fascinating and POSITIONS | QUANTIKI PostDoc. Two PhD positions in quantum photonics. 28/05/2021. PhD. Postdoc / quantum software engineer in device characterization and error-mitigation. 10/06/2021. PostDoc. Postdoctoral Research Associate in solid state quantum computing. 01/07/2021. THE NO-CLONING THEOREMPHD | QUANTIKI
We invite applications for Postdoc and PhD positions in theoretical quantum optics, quantum information, and quantum many-body physics, in the new research group led by Hannes Pichler at the University of Innsbruck and the Institute for Quantum Optics and Quantum Information of Austrian Academy of Sciences (Innsbruck/Austria). QCALL FINAL SYMPOSIUM ON ADVANCES IN QUANTUM The EU-funded QCALL network is delighted to organise its final scientific event in the form of an online Symposium on Advances in Quantum Communications from 3 to 5 May 2021. We have arranged a series of exciting talks by world-leading experts in the field as well as emerging stars in our community to have three afternoons of talks andTRACE DISTANCE
== Definition and Operational Meaning == The trace distance (also called the variational or Kolmogorov distance) δ : S(H) × S(H) → R is one of the most natural distance measures on S(H).It is intimately related to the problem of distinguishing two states in the following way: The value $\frac{1}{2}+\frac{1}{2}\delta(\rho,\sigma)$ is the average success probability when distinguishing (by BIPARTITE | QUANTIKI Bipartite. Something is said to bipartite if it consists of two distinct parts. In quantum information science it is often quantum systems that are shared between two parties, usually spatially separated and called Alice and Bob. If Alice's subsystem is described by the Hilbert space HA and Bob's is described by HB, the compoundbipartite
BELL STATE | QUANTIKI Bell state. A Bell state is defined as a maximally entangled quantum state of two qubit s. The qubits are usually thought to be spatially separated (held by Alice and Bob, respectively, to use quantum cryptography terms). Nevertheless they exhibit perfect correlation s which cannot be explained without quantum mechanics. MONOGAMY OF ENTANGLEMENT '''Monogamy ''' is one of the most fundamental properties of entanglement and can, in its extremal form, be expressed as follows: If two qubits A and B are maximally quantumly correlated they cannot be correlated at all with a third qubit C. In general, there is a trade-off between the amount of entanglement between qubits A and B and the same qubit A and qubit C.BOUND ENTANGLEMENT
Bound entanglement. There are states which are entangled, but no pure entangled states can be obtained from them by means of local operations and classical communication ( LOCC ). Such states are called bound entangled states (BEs). For bipartite states it means that they are entangled but have zero distillable entanglement. POSITIONS | QUANTIKI PostDoc. Two PhD positions in quantum photonics. 28/05/2021. PhD. Postdoc / quantum software engineer in device characterization and error-mitigation. 10/06/2021. PostDoc. Postdoctoral Research Associate in solid state quantum computing. 01/07/2021.GROUPS | QUANTIKI
Quantiki Quantum Information Portal and Wiki. GroupsQUBIT | QUANTIKI
A quantum bit, or qubit (sometimes qbit) is a unit of quantum information.That information is described by a state in a 2-level quantum mechanical system which is formally equivalent to a two-dimentional vector space over the complex numbers.The two basis states (or vectors) are conventionally written as ∣0 and ∣1 (pronounced: 'ket 0' and 'ket 1') as this follows the usual bra-ketnotation
PURE STATES
A state is called pure if it cannot be represented as a mixture (convex combination) of other states, i.e., if it is an extreme point of the convex set of states.. This is equivalent to the density matrix being a one dimensional projector, i.e., of the form ρ = |ψ ψ| for some unit vector |ψ .In this case the formula for the expectation value of an operator A in the state simplifies as trPOSTDOC | QUANTIKI
Versatile systems including quantum dots, solid state defects and 2D material not only bring rich physics, but can also find their applications in quantum information. The postdoc position includes: I. Telecom range quantum emitter towards Practical single photon BELL STATE | QUANTIKI Bell state. A Bell state is defined as a maximally entangled quantum state of two qubit s. The qubits are usually thought to be spatially separated (held by Alice and Bob, respectively, to use quantum cryptography terms). Nevertheless they exhibit perfect correlation s which cannot be explained without quantum mechanics. QUANTUM RELATIVE ENTROPY The quantum relative entropy, in analogy with the classical relative entropy or Kullback-Leibler divergence, is a measure of closeness between two states.It was defined by Denis Petz as. D(ρ∣∣σ) = Trρ(logρ − logσ). where ρ and σ are two density matrices.. It has a number of applications including its use in proving strongsub-additivity.
COHERENT INFORMATION The coherent information is a quantity used in quantum communication theory. It is a property of a quantum state and a quantum channel Λ; intuitively, it attempts to describe how much of the quantum information in the state will remain after the state goes through the channel. In this sense, it is analogous to the classical mutual information of classical information theory. ASSOCIATE EDITOR, PHYSICAL REVIEW A The editors of Physical Review A seek a dynamic and personable colleague for the position of Associate Editor. The primary responsibility is to manage the peer review process and decide, aided by expert input, which papers merit publication according to thejournal's criteria.
NEGATIVITY | QUANTIKI Negativity. The negativity quant-ph/0102117 is an entanglement measure which is easy to compute. The negativity can be defined as: N ( ρ) := | | ρ Γ A | | 1 − 1 2. An alternative and equivalent definition is the absolute sum of the negative eigenvalues of ρΓA: where λi are all of the eigenvalues. QUANTIKI | QUANTUM INFORMATION PORTAL AND WIKIEVENTSGROUPSPOSITIONSABOUTRFOLMAN123NEWS Welcome to Quantiki. Welcome to Quantiki, the world's leading portal for everyone involved in quantum information science. No matter if you are a researcher, a student or an enthusiast of quantum theory, this is the place you are going to find useful and enjoyable! While here on Quantiki you can: browse our content, including fascinating and POSITIONS | QUANTIKI PostDoc. Two PhD positions in quantum photonics. 28/05/2021. PhD. Postdoc / quantum software engineer in device characterization and error-mitigation. 10/06/2021. PostDoc. Postdoctoral Research Associate in solid state quantum computing. 01/07/2021. THE NO-CLONING THEOREM POSTDOC ON QUANTUM THERMODYNAMICS Quantum Technology at Queen's. A postdoctoral research position to undertake theoretical research on “Quantum Thermodynamics” for 30 months from 01/05/2020 to 31/10/2022 is open for applications until 03/01/2020. This post will be funded by an EPSRC grant entitled “Quantum Many-Body Engines” awarded to Dr. Gabriele De Chiara.POSTDOC | QUANTIKI
Versatile systems including quantum dots, solid state defects and 2D material not only bring rich physics, but can also find their applications in quantum information. The postdoc position includes: I. Telecom range quantum emitter towards Practical single photon PHD POSITION THEORY IN QUANTUM COMMUNICATION NETWORKS A PhD Position is availble in the design of quantum repeaters and quantum communication networks. This involves both theoretical designs and analysis, as well as numerical simulations on a purpose build simulation platform at QuTech. While this is a purely theoretical project, an interest in the workings of experimental realizations isuseful.
