Thermodynamics and the Measure of Entanglement

Abstract

We point out formal correspondences between thermodynamics and entanglement. By applying them to previous work, we show that entropy of entanglement is the unique measure of entanglement for pure states.

8 pages, RevTeX; edited for clarity, additional references, to appear as a Rapid Communication in Phys. Rev. A

References in corpus (5)

• Mixed State Entanglement and Quantum Error Correction
• Concentrating Partial Entanglement by Local Operations
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Quantifying Entanglement
• Information-theoretic aspects of quantum inseparability of mixed states

Cited by in corpus (206)

• Quantum entanglement
• Quantifying Coherence
• Entanglement in a simple quantum phase transition
• On the volume of the set of mixed entangled states
• Quantum Resource Theories
• Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
• The Role of Relative Entropy in Quantum Information Theory
• Entanglement in continuous variable systems: Recent advances and current perspectives
• Entanglement monotones
• Robustness of entanglement
• A Thermodynamical Approach to Quantifying Quantum Correlations
• Perfect Teleportation and Superdense Coding With W-States
• "Squashed Entanglement" - An Additive Entanglement Measure
• Local versus non-local information in quantum information theory: formalism and phenomena
• Exact and Asymptotic Measures of Multipartite Pure State Entanglement
• Entanglement of pure states for a single copy
• Geometric Quantum Mechanics
• Quantum optics in the phase space - A tutorial on Gaussian states
• Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions
• Quantum non-locality in two three-level systems
• Thermalizing Quantum Machines: Dissipation and Entanglement
• Fundamentals of Quantum Information Theory
• Relating the Resource Theories of Entanglement and Quantum Coherence
• Thermal concurrence mixing in a 1D Ising model
• (Quantumness in the context of) Resource Theories
• On the volume of the set of mixed entangled states II
• Teleportation improvement by inconclusive photon subtraction
• Multi-Particle Entanglement Purification Protocols
• Reversible transformations from pure to mixed states, and the unique measure of information
• Local indistinguishability and LOCC monotones
• Local indistinguishability: more nonlocality with less entanglement
• I-concurrence and tangle for isotropic states
• The Uniqueness Theorem for Entanglement Measures
• Entanglement Theory and the Second Law of Thermodynamics
• Gaussian Entanglement of Formation
• Probabilistic Quantum Teleportation
• Quantum dynamics as a physical resource
• Information as a resource in distributed quantum systems
• Irreversibility for all bound entangled states
• The non-local content of quantum operations
• Non-local properties of multi-particle density matrices
• Entangling power of quantized chaotic systems
• Nonadditivity of Bipartite Distillable Entanglement follows from Conjecture on Bound Entangled Werner States
• A uniqueness theorem for entanglement measures
• Multiqubit symmetric states with high geometric entanglement
• Entangling power of the quantum baker's map
• Nonadditive conditional entropy and its significance for local realism
• Hierarchies of Geometric Entanglement
• Local symmetry properties of pure 3-qubit states
• Are the laws of entanglement theory thermodynamical?
• Irreversibility in asymptotic manipulations of entanglement
• Mode-Wise Entanglement of Gaussian States
• Global characteristics of all eigenstates of local many-body Hamiltonians: participation ratio and entanglement entropy
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• Ordering two-qubit states with concurrence and negativity
• Probabilistic Super Dense Coding
• Continuity bounds for entanglement
• The classical communication cost of entanglement manipulation: Is entanglement an inter-convertible resource?
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• A reversible theory of entanglement and its relation to the second law
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• Ordering States with Entanglement Measures
• Entanglement and Open Systems in Algebraic Quantum Field Theory
• Quantum entanglement inferred by the principle of maximum Tsallis entropy
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• An entanglement monotone derived from Grover's algorithm
• Optimal quantum networks and one-shot entropies
• Entanglement universality of two-qubit X-states
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• The controlled SWAP test for determining quantum entanglement
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• The Feynman problem and Fermionic entanglement: Fermionic theory versus qubit theory
• No second law of entanglement manipulation after all
• Concurrence in arbitrary dimensions
• Distribution of bipartite entanglement for random pure states
• Entanglement and thermodynamics in general probabilistic theories
• Synchronization along quantum trajectories
• Characterization of pure quantum states of multiple qubits using the Groverian entanglement measure
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• Distillable entanglement and area laws in spin and harmonic-oscillator systems
• Correlation paradox of the dissociation limit: A quantum information perspective
• Entanglement of Assistance is not a bipartite measure nor a tripartite monotone
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• An Introduction to Quantum Entanglement: a Geometric Approach
• Fermionic computation is non-local tomographic and violates monogamy of entanglement
• Generalized squeezing rotating-wave approximation to the isotropic and anisotropic Rabi model in the ultrastrong-coupling regime
• Entanglement entropy of multipartite pure states
• Recovery of entanglement lost in entanglement manipulation
• Quantum state engineering assisted by entanglement
• Quantifying ground state entanglement of the BCS model
• Multipartite pure-state entanglement and the generalized GHZ states
• Error exponents for entanglement concentration
• Analytic Expressions for Geometric Measure of Three Qubit States
• Thermodynamic Signatures of Genuinely Multipartite Entanglement
• The Bell Inequality and Entanglement
• The first law of general quantum resource theories
• The Groverian Measure of Entanglement for Mixed States
• Universal entanglement concentration
