The asymptotic entanglement cost of preparing a quantum state
arXiv:quant-ph/0008134 · doi:10.1088/0305-4470/34/35/314
Abstract
We give a detailed proof of the conjecture that the asymptotic entanglement cost of preparing a bipartite state ρis equal to the regularized entanglement of formation of ρ.
7 pages, no figures
References in corpus (15)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- 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
- Exact and Asymptotic Measures of Multipartite Pure State Entanglement
- Information transmission through a noisy quantum channel
- Limits for entanglement measures
- The Entanglement of Formation for Isotropic States
- A rigorous treatment of distillable entanglement
- Minimal conditions for local pure-state entanglement manipulation
- Optimal Cloning of Pure States, Judging Single Clones
- Continuity bounds for entanglement
- Unified approach to quantum capacities: towards quantum noisy coding theorem
- Entanglement and thermodynamical analogies
Cited by in corpus (203)
- Quantum entanglement
- Quantum Coherence as a Resource
- The logarithmic negativity: A full entanglement monotone that is not convex
- Quantum Resource Theories
- The Role of Relative Entropy in Quantum Information Theory
- Operational Resource Theory of Coherence
- Monogamy of entanglement and other correlations
- "Squashed Entanglement" - An Additive Entanglement Measure
- Intrinsic randomness as a measure of quantum coherence
- Aspects of generic entanglement
- Entanglement Certification From Theory to Experiment
- Holographic Entanglement of Purification
- Fundamentals of Quantum Information Theory
- Open-System Dynamics of Entanglement
- Computing quantum discord is NP-complete
- Tight uniform continuity bounds for quantum entropies: conditional entropy, relative entropy distance and energy constraints
- The entanglement of purification
- Assisted distillation of quantum coherence
- Gaussian measures of entanglement versus negativities: the ordering of two-mode Gaussian states
- Entanglement evaluation of non-Gaussian states generated by photon subtraction from squeezed states
- Quantum discord and its allies: a review
- Multipartite entanglement in three-mode Gaussian states of continuous variable systems: Quantification, sharing structure and decoherence
- I-concurrence and tangle for isotropic states
- The Uniqueness Theorem for Entanglement Measures
- Quantifying entanglement resources
- Faithful Squashed Entanglement
- Entanglement of two-mode Gaussian states: characterization and experimental production and manipulation
- Genuine quantum correlations in quantum many-body systems: a review of recent progress
- Entanglement of assistance and multipartite state distillation
- Irreversibility for all bound entangled states
- Nonadditivity of Bipartite Distillable Entanglement follows from Conjecture on Bound Entangled Werner States
- A uniqueness theorem for entanglement measures
- Monogamy of quantum correlations - a review
- On the capacities of bipartite Hamiltonians and unitary gates
- The Structure of Bipartite Quantum States - Insights from Group Theory and Cryptography
- Operational Resource Theory of Quantum Channels
- Distilling common randomness from bipartite quantum states
- Multiboundary Wormholes and Holographic Entanglement
- When are correlations quantum? -- Verification and quantification of entanglement by simple measurements
- Counterexamples to the maximal p-norm multiplicativity conjecture for all p > 1
- Are the laws of entanglement theory thermodynamical?
- Entanglement irreversibility from quantum discord and quantum deficit
- Quantum entanglement theory in the presence of superselection rules
- Nonlocal resources in the presence of Superselection Rules
- One-Shot Operational Quantum Resource Theory
- Measure of multipartite entanglement with computable lower bounds
- Uncertainty, Monogamy, and Locking of Quantum Correlations
- Continuity bounds on the quantum relative entropy
- One-Shot Coherence Dilution
- Broadcast copies reveal the quantumness of correlations
- Quantifying entanglement in two-mode Gaussian states
- An additive and operational entanglement measure: conditional entanglement of mutual information
- Entanglement Cost of Quantum Channels
- Simplifying additivity problems using direct sum constructions
- The entanglement of distillation for gauge theories
- Remarks on additivity of the Holevo channel capacity and of the entanglement of formation
- Continuity bounds on the quantum relative entropy - II
- Cost of quantum entanglement simplified
- On Hastings' counterexamples to the minimum output entropy additivity conjecture
- Semidefinite programming relaxations for quantum correlations
- On asymptotic continuity of functions of quantum states
- Entanglement cost in practical scenarios
- Quantum correlations and secret bits
- On quantum advantage in dense coding
- The Feynman problem and Fermionic entanglement: Fermionic theory versus qubit theory
- Concurrence in arbitrary dimensions
- Entanglement cost and quantum channel simulation
- Additivity and non-additivity of multipartite entanglement measures
- Quantum and Classical Correlations Inside the Entanglement Wedge
- Multipartite Bound Information exists and can be activated
- Connecting the generalized robustness and the geometric measure of entanglement
- Entanglement Cost of Antisymmetric States and Additivity of Capacity of Some Quantum Channel
- General polygamy inequality of multi-party quantum entanglement
- Generalized Geometric Measure of Entanglement for Multiparty Mixed States
- An Introduction to Quantum Entanglement: a Geometric Approach
- Remarks on entanglement measures and non-local state distinguishability
- Bipartite concurrence and localized coherence
- Bounds for Entanglement via an Extension of Strong Subadditivity of Entropy
- Quantum rate distortion coding with auxiliary resources
- Strong superadditivity of the entanglement of formation follows from its additivity
- Quantifying the coherence of pure quantum states
- Irreversibility of Asymptotic Entanglement Manipulation Under Quantum Operations Completely Preserving Positivity of Partial Transpose
- Do Large Number of Parties Enforce Monogamy in All Quantum Correlations?