ASSOCIATE EDITOR, PHYSICAL REVIEW A The editors of Physical Review A seek a dynamic and personable colleague for the position of Associate Editor. The primary responsibility is to manage the peer review process and decide, aided by expert input, which papers merit publication according to thejournal's criteria.
MONOGAMY OF ENTANGLEMENT '''Monogamy ''' is one of the most fundamental properties of entanglement and can, in its extremal form, be expressed as follows: If two qubits A and B are maximally quantumly correlated they cannot be correlated at all with a third qubit C. In general, there is a trade-off between the amount of entanglement between qubits A and B and the same qubit A and qubit C. NEGATIVITY | QUANTIKI Negativity. The negativity quant-ph/0102117 is an entanglement measure which is easy to compute. The negativity can be defined as: N ( ρ) := | | ρ Γ A | | 1 − 1 2. An alternative and equivalent definition is the absolute sum of the negative eigenvalues of ρΓA: where λi are all of the eigenvalues.EBLER.DAN@GMAIL.COM
Senior Researcher (Group Leader) at Huawei Theory Lab, Hong Kong, and Lecturer at The University of Hong Kong. I am building up my research group within Theory lab, and am hiring talented researchers (holding a PhD, or close to completion) in the fields of quantum optimization, quantum computation, quantum machine learning, quantum networks, quantum thermodynamics, quantum causality, and QUANTIKI | QUANTUM INFORMATION PORTAL AND WIKIEVENTSGROUPSPOSITIONSABOUTRFOLMAN123NEWS Welcome to Quantiki. Welcome to Quantiki, the world's leading portal for everyone involved in quantum information science. No matter if you are a researcher, a student or an enthusiast of quantum theory, this is the place you are going to find useful and enjoyable! While here on Quantiki you can: browse our content, including fascinating and POSITIONS | QUANTIKI PostDoc. Two PhD positions in quantum photonics. 28/05/2021. PhD. Postdoc / quantum software engineer in device characterization and error-mitigation. 10/06/2021. PostDoc. Postdoctoral Research Associate in solid state quantum computing. 01/07/2021. THE NO-CLONING THEOREM POSTDOC ON QUANTUM THERMODYNAMICS Quantum Technology at Queen's. A postdoctoral research position to undertake theoretical research on “Quantum Thermodynamics” for 30 months from 01/05/2020 to 31/10/2022 is open for applications until 03/01/2020. This post will be funded by an EPSRC grant entitled “Quantum Many-Body Engines” awarded to Dr. Gabriele De Chiara.POSTDOC | QUANTIKI
Versatile systems including quantum dots, solid state defects and 2D material not only bring rich physics, but can also find their applications in quantum information. The postdoc position includes: I. Telecom range quantum emitter towards Practical single photon PHD POSITION THEORY IN QUANTUM COMMUNICATION NETWORKS A PhD Position is availble in the design of quantum repeaters and quantum communication networks. This involves both theoretical designs and analysis, as well as numerical simulations on a purpose build simulation platform at QuTech. While this is a purely theoretical project, an interest in the workings of experimental realizations isuseful.
ASSOCIATE EDITOR, PHYSICAL REVIEW A The editors of Physical Review A seek a dynamic and personable colleague for the position of Associate Editor. The primary responsibility is to manage the peer review process and decide, aided by expert input, which papers merit publication according to thejournal's criteria.
MONOGAMY OF ENTANGLEMENT '''Monogamy ''' is one of the most fundamental properties of entanglement and can, in its extremal form, be expressed as follows: If two qubits A and B are maximally quantumly correlated they cannot be correlated at all with a third qubit C. In general, there is a trade-off between the amount of entanglement between qubits A and B and the same qubit A and qubit C. NEGATIVITY | QUANTIKI Negativity. The negativity quant-ph/0102117 is an entanglement measure which is easy to compute. The negativity can be defined as: N ( ρ) := | | ρ Γ A | | 1 − 1 2. An alternative and equivalent definition is the absolute sum of the negative eigenvalues of ρΓA: where λi are all of the eigenvalues.EBLER.DAN@GMAIL.COM
Senior Researcher (Group Leader) at Huawei Theory Lab, Hong Kong, and Lecturer at The University of Hong Kong. I am building up my research group within Theory lab, and am hiring talented researchers (holding a PhD, or close to completion) in the fields of quantum optimization, quantum computation, quantum machine learning, quantum networks, quantum thermodynamics, quantum causality, and POSITIONS | QUANTIKI PostDoc. Two PhD positions in quantum photonics. 28/05/2021. PhD. Postdoc / quantum software engineer in device characterization and error-mitigation. 10/06/2021. PostDoc. Postdoctoral Research Associate in solid state quantum computing. 01/07/2021.GROUPS | QUANTIKI
Quantiki Quantum Information Portal and Wiki. GroupsPHD | QUANTIKI
We invite applications for Postdoc and PhD positions in theoretical quantum optics, quantum information, and quantum many-body physics, in the new research group led by Hannes Pichler at the University of Innsbruck and the Institute for Quantum Optics and Quantum Information of Austrian Academy of Sciences (Innsbruck/Austria). POSITIONS | QUANTIKI Quantiki Quantum Information Portal and Wiki. Positions . Job typeQUBIT | QUANTIKI
A quantum bit, or qubit (sometimes qbit) is a unit of quantum information.That information is described by a state in a 2-level quantum mechanical system which is formally equivalent to a two-dimentional vector space over the complex numbers.The two basis states (or vectors) are conventionally written as ∣0 and ∣1 (pronounced: 'ket 0' and 'ket 1') as this follows the usual bra-ketnotation
MIXED STATES
Mixed states. Mixing quantum states is a basic operation, by which several different preparations are combined by switching between different preparing procedures with a classical random generator. When the outcome x of the random generator occurs with probability px, and if ρx is the state prepared upon outcome x, then the overall stateTRACE DISTANCE
== Definition and Operational Meaning == The trace distance (also called the variational or Kolmogorov distance) δ : S(H) × S(H) → R is one of the most natural distance measures on S(H).It is intimately related to the problem of distinguishing two states in the following way: The value $\frac{1}{2}+\frac{1}{2}\delta(\rho,\sigma)$ is the average success probability when distinguishing (by BELL STATE | QUANTIKI Bell state. A Bell state is defined as a maximally entangled quantum state of two qubit s. The qubits are usually thought to be spatially separated (held by Alice and Bob, respectively, to use quantum cryptography terms). Nevertheless they exhibit perfect correlation s which cannot be explained without quantum mechanics. QUANTUM RELATIVE ENTROPY The quantum relative entropy, in analogy with the classical relative entropy or Kullback-Leibler divergence, is a measure of closeness between two states.It was defined by Denis Petz as. D(ρ∣∣σ) = Trρ(logρ − logσ). where ρ and σ are two density matrices.. It has a number of applications including its use in proving strongsub-additivity.