• A new parameterized entanglement monotone
• Optimal manipulations with qubits: Universal quantum entanglers
• Entanglement of Pure Two-Mode Gaussian States
• Hyperentangled States
• Quantum Entanglement and Entropy
• Quantum expanders and the quantum entropy difference problem
• Entanglement, Information and Multiparticle Quantum Operations
• Foundations of quantum theory and quantum information applications
• The dynamic behaviors of local quantum uncertainty for three-qubit X states under decoherence channels
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• Universal evolution of non-classical correlations due to collective spontaneous emission
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• Towards an equivalence between maximal entanglement and maximal quantum nonlocality
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• Maximally entangled mixed states for qubit-qutrit systems
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• Unitarity as preservation of entropy and entanglement in quantum systems
• Foundations of Quantum Information for Physical Chemistry
• A nonextensive critical phenomenon scenario for quantum entanglement
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• Entanglement distance for arbitrary $M$-qudit hybrid systems
• Reversibility of quantum resources through probabilistic protocols
• Existence of Universal Entangler
• Equation of state for Entanglement in a Fermi gas
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• Simplified and obvious expression of concurrence in Wootters' measure of entanglement of a pair of qubits
• Entanglement Distillation; A Discourse on Bound Entanglement in Quantum Information Theory
• Quantum cobwebs: Universal entangling of quantum states
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• A solution of the generalised quantum Stein's lemma
• Parameterized Bipartite Entanglement Measure
• Information Geometry of Quantum Entangled Gaussian Wave-Packets
• Quantum Entanglement and the Maximum Entropy States from the Jaynes Principle
• Entanglement in Non-Hermitian Quantum Theory
• Entropy of entanglement and multifractal exponents for random states
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• Intrinsic upper bound on two-qubit polarization entanglement predetermined by pump polarization correlations in parametric down-conversion
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• Frontier between separability and quantum entanglement in a many spin system
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• Correlations and projective measurements in maximally entangled multipartite states
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• No-go theorem for entanglement distillation using catalysis
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• Entropy exchange, coherent information and concurrence
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• Complementarity and Entanglement in Quantum Information Theory
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• Active control of qubit-qubit entanglement evolution
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• State convertibility in the von Neumann algebra framework
• Entanglement enhancement and postselection for two atoms interacting with thermal light
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• Minimum Entangling Power is Close to Its Maximum
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• The Bound of Entanglement of Superpositions with More Than Two Components
• Photonic Implementation of Quantum Gravity Simulator
• Optimal measurements for nonlocal correlations
• Thermodynamical analogues in quantum information theory
• Controlling gain with loss: Bounds on localizable entanglement in multi-qubit systems
• Measurement entropy in Generalized Non-Signalling Theory cannot detect bipartite non-locality
• A measure of quantum correlations that lies approximately between entanglement and discord
• Entanglement Measures with Asymptotic Weak-Monotonicity as Lower (Upper) Bound for the Entanglement of Cost (Distillation)
• A Post-Quantum Associative Memory
• Quantum-classical entropy analysis for nonlinearly-coupled continuous-variable bipartite systems
• Ponderomotive entanglement purification
• What is \textit{Quantum} in Probabilistic Explanations of the Sure Thing Principle Violation?
• Derivation of the robustness from the concurrence
• Entanglement entropy of dispersive media from thermodynamic entropy in one higher dimension
• Quantum Entanglement Dynamics of Spacetime and Matter
• Relation between three-qubit entanglement invariants and two-qubit concurrence
• Dynamics of Correlations and Entanglement Generation in Electron-Molecule Inelastic Scattering
• Fiat-Shamir for Proofs Lacks a Proof Even in the Presence of Shared Entanglement
• Quantum properties of a superposition of squeezed displaced two-mode vacuum and single-photon states
• Bipartite and tripartite entanglement in a Bose-Einstein acoustic black hole
• Entanglement, loss, and quantumness: When balanced beam splitters are best
• Universal Entanglement and an Information-Complete Quantum Theory
• Irrversibility of Entanglement Manipulations: Vagueness of the Entanglement of Cost and Entanglement of Distillation
• Irreversibility in the Halting Problem of Quantum Computer
• Are right angles special? The optimal primitive reference frame
• Revisiting thermodynamics in computation and information theory
• Global quantum discord and von Neumann entropy in multipartite two-level atomic systems
• Entanglement of a Double Dot with a Quantum Point Contact
• Entanglement discontinuity
• Additivity of disjoint interval entanglement in quasiparticle excited states
• Analogs of absolutely maximally entangled states in nonlocal correlations via the sheaf-theoretic framework and its applications
• Entanglement Protection of Classically Driven Qubits in a Lossy Cavity
• Computable Measure of Total Quantum Correlation of Multipartite Systems
• Entanglement and localization of wavefunctions
• Generation and Manipulation of Entanglement in Quantum Optical Systems
• Teleportation improvement by non-deterministic noiseless linear amplification
• Convex Hulls of Varieties and Entanglement Measures Based on the Roof Construction
• Entanglement - A Queer In The World Of Quantum : Some Perspectives
• Analysis of the Entanglement Cost and Calculation of the Holevo Capacity