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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 (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 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 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. Skip to main contentQUANTIKI
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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NEW TENURE-TRACK POSITION IN QUANTUM ALGORITHMS AND APPLICATIONS OF QUANTUM COMPUTERS AT CWI/QUSOFT Submitted by Rdewolf on Fri, 09/08/2019 - 13:09. New tenure-track position in quantum algorithms and applications of quantum computers at CWI/QuSoft in Amsterdam: https://www.cwi.nl/jobs/vacancies/tenure-track-position-in-the-area-of-q... APPLICATION DEADLINE: Sunday, September 15, 2019 * Read more about New tenure-track position in quantum algorithms and applications of quantum computers at CWI/QuSoft* Log in or
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POSTDOC POSITION AT THE CENTRE FOR QUANTUM OPTICAL TECHNOLOGIES INWARSAW, POLAND
Submitted by Streltsov on Fri, 09/08/2019 - 11:50. Postdoc position in theoretical quantum information science is available at the Centre for Quantum Optical Technologies (QOT) at the University of Warsaw. Successful candidate will work in a team of theoretical physicists on one of the following topics: - Quantum resource theories - Quantum communication and quantum computation - Open quantum systems APPLICATION DEADLINE: Monday, September 30, 2019 * Read more about Postdoc Position at the Centre for Quantum Optical Technologies in Warsaw, Poland* Log in or
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POSTDOC IN QUANTUM CRYPTOGRAPHY AT QUSOFT Submitted by CSchaffner on Wed, 07/08/2019 -16:29.
The Institute for Logic, Language and Computation (ILLC) of the University of Amsterdam has a vacancy at QuSoft for a talented postdoc on the subject of quantum cryptography. For more information, visit https://www.uva.nl/en/content/vacancies/2019/08/19-516-postdoctoral-rese... APPLICATION DEADLINE: Sunday, September 15, 2019 * Read more about PostDoc in Quantum Cryptography at QuSoft* Log in or
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POST DOC AT UCLA IN QUANTUM MACHINE LEARNING Submitted by bouchard on Mon, 05/08/2019 - 03:34. Post Doctoral position, Quantum Machine Learning (QML): A post doc position is available to develop novel hybrid quantum - deep learning algorithms for next-generation quantum computing. The hybrid algorithms, which combine the strengths of AI and quantum algorithms, will be used to solve problems of quantum control and of mathematical physics. Emphasis will be placed on the explainability of the designed AI (XAI) without loss of performance. Qualifications: Ph.D. APPLICATION DEADLINE: Wednesday, September 4, 2019 * Read more about Post Doc at UCLA in Quantum Machine Learning* 1 comment
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INTERNATIONAL WORKSHOP ON QUANTUM SENSING & BIOPHOTONICS 2019DATES:
Sunday, September 29, 2019 SUBMISSION DEADLINE: Wednesday, September 11, 2019 REGISTRATION DEADLINE: Wednesday, September 25, 2019 Venue: Tanaka Memorial Hall Contact: iwqsb2019@gmail.com Web info (in Japanese)Registration
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Submitted by Shikano on Sun, 04/08/2019 - 07:36. * Read more about International Workshop on Quantum Sensing &Biophotonics 2019
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