OPTICAL LATTICES
Optical Lattices. An optical lattice is simply a set of standing wave lasers. The electric field of these lasers can interact with atoms - the atoms see a potential and therefore congregate in the potential minima. In the case of a typical one-dimensional setup, the wavelength of the opposing lasers is chosen so that the light shift is negative. QUANTIKI | QUANTUM INFORMATION PORTAL AND WIKIEVENTSGROUPSPOSITIONSABOUTRFOLMAN123NEWS Welcome to Quantiki. Welcome to Quantiki, the world's leading portal for everyone involved in quantum information science. No matter if you are a researcher, a student or an enthusiast of quantum theory, this is the place you are going to find useful and enjoyable! While here on Quantiki you can: browse our content, including fascinating and POSITIONS | QUANTIKI PostDoc. Two PhD positions in quantum photonics. 28/05/2021. PhD. Postdoc / quantum software engineer in device characterization and error-mitigation. 10/06/2021. PostDoc. Postdoctoral Research Associate in solid state quantum computing. 01/07/2021. THE NO-CLONING THEOREM POSTDOC ON QUANTUM THERMODYNAMICS Quantum Technology at Queen's. A postdoctoral research position to undertake theoretical research on “Quantum Thermodynamics” for 30 months from 01/05/2020 to 31/10/2022 is open for applications until 03/01/2020. This post will be funded by an EPSRC grant entitled “Quantum Many-Body Engines” awarded to Dr. Gabriele De Chiara.POSTDOC | QUANTIKI
Versatile systems including quantum dots, solid state defects and 2D material not only bring rich physics, but can also find their applications in quantum information. The postdoc position includes: I. Telecom range quantum emitter towards Practical single photon PHD POSITION THEORY IN QUANTUM COMMUNICATION NETWORKS A PhD Position is availble in the design of quantum repeaters and quantum communication networks. This involves both theoretical designs and analysis, as well as numerical simulations on a purpose build simulation platform at QuTech. While this is a purely theoretical project, an interest in the workings of experimental realizations isuseful.
ASSOCIATE EDITOR, PHYSICAL REVIEW A The editors of Physical Review A seek a dynamic and personable colleague for the position of Associate Editor. The primary responsibility is to manage the peer review process and decide, aided by expert input, which papers merit publication according to thejournal's criteria.
MONOGAMY OF ENTANGLEMENT '''Monogamy ''' is one of the most fundamental properties of entanglement and can, in its extremal form, be expressed as follows: If two qubits A and B are maximally quantumly correlated they cannot be correlated at all with a third qubit C. In general, there is a trade-off between the amount of entanglement between qubits A and B and the same qubit A and qubit C. NEGATIVITY | QUANTIKI Negativity. The negativity quant-ph/0102117 is an entanglement measure which is easy to compute. The negativity can be defined as: N ( ρ) := | | ρ Γ A | | 1 − 1 2. An alternative and equivalent definition is the absolute sum of the negative eigenvalues of ρΓA: where λi are all of the eigenvalues.EBLER.DAN@GMAIL.COM
Senior Researcher (Group Leader) at Huawei Theory Lab, Hong Kong, and Lecturer at The University of Hong Kong. I am building up my research group within Theory lab, and am hiring talented researchers (holding a PhD, or close to completion) in the fields of quantum optimization, quantum computation, quantum machine learning, quantum networks, quantum thermodynamics, quantum causality, and QUANTIKI | QUANTUM INFORMATION PORTAL AND WIKIEVENTSGROUPSPOSITIONSABOUTRFOLMAN123NEWS Welcome to Quantiki. Welcome to Quantiki, the world's leading portal for everyone involved in quantum information science. No matter if you are a researcher, a student or an enthusiast of quantum theory, this is the place you are going to find useful and enjoyable! While here on Quantiki you can: browse our content, including fascinating and POSITIONS | QUANTIKI PostDoc. Two PhD positions in quantum photonics. 28/05/2021. PhD. Postdoc / quantum software engineer in device characterization and error-mitigation. 10/06/2021. PostDoc. Postdoctoral Research Associate in solid state quantum computing. 01/07/2021. THE NO-CLONING THEOREM POSTDOC ON QUANTUM THERMODYNAMICS Quantum Technology at Queen's. A postdoctoral research position to undertake theoretical research on “Quantum Thermodynamics” for 30 months from 01/05/2020 to 31/10/2022 is open for applications until 03/01/2020. This post will be funded by an EPSRC grant entitled “Quantum Many-Body Engines” awarded to Dr. Gabriele De Chiara.POSTDOC | QUANTIKI
Versatile systems including quantum dots, solid state defects and 2D material not only bring rich physics, but can also find their applications in quantum information. The postdoc position includes: I. Telecom range quantum emitter towards Practical single photon PHD POSITION THEORY IN QUANTUM COMMUNICATION NETWORKS A PhD Position is availble in the design of quantum repeaters and quantum communication networks. This involves both theoretical designs and analysis, as well as numerical simulations on a purpose build simulation platform at QuTech. While this is a purely theoretical project, an interest in the workings of experimental realizations isuseful.
ASSOCIATE EDITOR, PHYSICAL REVIEW A The editors of Physical Review A seek a dynamic and personable colleague for the position of Associate Editor. The primary responsibility is to manage the peer review process and decide, aided by expert input, which papers merit publication according to thejournal's criteria.
