Embezzling Entangled Quantum States

Abstract

We show that in the presence of arbitrary catalysts, any pure bipartite entangled state can be converted into any other to unlimited accuracy without the use of any communication, quantum or classical.

5 pages, LaTeX2e, requires epic and eepic package, In print as "Universal entanglement transformations without communication"

References in corpus (6)

• Mixed State Entanglement and Quantum Error Correction
• Conditions for a class of entanglement transformations
• Entanglement of pure states for a single copy
• Entanglement-assisted local manipulation of pure quantum states
• Approximate transformations and robust manipulation of bipartite pure state entanglement
• A Method of Areas for Manipulating the Entanglement Properties of One Copy of a Two-Particle Pure State

Cited by in corpus (102)

• Bell nonlocality
• Quantum Coherence as a Resource
• Quantum Resource Theories
• The second laws of quantum thermodynamics
• Catalytic Coherence
• The resource theory of informational nonequilibrium in thermodynamics
• Self-testing of quantum systems: a review
• Quantum Reverse Shannon Theorem
• A Resource Framework for Quantum Shannon Theory
• Bell nonlocality in networks
• The Quantum Reverse Shannon Theorem based on One-Shot Information Theory
• Correlating thermal machines and the second law at the nanoscale
• Quantum message compression with applications
• Quantifying Bell: the Resource Theory of Nonclassicality of Common-Cause Boxes
• On the communication cost of entanglement transformations
• Catalytic quantum teleportation and beyond
• Applications of coherent classical communication and the Schur transform to quantum information theory
• Limits to catalysis in quantum thermodynamics
• Upper bounds on entangling rates of bipartite Hamiltonians
• Quantum thermodynamics of correlated-catalytic state conversion at small-scale
• More non-locality with less entanglement
• Coherence and asymmetry cannot be broadcast
• Catalysis in Charging Quantum Batteries
• Catalysis of entanglement and other quantum resources
• Survey on Nonlocal Games and Operator Space Theory
• Correlation in Catalysts Enables Arbitrary Manipulation of Quantum Coherence
• Catalytic Decoupling of Quantum Information
• Entropy and reversible catalysis
• Quantum complexity in gravity, quantum field theory, and quantum information science
• Quantum Proofs
• One-shot lossy quantum data compression
• A generalization of majorization that characterizes Shannon entropy
• Coherent state exchange in multi-prover quantum interactive proof systems
• Unitary Correlation Sets
• Fundamental Limits on Correlated Catalytic State Transformations
• The first law of general quantum resource theories
• Smooth Entropy Bounds on One-Shot Quantum State Redistribution
• All states are universal catalysts in quantum thermodynamics
• Renyi-entropic bounds on quantum communication
• A one-shot achievability result for quantum state redistribution
• Perfect Embezzlement of Entanglement
• Fundamental limits on anomalous energy flows in correlated quantum systems
• One-shot Coherence Distillation with Catalysts
• A two-player dimension witness based on embezzlement, and an elementary proof of the non-closure of the set of quantum correlations
• Characteristics of Universal Embezzling Families
• Quantum Side Information: Uncertainty Relations, Extractors, Channel Simulations
• Arbitrary Amplification of Quantum Coherence in Asymptotic and Catalytic Transformation
• Autonomous Quantum Devices: When Are They Realizable without Additional Thermodynamic Costs?
• Quantum Information Complexity and Amortized Communication
• Entanglement Distillation; A Discourse on Bound Entanglement in Quantum Information Theory
• Violation of Bell inequalities in larger Hilbert spaces: robustness and challenges
• Covariance Decomposition as a Universal Limit on Correlations in Networks
• Multiparty quantum protocols for assisted entanglement distillation
• Efficient methods for one-shot quantum communication
• Catalytic advantage in Otto-like two-stroke quantum engines
• Covariant catalysis requires correlations and good quantum reference frames degrade little
• Entanglement catalysis for quantum states and noisy channels
• A generalization of Strassen's Positivstellensatz
• An impossibility theorem for Parameter Independent hidden variable theories
• Local Transformations of Multiple Multipartite States
• Bounds On Entanglement Catalysts
• Complete Characterization of Entanglement Embezzlement
• Catalytic Gaussian thermal operations
• Entanglement fluctuation theorems
• One-shot quantum state redistribution and quantum Markov chains
• Quantum catalysis in cavity quantum electrodynamics
• Relativistic Quantum Fields Are Universal Entanglement Embezzlers
• Catalytic transformations for thermal operations
• The Schmidt rank for the commuting operator framework
• Second Law of Entanglement Manipulation with Entanglement Battery
• A parallel repetition theorem for entangled projection games
• Teleportation with Embezzling Catalysts
• Quantum Causal Structure and Quantum Thermodynamics
• Separation of quantum, spatial quantum, and approximate quantum correlations
• Entropy in Quantum Information Theory -- Communication and Cryptography
• On the Colbeck-Renner Theorem
• Smooth entropy in axiomatic thermodynamics
• One-shot Multiparty State Merging
• Revisiting Pure State Transformations with Zero Communication
• Embezzlement States are Universal for Non-Local Strategies
• Elementary Proofs of Grothendieck Theorems for Completely Bounded Norms
• Necessary conditions on effective quantum entanglement catalysts
• Time reversal and exchange symmetries of unitary gate capacities
• Autonomous quantum machines and the finite sized Quasi-Ideal clock
• Communication with Quantum Catalysts
• Completely real? A critical note on the claims by Colbeck and Renner
• Multipartite Embezzlement of Entanglement
• Pure state entanglement and von Neumann algebras
• On the completeness of quantum mechanics and the interpretation of the state vector
• Optimal Local Transformations of Flip and Exchange Symmetric Entangled States
• A three-player coherent state embezzlement game
• Universal quantum computation in a hidden basis
• Constant gap between conventional strategies and those based on C*-dynamics for self-embezzlement
• Quantum Teleportation and Super-dense Coding in Operator Algebras
• Censorship of quantum resources against catalytic account sharing
• Catalytic Activation of Bell Nonlocality
• One-Shot Distributed Source Simulation: As Quantum as it Can Get
• Critical Fermions are Universal Embezzlers
• Approximate and ensemble local entanglement transformations for multipartite states
• Uniqueness of purifications is equivalent to Haag duality
• Finite-size catalysis in quantum resource theories
• Advantage of flexible catalysis for entanglement and quantum thermodynamics