Optimal conclusive discrimination of two states can be achieved locally

Abstract

This paper constructs a LOCC protocol that achieves the global optimality in conclusive discrimination of any two states with arbitrary a priori probability. This can be interpreted that there is no ``non-locality'' in the conclusive discrimination of two multipartite states.

arXiv comment9 pages, RevTeX, no figure. Comments, criticisms and suggestions are welcome

References in corpus (6)

• Quantum Nonlocality without Entanglement
• Local Distinguishability of Multipartite Orthogonal Quantum States
• Optimal local discrimination of two multipartite pure states
• Optimally Conclusive Discrimination of Non-orthogonal Entangled States Locally
• Minimum Decision Cost for Quantum Ensembles
• Optimal Conclusive Discrimination of Two Non-orthogonal Pure Product Multipartite States Locally

Cited by in corpus (34)

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• Bounds on Multipartite Entangled Orthogonal State Discrimination Using Local Operations and Classical Communication
• Distinguishing Arbitrary Multipartite Basis Unambiguously Using Local Operations and Classical Communication
• A framework for bounding nonlocality of state discrimination
• Distinguishability of Quantum States by Separable Operations
• Generic local distinguishability and completely entangled subspaces
• State discrimination with error margin and its locality
• Minimax quantum state discrimination
• When do Local Operations and Classical Communication Suffice for Two-Qubit State Discrimination?
• Local Distinguishability of Any Three Quantum States
• Entanglement Cost of Nonlocal Measurements
• Discrimination with error margin between two states - Case of general occurrence probabilities -
• Local distinguishability of orthogonal 2\otimes3 pure states
• Minimax discrimination of two Pauli channels
• Optimal sequential measurements for bi-partite state discrimination
• Minimum-error discrimination of entangled quantum states
• Locality and nonlocality in quantum pure-state identification problems
• Online optimal exact identification of a quantum change point
• Local unambiguous discrimination of symmetric ternary states
• Local hypothesis testing between a pure bipartite state and the white noise state
• Unextendible entangled bases and more nonlocality with less entanglement
• Incompatibility of local measurements provide advantage in local quantum state discrimination
• Discriminating bipartite mixed states by local operations
• Quantum nonlocality without entanglement depending on nonzero prior probabilities in optimal unambiguous discrimination
• Unambiguous discrimination of Fermionic states through local operations and classical communication
• Generalized bipartite quantum state discrimination problems with sequential measurements
• Local cloning of two product states
• Local indistinguishability and incompleteness of entangled orthogonal bases: Method to generate two-element locally indistinguishable ensembles
• Local Unambiguous Discrimination with Remaining Entanglement
• Optimal discrimination of quantum states on a two-dimensional Hilbert space by local operations and classical communication
• Multi-partite subspaces containing no locally inaccessible information
• Extended necessary condition for local operations and classical communication: Tight bound for all measurements
• Entanglement Structure Certification Based on Energy-Restricted State Discrimination
• Online identification of symmetric pure states