MONOGAMY OF ENTANGLEMENT '''Monogamy ''' is one of the most fundamental properties of entanglement and can, in its extremal form, be expressed as follows: If two qubits A and B are maximally quantumly correlated they cannot be correlated at all with a third qubit C. In general, there is a trade-off between the amount of entanglement between qubits A and B and the same qubit A and qubit C. NEGATIVITY | QUANTIKI Negativity. The negativity quant-ph/0102117 is an entanglement measure which is easy to compute. The negativity can be defined as: N ( ρ) := | | ρ Γ A | | 1 − 1 2. An alternative and equivalent definition is the absolute sum of the negative eigenvalues of ρΓA: where λi are all of the eigenvalues.EBLER.DAN@GMAIL.COM
Senior Researcher (Group Leader) at Huawei Theory Lab, Hong Kong, and Lecturer at The University of Hong Kong. I am building up my research group within Theory lab, and am hiring talented researchers (holding a PhD, or close to completion) in the fields of quantum optimization, quantum computation, quantum machine learning, quantum networks, quantum thermodynamics, quantum causality, and POSITIONS | QUANTIKI PostDoc. Two PhD positions in quantum photonics. 28/05/2021. PhD. Postdoc / quantum software engineer in device characterization and error-mitigation. 10/06/2021. PostDoc. Postdoctoral Research Associate in solid state quantum computing. 01/07/2021.GROUPS | QUANTIKI
Quantiki Quantum Information Portal and Wiki. GroupsPHD | QUANTIKI
We invite applications for Postdoc and PhD positions in theoretical quantum optics, quantum information, and quantum many-body physics, in the new research group led by Hannes Pichler at the University of Innsbruck and the Institute for Quantum Optics and Quantum Information of Austrian Academy of Sciences (Innsbruck/Austria). POSITIONS | QUANTIKI Quantiki Quantum Information Portal and Wiki. Positions . Job typeQUBIT | QUANTIKI
A quantum bit, or qubit (sometimes qbit) is a unit of quantum information.That information is described by a state in a 2-level quantum mechanical system which is formally equivalent to a two-dimentional vector space over the complex numbers.The two basis states (or vectors) are conventionally written as ∣0 and ∣1 (pronounced: 'ket 0' and 'ket 1') as this follows the usual bra-ketnotation
MIXED STATES
Mixed states. Mixing quantum states is a basic operation, by which several different preparations are combined by switching between different preparing procedures with a classical random generator. When the outcome x of the random generator occurs with probability px, and if ρx is the state prepared upon outcome x, then the overall stateTRACE DISTANCE
== Definition and Operational Meaning == The trace distance (also called the variational or Kolmogorov distance) δ : S(H) × S(H) → R is one of the most natural distance measures on S(H).It is intimately related to the problem of distinguishing two states in the following way: The value $\frac{1}{2}+\frac{1}{2}\delta(\rho,\sigma)$ is the average success probability when distinguishing (by BELL STATE | QUANTIKI Bell state. A Bell state is defined as a maximally entangled quantum state of two qubit s. The qubits are usually thought to be spatially separated (held by Alice and Bob, respectively, to use quantum cryptography terms). Nevertheless they exhibit perfect correlation s which cannot be explained without quantum mechanics. QUANTUM RELATIVE ENTROPY The quantum relative entropy, in analogy with the classical relative entropy or Kullback-Leibler divergence, is a measure of closeness between two states.It was defined by Denis Petz as. D(ρ∣∣σ) = Trρ(logρ − logσ). where ρ and σ are two density matrices.. It has a number of applications including its use in proving strongsub-additivity.
OPTICAL LATTICES
Optical Lattices. An optical lattice is simply a set of standing wave lasers. The electric field of these lasers can interact with atoms - the atoms see a potential and therefore congregate in the potential minima. In the case of a typical one-dimensional setup, the wavelength of the opposing lasers is chosen so that the light shift is negative. QUANTIKI | QUANTUM INFORMATION PORTAL AND WIKIEVENTSGROUPSPOSITIONSABOUTRFOLMAN123NEWSQUANTUM GATE GAMEQUANTUM GATE TANGERINE DREAMQUANTUM GATES EXPLAINEDQUANTUM LOGIC GATES Welcome to Quantiki. Welcome to Quantiki, the world's leading portal for everyone involved in quantum information science. No matter if you are a researcher, a student or an enthusiast of quantum theory, this is the place you are going to find useful and enjoyable! While here on Quantiki you can: browse our content, including fascinating and POSITIONS | QUANTIKI PostDoc. Two PhD positions in quantum photonics. 28/05/2021. PhD. Postdoc / quantum software engineer in device characterization and error-mitigation. 10/06/2021. PostDoc. Postdoctoral Research Associate in solid state quantum computing. 01/07/2021. THE NO-CLONING THEOREM POSTDOC ON QUANTUM THERMODYNAMICS Quantum Technology at Queen's. A postdoctoral research position to undertake theoretical research on “Quantum Thermodynamics” for 30 months from 01/05/2020 to 31/10/2022 is open for applications until 03/01/2020. This post will be funded by an EPSRC grant entitled “Quantum Many-Body Engines” awarded to Dr. Gabriele De Chiara.POSTDOC | QUANTIKI
Versatile systems including quantum dots, solid state defects and 2D material not only bring rich physics, but can also find their applications in quantum information. The postdoc position includes: I. Telecom range quantum emitter towards Practical single photon PHD POSITION THEORY IN QUANTUM COMMUNICATION NETWORKS A PhD Position is availble in the design of quantum repeaters and quantum communication networks. This involves both theoretical designs and analysis, as well as numerical simulations on a purpose build simulation platform at QuTech. While this is a purely theoretical project, an interest in the workings of experimental realizations isuseful.
ASSOCIATE EDITOR, PHYSICAL REVIEW A The editors of Physical Review A seek a dynamic and personable colleague for the position of Associate Editor. The primary responsibility is to manage the peer review process and decide, aided by expert input, which papers merit publication according to thejournal's criteria.