- Distributed Compression and Multiparty Squashed Entanglement
- Nonadditivity of Rains' bound for distillable entanglement
- Rates of asymptotic entanglement transformations for bipartite mixed states: Maximally entangled states are not special
- Completing the Grand Tour of asymptotic quantum coherence manipulation
- General Quantum Resource Theories: Distillation, Formation and Consistent Resource Measures
- Optimal distillation of quantum coherence with reduced waste of resources
- Multipartite Dense Coding vs. Quantum Correlation: Noise Inverts Relative Capability of Information Transfer
- Traversable Wormholes as Quantum Channels: Exploring CFT Entanglement Structure and Channel Capacity in Holography
- Hilbert-Schmidt distance and entanglement witnessing
- -Logarithmic negativity
- Flag Additivity in Quantum Resource Theories
- Entanglement Cost of Three-Level Antisymmetric States
- Assisted work distillation
- Coherence, entanglement and quantumness in closed and open systems with conserved charge, with an application to many-body localisation
- Quantum correlation entropy
- Entanglement Theory and the Quantum Simulation of Many-Body Physics
- General theory of environment-assisted entanglement distillation
- Local cloning of Bell states and distillable entanglement
- Quantum states representing perfectly secure bits are always distillable
- Practical measurement-device-independent entanglement quantification
- Subtraction better than addition: Entanglement in multimode squeezed vacuum post-interface with photons
- Dual entanglement measures based on no local cloning and no local deleting
- One-shot Coherence Distillation with Catalysts
- Bound entanglement in thermalized states and black hole radiation
- Highly Entangled States With Almost No Secrecy
- On the irreversibility of entanglement distillation
- Private states, quantum data hiding and the swapping of perfect secrecy
- Data processing for the sandwiched Rényi divergence: a condition for equality
- Reversibility of quantum resources through probabilistic protocols
- Conditions for monogamy of quantum correlations in multipartite systems
- Symmetry enforced entanglement in maximally mixed states
- Rates of multi-partite entanglement transformations and applications in quantum networks
- The variance of relative surprisal as single-shot quantifier
- Quantification of Entanglement and Coherence with Purity Detection
- Quantum Side Information: Uncertainty Relations, Extractors, Channel Simulations
- Mixed-state entanglement and information recovery in thermalized states and evaporating black holes
- Progress towards a unified approach to entanglement distribution
- Deterministic nonlinear gates with oscillators mediated by a qubit
- Entanglement Distillation; A Discourse on Bound Entanglement in Quantum Information Theory
- A solution of the generalised quantum Stein's lemma
- The operational significance of the quantum resource theory of Buscemi nonlocality
- Distillable entanglement under dually non-entangling operations
- Selective entanglement breaking
- Concentrating tripartite quantum information
- Graph-associated entanglement cost of a multipartite state in exact and finite-block-length approximate constructions
- Continuity of characteristics of composite quantum systems
- Constrained bounds on measures of entanglement
- Resource conversion between operational coherence and multipartite entanglement in many-body systems
- Quantum Energy Teleportation versus Information Teleportation
- Strict entanglement monotonicity under local operations and classical communication
- Schmidt balls around the identity
- Remarks on the equivalence of full additivity and monotonicity for the entanglement cost
- Are there phase transitions in information space?