MONOGAMY OF ENTANGLEMENT '''Monogamy ''' is one of the most fundamental properties of entanglement and can, in its extremal form, be expressed as follows: If two qubits A and B are maximally quantumly correlated they cannot be correlated at all with a third qubit C. In general, there is a trade-off between the amount of entanglement between qubits A and B and the same qubit A and qubit C. NEGATIVITY | QUANTIKI Negativity. The negativity quant-ph/0102117 is an entanglement measure which is easy to compute. The negativity can be defined as: N ( ρ) := | | ρ Γ A | | 1 − 1 2. An alternative and equivalent definition is the absolute sum of the negative eigenvalues of ρΓA: where λi are all of the eigenvalues.EBLER.DAN@GMAIL.COM
Senior Researcher (Group Leader) at Huawei Theory Lab, Hong Kong, and Lecturer at The University of Hong Kong. I am building up my research group within Theory lab, and am hiring talented researchers (holding a PhD, or close to completion) in the fields of quantum optimization, quantum computation, quantum machine learning, quantum networks, quantum thermodynamics, quantum causality, and QUANTIKI | QUANTUM INFORMATION PORTAL AND WIKIEVENTSGROUPSPOSITIONSABOUTRFOLMAN123NEWSQUANTUM GATE GAMEQUANTUM GATE TANGERINE DREAMQUANTUM GATES EXPLAINEDQUANTUM LOGIC GATES Welcome to Quantiki. Welcome to Quantiki, the world's leading portal for everyone involved in quantum information science. No matter if you are a researcher, a student or an enthusiast of quantum theory, this is the place you are going to find useful and enjoyable! While here on Quantiki you can: browse our content, including fascinating and POSITIONS | QUANTIKI PostDoc. Two PhD positions in quantum photonics. 28/05/2021. PhD. Postdoc / quantum software engineer in device characterization and error-mitigation. 10/06/2021. PostDoc. Postdoctoral Research Associate in solid state quantum computing. 01/07/2021. THE NO-CLONING THEOREM POSTDOC ON QUANTUM THERMODYNAMICS Quantum Technology at Queen's. A postdoctoral research position to undertake theoretical research on “Quantum Thermodynamics” for 30 months from 01/05/2020 to 31/10/2022 is open for applications until 03/01/2020. This post will be funded by an EPSRC grant entitled “Quantum Many-Body Engines” awarded to Dr. Gabriele De Chiara.POSTDOC | QUANTIKI
Versatile systems including quantum dots, solid state defects and 2D material not only bring rich physics, but can also find their applications in quantum information. The postdoc position includes: I. Telecom range quantum emitter towards Practical single photon PHD POSITION THEORY IN QUANTUM COMMUNICATION NETWORKS A PhD Position is availble in the design of quantum repeaters and quantum communication networks. This involves both theoretical designs and analysis, as well as numerical simulations on a purpose build simulation platform at QuTech. While this is a purely theoretical project, an interest in the workings of experimental realizations isuseful.
ASSOCIATE EDITOR, PHYSICAL REVIEW A The editors of Physical Review A seek a dynamic and personable colleague for the position of Associate Editor. The primary responsibility is to manage the peer review process and decide, aided by expert input, which papers merit publication according to thejournal's criteria.
MONOGAMY OF ENTANGLEMENT '''Monogamy ''' is one of the most fundamental properties of entanglement and can, in its extremal form, be expressed as follows: If two qubits A and B are maximally quantumly correlated they cannot be correlated at all with a third qubit C. In general, there is a trade-off between the amount of entanglement between qubits A and B and the same qubit A and qubit C. NEGATIVITY | QUANTIKI Negativity. The negativity quant-ph/0102117 is an entanglement measure which is easy to compute. The negativity can be defined as: N ( ρ) := | | ρ Γ A | | 1 − 1 2. An alternative and equivalent definition is the absolute sum of the negative eigenvalues of ρΓA: where λi are all of the eigenvalues.EBLER.DAN@GMAIL.COM
Senior Researcher (Group Leader) at Huawei Theory Lab, Hong Kong, and Lecturer at The University of Hong Kong. I am building up my research group within Theory lab, and am hiring talented researchers (holding a PhD, or close to completion) in the fields of quantum optimization, quantum computation, quantum machine learning, quantum networks, quantum thermodynamics, quantum causality, and POSITIONS | QUANTIKI PostDoc. Two PhD positions in quantum photonics. 28/05/2021. PhD. Postdoc / quantum software engineer in device characterization and error-mitigation. 10/06/2021. PostDoc. Postdoctoral Research Associate in solid state quantum computing. 01/07/2021.GROUPS | QUANTIKI
Quantiki Quantum Information Portal and Wiki. GroupsPHD | QUANTIKI
We invite applications for Postdoc and PhD positions in theoretical quantum optics, quantum information, and quantum many-body physics, in the new research group led by Hannes Pichler at the University of Innsbruck and the Institute for Quantum Optics and Quantum Information of Austrian Academy of Sciences (Innsbruck/Austria). POSITIONS | QUANTIKI Quantiki Quantum Information Portal and Wiki. Positions . Job typeQUBIT | QUANTIKI
A quantum bit, or qubit (sometimes qbit) is a unit of quantum information.That information is described by a state in a 2-level quantum mechanical system which is formally equivalent to a two-dimentional vector space over the complex numbers.The two basis states (or vectors) are conventionally written as ∣0 and ∣1 (pronounced: 'ket 0' and 'ket 1') as this follows the usual bra-ketnotation
MIXED STATES
Mixed states. Mixing quantum states is a basic operation, by which several different preparations are combined by switching between different preparing procedures with a classical random generator. When the outcome x of the random generator occurs with probability px, and if ρx is the state prepared upon outcome x, then the overall stateTRACE DISTANCE
== Definition and Operational Meaning == The trace distance (also called the variational or Kolmogorov distance) δ : S(H) × S(H) → R is one of the most natural distance measures on S(H).It is intimately related to the problem of distinguishing two states in the following way: The value $\frac{1}{2}+\frac{1}{2}\delta(\rho,\sigma)$ is the average success probability when distinguishing (by BELL STATE | QUANTIKI Bell state. A Bell state is defined as a maximally entangled quantum state of two qubit s. The qubits are usually thought to be spatially separated (held by Alice and Bob, respectively, to use quantum cryptography terms). Nevertheless they exhibit perfect correlation s which cannot be explained without quantum mechanics. QUANTUM RELATIVE ENTROPY The quantum relative entropy, in analogy with the classical relative entropy or Kullback-Leibler divergence, is a measure of closeness between two states.It was defined by Denis Petz as. D(ρ∣∣σ) = Trρ(logρ − logσ). where ρ and σ are two density matrices.. It has a number of applications including its use in proving strongsub-additivity.