- Exact entanglement cost of quantum states and channels under PPT-preserving operations
- A Classical Analog to Entanglement Reversibility
- Coherence and entanglement in Grover and Harrow-Hassidim-Lloyd algorithm
- Quantifying Entanglement with Coherence
- The Private and Public Correlation Cost of Three Random Variables with Collaboration
- Information complementarity in multipartite quantum states and security in cryptography
- Lower and upper bounds for entanglement of Rényi- entropy
- Additivity of entanglement of formation via entanglement-breaking space
- Bounds on localisable information via semidefinite programming
- Response in violation of Bell inequality to imperfect photon addition and subtraction in noisy squeezed states of light
- Entanglement classification and \emph{non-k}-separability certification via Greenberger-Horne-Zeilinger-class fidelity
- Continuity of entropies via integral representations
- Optimized Correlation Measures in Holography
- An Extention of Entanglement Measures for Pure States
- Superactivation, unlockability, and secrecy distribution of bound information
- Canonical Distillation of Entanglement
- Entanglement distribution and quantum discord
- The modified trace distance of coherence is constant on most pure states
- Quantifying the unextendibility of entanglement
- Accessibility of physical states and non-uniqueness of entanglement measure
- Relation between the Greenberger-Horne-Zeilinger--entanglement cost of preparing a multipartite pure state and its quantum discord
- Lower Bound for entanglement cost of antisymmetric states
- Entanglement properties of a measurement-based entanglement distillation experiment
- Computable lower bounds on the entanglement cost of quantum channels
- A measure of quantum correlations that lies approximately between entanglement and discord
- Entanglement cost for infinite-dimensional physical systems
- The Zero-error Entanglement Cost is Highly Non-Additive
- Distributed Encoding and Decoding of Quantum Information over Networks
- Entanglement Measures with Asymptotic Weak-Monotonicity as Lower (Upper) Bound for the Entanglement of Cost (Distillation)
- Bipartite Bound Entanglement
- Entanglement of Formation of an Arbitrary State of Two Rebits
- Asymptotic quantification of entanglement with a single copy
- Computable entanglement cost under positive partial transpose operations
- Two-mode light states before and after delocalized single-photon addition
- Tripartite genuinely entangled states from entanglement-breaking subspaces
- On discontinuity of information characteristics of quantum systems and channels
- Exact Entanglement Cost of Multi-Qubit Bound Entangled States
- Correlation between resource-generating capacities of quantum gates
- Correlation measures in bipartite states and entanglement irreversibility
- Distributed Compression and Squashed Entanglement
- Quantifying entanglement in terms of an operational way
- Classifying Entanglement by Algebraic Geometry
- Quantum Entanglement and Geometry
- Second Law of Entanglement Dynamics for the Non-Asymptotic Regime
- Improving Continuous-variable Quantum Channels with Unitary Averaging
- Single-shot entanglement manipulation of states and channels revisited
- Does connected wedge imply distillable entanglement?
- On the Physical Explanation for Quantum Computational Speedup
- Convex-roof entanglement measures of density matrices block diagonal in disjoint subspaces for the study of thermal states
- Markov Gap and Bound Entanglement in Haar Random State
- Entanglement cost hierarchies in quantum fragmented mixed states
- Irrversibility of Entanglement Manipulations: Vagueness of the Entanglement of Cost and Entanglement of Distillation
- Entanglement Cost for Steering Assemblages
- Asymptotic entanglement manipulation of bipartite pure states
- Operational Interpretation of Quantum Fisher Information in Quantum Thermodynamics
- Generation and Manipulation of Entanglement in Quantum Optical Systems
- Quantum Resource Theories of Anyonic Entanglement
- Some aspects of the interplay between bipartite correlations and quantum channels
- Generalized Entanglement of Purification Criteria for 2-Producible States in Multipartite Systems
- A contour for the entanglement negativity of bosonic Gaussian states
- Quantum Versus Classical Advantages in Secret Key Distillation (and Their Links to Quantum Entanglement)
- On the strong superadditivity of entanglement of formation -- Conditions and examples
- Analysis of the Entanglement Cost and Calculation of the Holevo Capacity
- Finite-size catalysis in quantum resource theories
- Thermodynamics of bipartite entanglement
- The Local Orthogonality between Quantum States and Entanglement Decomposition
- Quantum geometric tensor determines the pure-state i.i.d. conversion rate in the resource theory of asymmetry for any compact Lie group