OPTICAL LATTICES
Optical Lattices. An optical lattice is simply a set of standing wave lasers. The electric field of these lasers can interact with atoms - the atoms see a potential and therefore congregate in the potential minima. In the case of a typical one-dimensional setup, the wavelength of the opposing lasers is chosen so that the light shift is negative. QUANTIKI | QUANTUM INFORMATION PORTAL AND WIKIEVENTSGROUPSPOSITIONSABOUTRFOLMAN123NEWSQUANTUM GATE GAMEQUANTUM GATE TANGERINE DREAMQUANTUM GATES EXPLAINEDQUANTUM LOGIC GATES Welcome to Quantiki, the world's leading portal for everyone involved in quantum information science. No matter if you are a researcher, a student or an enthusiast of quantum theory, this is the place you are going to find useful and enjoyable! THE NO-CLONING THEOREM PHD POSITION THEORY IN QUANTUM COMMUNICATION NETWORKS A PhD Position is available to work on long-distance quantum communication networks! Background. The vision of a Quantum Internet is to provide fundamentally new internet technology by enabling quantum communication between any two points on earth. POSTDOC ON QUANTUM THERMODYNAMICS A postdoctoral research position to undertake theoretical research on “Quantum Thermodynamics” for 30 months from 01/05/2020 to 31/10/2022 is open for applications until 03/01/2020.POSTDOC | QUANTIKI
We invite applications for Postdoc and PhD positions in theoretical quantum optics, quantum information, and quantum many-body physics, in the new research group led by Hannes Pichler at the University of Innsbruck and the Institute for Quantum Optics and Quantum Information of Austrian Academy of Sciences (Innsbruck/Austria). NEGATIVITY | QUANTIKI Quantiki Quantum Information Portal and Wiki. Negativity . The negativityquant-ph/0102117 is an entanglement measure which is easy to compute.. The negativity can be defined as: $$\mathcal{N}(\rho) := \frac{||\rho^{\Gamma_A}||_1-1}{2}$$ ASSOCIATE EDITOR, PHYSICAL REVIEW A The editors of Physical Review A seek a dynamic and personable colleague for the position of Associate Editor. The primary responsibility is to manage the peer review process and decide, aided by expert input, which papers merit publication according to thejournal's criteria.
MONOGAMY OF ENTANGLEMENT '''Monogamy ''' is one of the most fundamental properties of entanglement and can, in its extremal form, be expressed as follows: If two qubits A and B are maximally quantumly correlated they cannot be correlated at all with a third qubit C. In general, there is a trade-off between the amount of entanglement between qubits A and B and the same qubit A and qubit C.PHOTONIC CRYSTALS
Photonic crystals are periodic dielectric or metallo-dielectric (nano)structures that are designed to affect the propagation of electromagnetic waves (EM) in the same way as the periodic potential in a semiconductor crystal affects the electron motion by defining allowed and forbidden electronic energy bands. The absence of allowed propagating EM modes inside the structures, in a range ofEBLER.DAN@GMAIL.COM
Senior Researcher (Group Leader) at Huawei Theory Lab, Hong Kong, and Lecturer at The University of Hong Kong. I am building up my research group within Theory lab, and am hiring talented researchers (holding a PhD, or close to completion) in the fields of quantum optimization, quantum computation, quantum machine learning, quantum networks, quantum thermodynamics, quantum causality, and QUANTIKI | QUANTUM INFORMATION PORTAL AND WIKIEVENTSGROUPSPOSITIONSABOUTRFOLMAN123NEWSQUANTUM GATE GAMEQUANTUM GATE TANGERINE DREAMQUANTUM GATES EXPLAINEDQUANTUM LOGIC GATES Welcome to Quantiki, the world's leading portal for everyone involved in quantum information science. No matter if you are a researcher, a student or an enthusiast of quantum theory, this is the place you are going to find useful and enjoyable! THE NO-CLONING THEOREM PHD POSITION THEORY IN QUANTUM COMMUNICATION NETWORKS A PhD Position is available to work on long-distance quantum communication networks! Background. The vision of a Quantum Internet is to provide fundamentally new internet technology by enabling quantum communication between any two points on earth. POSTDOC ON QUANTUM THERMODYNAMICS A postdoctoral research position to undertake theoretical research on “Quantum Thermodynamics” for 30 months from 01/05/2020 to 31/10/2022 is open for applications until 03/01/2020.POSTDOC | QUANTIKI
We invite applications for Postdoc and PhD positions in theoretical quantum optics, quantum information, and quantum many-body physics, in the new research group led by Hannes Pichler at the University of Innsbruck and the Institute for Quantum Optics and Quantum Information of Austrian Academy of Sciences (Innsbruck/Austria). NEGATIVITY | QUANTIKI Quantiki Quantum Information Portal and Wiki. Negativity . The negativityquant-ph/0102117 is an entanglement measure which is easy to compute.. The negativity can be defined as: $$\mathcal{N}(\rho) := \frac{||\rho^{\Gamma_A}||_1-1}{2}$$ ASSOCIATE EDITOR, PHYSICAL REVIEW A The editors of Physical Review A seek a dynamic and personable colleague for the position of Associate Editor. The primary responsibility is to manage the peer review process and decide, aided by expert input, which papers merit publication according to thejournal's criteria.
MONOGAMY OF ENTANGLEMENT '''Monogamy ''' is one of the most fundamental properties of entanglement and can, in its extremal form, be expressed as follows: If two qubits A and B are maximally quantumly correlated they cannot be correlated at all with a third qubit C. In general, there is a trade-off between the amount of entanglement between qubits A and B and the same qubit A and qubit C.PHOTONIC CRYSTALS
Photonic crystals are periodic dielectric or metallo-dielectric (nano)structures that are designed to affect the propagation of electromagnetic waves (EM) in the same way as the periodic potential in a semiconductor crystal affects the electron motion by defining allowed and forbidden electronic energy bands. The absence of allowed propagating EM modes inside the structures, in a range ofEBLER.DAN@GMAIL.COM
Senior Researcher (Group Leader) at Huawei Theory Lab, Hong Kong, and Lecturer at The University of Hong Kong. I am building up my research group within Theory lab, and am hiring talented researchers (holding a PhD, or close to completion) in the fields of quantum optimization, quantum computation, quantum machine learning, quantum networks, quantum thermodynamics, quantum causality, andMIXED STATES
Mixing quantum states is a basic operation, by which several different preparations are combined by switching between different preparing procedures with a classical random generator.QUANTUM DISCORD
== Introduction == Discord happens to be one of the many quantities that can measure the non-classicality of a given quantum system.Discord is based on the measure of mutual information between two parts of a system. BELL STATE | QUANTIKI A Bell state is defined as a maximally entangled quantum state of two qubits. The qubits are usually thought to be spatially separated (held by Alice and Bob, respectively, to use quantum cryptography terms). Nevertheless they exhibit perfect correlations which cannot be explained without quantum mechanics. $|\Phi^+\rangle = \frac{1}{\sqrt{2}} (|0\rangle_A \otimes |0\rangle_B + |1\rangle_AOPTICAL LATTICES
An optical lattice is simply a set of standing wave lasers. The electric field of these lasers can interact with atoms - the atoms see a potential and therefore congregate in the potential minima. In the case of a typical one-dimensional setup, the wavelength of theopposing lasers is
BRA-KET NOTATION
== Bra-ket notation == Paul Dirac invented a powerful and intuitive mathematical notation to describe quantum states, known as bra-ket notation.For instance, one can refer to an |excited atom> or to ∣ ↑ for a spin-up particle, hiding the underlying complexity of the mathematical description, which is revealed when the state is projected onto a coordinate basis.GROUPS | QUANTIKI
Quantiki Quantum Information Portal and Wiki. GroupsPHD | QUANTIKI
We invite applications for Postdoc and PhD positions in theoretical quantum optics, quantum information, and quantum many-body physics, in the new research group led by Hannes Pichler at the University of Innsbruck and the Institute for Quantum Optics and Quantum Information of Austrian Academy of Sciences (Innsbruck/Austria). POSITIONS | QUANTIKI Quantiki Quantum Information Portal and Wiki. Positions . Job typeQUBIT | QUANTIKI
A quantum bit, or qubit (sometimes qbit) is a unit of quantum information.That information is described by a state in a 2-level quantum mechanical system which is formally equivalent to a two-dimentional vector space over the complex numbers.The two basis states (or vectors) are conventionally written as ∣0 and ∣1 (pronounced: 'ket 0' and 'ket 1') as this follows the usual bra-ketnotation
TRACE DISTANCE
== Definition and Operational Meaning == The trace distance (also called the variational or Kolmogorov distance) δ : S(H) × S(H) → R is one of the most natural distance measures on S(H).It is intimately related to the problem of distinguishing two states in the following way: The value $\frac{1}{2}+\frac{1}{2}\delta(\rho,\sigma)$ is the average success probability when distinguishing (by QUANTIKI | QUANTUM INFORMATION PORTAL AND WIKIEVENTSGROUPSPOSITIONSABOUTRFOLMAN123NEWS Welcome to Quantiki, the world's leading portal for everyone involved in quantum information science. No matter if you are a researcher, a student or an enthusiast of quantum theory, this is the place you are going to find useful and enjoyable! THE NO-CLONING THEOREM POSTDOC ON QUANTUM THERMODYNAMICS A postdoctoral research position to undertake theoretical research on “Quantum Thermodynamics” for 30 months from 01/05/2020 to 31/10/2022 is open for applications until 03/01/2020. PHD POSITION THEORY IN QUANTUM COMMUNICATION NETWORKS A PhD Position is available to work on long-distance quantum communication networks! Background. The vision of a Quantum Internet is to provide fundamentally new internet technology by enabling quantum communication between any two points on earth.POSTDOC | QUANTIKI
We invite applications for Postdoc and PhD positions in theoretical quantum optics, quantum information, and quantum many-body physics, in the new research group led by Hannes Pichler at the University of Innsbruck and the Institute for Quantum Optics and Quantum Information of Austrian Academy of Sciences (Innsbruck/Austria). NEGATIVITY | QUANTIKI Quantiki Quantum Information Portal and Wiki. Negativity . The negativityquant-ph/0102117 is an entanglement measure which is easy to compute.. The negativity can be defined as: $$\mathcal{N}(\rho) := \frac{||\rho^{\Gamma_A}||_1-1}{2}$$ ASSOCIATE EDITOR, PHYSICAL REVIEW A The editors of Physical Review A seek a dynamic and personable colleague for the position of Associate Editor. The primary responsibility is to manage the peer review process and decide, aided by expert input, which papers merit publication according to thejournal's criteria.
MONOGAMY OF ENTANGLEMENT '''Monogamy ''' is one of the most fundamental properties of entanglement and can, in its extremal form, be expressed as follows: If two qubits A and B are maximally quantumly correlated they cannot be correlated at all with a third qubit C. In general, there is a trade-off between the amount of entanglement between qubits A and B and the same qubit A and qubit C.PHOTONIC CRYSTALS
Photonic crystals are periodic dielectric or metallo-dielectric (nano)structures that are designed to affect the propagation of electromagnetic waves (EM) in the same way as the periodic potential in a semiconductor crystal affects the electron motion by defining allowed and forbidden electronic energy bands. The absence of allowed propagating EM modes inside the structures, in a range ofEBLER.DAN@GMAIL.COM
Senior Researcher (Group Leader) at Huawei Theory Lab, Hong Kong, and Lecturer at The University of Hong Kong. I am building up my research group within Theory lab, and am hiring talented researchers (holding a PhD, or close to completion) in the fields of quantum optimization, quantum computation, quantum machine learning, quantum networks, quantum thermodynamics, quantum causality, and QUANTIKI | QUANTUM INFORMATION PORTAL AND WIKIEVENTSGROUPSPOSITIONSABOUTRFOLMAN123NEWS Welcome to Quantiki, the world's leading portal for everyone involved in quantum information science. No matter if you are a researcher, a student or an enthusiast of quantum theory, this is the place you are going to find useful and enjoyable! THE NO-CLONING THEOREM POSTDOC ON QUANTUM THERMODYNAMICS A postdoctoral research position to undertake theoretical research on “Quantum Thermodynamics” for 30 months from 01/05/2020 to 31/10/2022 is open for applications until 03/01/2020. PHD POSITION THEORY IN QUANTUM COMMUNICATION NETWORKS A PhD Position is available to work on long-distance quantum communication networks! Background. The vision of a Quantum Internet is to provide fundamentally new internet technology by enabling quantum communication between any two points on earth.POSTDOC | QUANTIKI
We invite applications for Postdoc and PhD positions in theoretical quantum optics, quantum information, and quantum many-body physics, in the new research group led by Hannes Pichler at the University of Innsbruck and the Institute for Quantum Optics and Quantum Information of Austrian Academy of Sciences (Innsbruck/Austria). NEGATIVITY | QUANTIKI Quantiki Quantum Information Portal and Wiki. Negativity . The negativityquant-ph/0102117 is an entanglement measure which is easy to compute.. The negativity can be defined as: $$\mathcal{N}(\rho) := \frac{||\rho^{\Gamma_A}||_1-1}{2}$$ ASSOCIATE EDITOR, PHYSICAL REVIEW A The editors of Physical Review A seek a dynamic and personable colleague for the position of Associate Editor. The primary responsibility is to manage the peer review process and decide, aided by expert input, which papers merit publication according to thejournal's criteria.
MONOGAMY OF ENTANGLEMENT '''Monogamy ''' is one of the most fundamental properties of entanglement and can, in its extremal form, be expressed as follows: If two qubits A and B are maximally quantumly correlated they cannot be correlated at all with a third qubit C. In general, there is a trade-off between the amount of entanglement between qubits A and B and the same qubit A and qubit C.PHOTONIC CRYSTALS
Photonic crystals are periodic dielectric or metallo-dielectric (nano)structures that are designed to affect the propagation of electromagnetic waves (EM) in the same way as the periodic potential in a semiconductor crystal affects the electron motion by defining allowed and forbidden electronic energy bands. The absence of allowed propagating EM modes inside the structures, in a range ofEBLER.DAN@GMAIL.COM
Senior Researcher (Group Leader) at Huawei Theory Lab, Hong Kong, and Lecturer at The University of Hong Kong. I am building up my research group within Theory lab, and am hiring talented researchers (holding a PhD, or close to completion) in the fields of quantum optimization, quantum computation, quantum machine learning, quantum networks, quantum thermodynamics, quantum causality, and POSITIONS | QUANTIKI Title Application deadline Job type ; PhD position on ultracold Lithium-Cesium mixtures: PhD: Nottingham Advance Research Fellowship 2010 - CALL FOR POSTDOCSGROUPS | QUANTIKI
Quantiki Quantum Information Portal and Wiki. GroupsPHD | QUANTIKI
We invite applications for Postdoc and PhD positions in theoretical quantum optics, quantum information, and quantum many-body physics, in the new research group led by Hannes Pichler at the University of Innsbruck and the Institute for Quantum Optics and Quantum Information of Austrian Academy of Sciences (Innsbruck/Austria). POSITIONS | QUANTIKI Quantiki Quantum Information Portal and Wiki. Positions . Job typeQUBIT | QUANTIKI
A quantum bit, or qubit (sometimes qbit) is a unit of quantum information.That information is described by a state in a 2-level quantum mechanical system which is formally equivalent to a two-dimentional vector space over the complex numbers.The two basis states (or vectors) are conventionally written as ∣0 and ∣1 (pronounced: 'ket 0' and 'ket 1') as this follows the usual bra-ketnotation
SPIN QUBITS
Semiconductor quantum dots are small devices in which charge carriers are confined in all three dimensions: this can be achieved by electrical gating and/or etching techniques applied e. g. to a two-dimensional electron gas.. In the quantum-dot scenario either the electron spin or the charge (orbital) degrees of freedom can be chosen as the qubit. Here we will describe the spin dot which has BELL STATE | QUANTIKI A Bell state is defined as a maximally entangled quantum state of two qubits. The qubits are usually thought to be spatially separated (held by Alice and Bob, respectively, to use quantum cryptography terms). Nevertheless they exhibit perfect correlations which cannot be explained without quantum mechanics. $|\Phi^+\rangle = \frac{1}{\sqrt{2}} (|0\rangle_A \otimes |0\rangle_B + |1\rangle_ATRACE DISTANCE
== Definition and Operational Meaning == The trace distance (also called the variational or Kolmogorov distance) δ : S(H) × S(H) → R is one of the most natural distance measures on S(H).It is intimately related to the problem of distinguishing two states in the following way: The value $\frac{1}{2}+\frac{1}{2}\delta(\rho,\sigma)$ is the average success probability when distinguishing (byMIXED STATES
Mixing quantum states is a basic operation, by which several different preparations are combined by switching between different preparing procedures with a classical random generator. QUANTUM RELATIVE ENTROPY The quantum relative entropy, in analogy with the classical relative entropy or Kullback-Leibler divergence, is a measure of closeness between two states.It was defined by Denis Petz as. D(ρ∣∣σ) = Trρ(logρ − logσ). where ρ and σ are two density matrices.. It has a number of applications including its use in proving strongsub-additivity.
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QUANTUM INFORMATION PORTAL AND WIKIWELCOME TO QUANTIKI
Welcome to Quantiki, the world's leading social portal for everyone involved in quantum information science. No matter if you are a researcher, a student or a fan of quantum theory, this is the place you are going to find useful and enjoyable! While here on Quantiki you can: browse our content, including fascinating and educative articles, then create your own account and log in to gain more editorial possibilities. Add new content, such as information about upcoming quantum events , open positions for quantum scientists and existing quantum research groups . We also encourage to follow us using social media sites.__ __
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POSTDOCTORAL FELLOW POSITION IN QUSYS GROUP (GROUP LEADER: GOOLD) (TRINITY COLLEGE DUBLIN): THERMODYNAMICS OF COMPLEX QUANTUM SYSTEMS Submitted by John_Goold on Sat, 06/06/2020 -11:50.
There is an opening for a postdoctoral fellow to work at the QuSys Group at Trinity College Dublin starting around October 2020 with some flexibility in the precise date. The QuSys group is a young, dynamic and international group lead by Prof. John Goold. The groups interests are diverse ranging from thermodynamics of quantum systems and quantum transport in non equilibrium steady states (NESS) to quantum information and many-body physics. The position is initially for 2 years and can be extended further. * Read more about Postdoctoral Fellow position in QuSys Group (Group Leader: Goold) (Trinity College Dublin): Thermodynamics of complexquantum systems
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POSTDOC IN QUANTUM PHOTONICS Submitted by gweihs on Wed, 03/06/2020 - 14:42. For our new project on single time-bin entangled photon pairs from semiconductor quantum dots in collaboration with the universities of Münster (Germany) and Linz (Austria) we are looking for a post-doc with experience in quantum optics, ideally with semiconductors and sources of nonclassical light. This experience should be documented by a strong publication record. * Read more about Postdoc in quantum photonics* Log in or
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QUANTUM ANNEALING FOR SAT SOLVING Submitted by rseba on Tue, 02/06/2020 - 16:31. PhD position in ICT available in Trento (Italy) on "Quantum Annealing for SAT Solving" under the supervision of prof. Roberto Sebastiani (DISI, University ofTrento)
in collaboration with D-Wave Systems Inc. (http://www.dwavesys.com) sponsored by Q@TN Project (https://www.quantumtrento.eu) !! Deadline: June 15 th , 2020 !! * Read more about Quantum Annealing for SAT Solving* Log in or
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PHD AND POSTDOC POSITION IN QUANTUM CORRELATIONS/BELL NONLOCALITY AT UNIVERSITY OF WARSAW (POLAND) Submitted by Jedrzej Kaniewski on Tue,02/06/2020 - 10:37.
We will soon announce 1 PHD AND 1 POSTDOC POSITION in the group of Jędrzej Kaniewski within a SONATA project "Fundamental aspects of the quantum set of correlations" funded by the National Science Centre, Poland. The potential research topics include: * Read more about PhD and postdoc position in quantum correlations/Bell nonlocality at University of Warsaw (Poland)* Log in or
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EARLY STAGE RESEARCHER (PHD CANDIDATE) POSITION AT THE UNIVERSITY OFLEIPZIG (GERMANY)
Submitted by deiglmayr on Tue, 02/06/2020 - 09:35. A fully funded PhD position is available in the Quantum Optics group at the University of Leipzig (Germany) KEYWORDS: Ultracold Rydberg atoms, High-resolution UV spectroscopy, Ion-pair states, Cold plasmas * Read more about Early Stage Researcher (PhD candidate) position at the University of Leipzig (Germany)* Log in or
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