Entanglement as a resource for local state discrimination in multipartite systems

Abstract

We explore the question of using an entangled state as a universal resource for implementing quantum measurements by local operations and classical communication (LOCC). We show that for most systems consisting of three or more subsystems, there is no entangled state from the same space that can enable all measurements by LOCC. This is in direct contrast to the bipartite case, where a maximally entangled state is an universal resource. Our results are obtained showing an equivalence between the problem of local state transformation and that of entanglement-assisted local unambiguous state discrimination.

8 pages. Bibliography has been re-ordered to match published version

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Cited by in corpus (33)

• Several nonlocal sets of multipartite pure orthogonal product states
• Genuinely Nonlocal Product Bases: Classification and Entanglement Assisted Discrimination
• Nonlocal sets of orthogonal product states in arbitrary multipartite quantum system
• Strong quantum nonlocality with entanglement
• Resource theory of contextuality for arbitrary prepare-and-measure experiments
• Optimal resource states for local state discrimination
• Strong quantum nonlocality for unextendible product bases in heterogeneous systems
• Distinguishability classes, resource sharing, and bound entanglement distribution
• Unextendible product bases from tile structures and their local entanglement-assisted distinguishability
• Local distinguishability based genuinely quantum nonlocality without entanglement
• Locally distinguish unextendible product bases by efficiently using entanglement resource
• Strong quantum nonlocality without entanglement in $n$-partite system with even $n$
• Locally distinguishing quantum states with limited classical communication
• Nonlocality of tripartite orthogonal product states
• Entangled subspaces and generic local state discrimination with pre-shared entanglement
• Nonlocality without entanglement: Party asymmetric case
• Alternative method for deriving nonlocal multipartite product states
• Distinguishing multipartite orthogonal product states by LOCC with entanglement as a resource
• Entanglement cost of discriminating noisy Bell states by local operations and classical communication
• The Entanglement Hierarchy 2 x m x n Systems
• Strong quantum nonlocality: Unextendible biseparability beyond unextendible product basis
• Strong quantum nonlocality from hypercubes
• More assistance of entanglement, less rounds of classical communication
• Exploring strong locality : Quantum state discrimination regime and beyond
• Local indistinguishability and incompleteness of entangled orthogonal bases: Method to generate two-element locally indistinguishable ensembles
• Locality of Orthogonal Product States via Multiplied Copies
• Classifying locally distinguishable sets: No activation across bipartitions
• Locally distinguishing a maximally entangled basis using shared entanglement
• Quantum Coherence and Distinguishability as Complementary Resources: A Resource-Theoretic Perspective from Wave-Particle Duality
• The Independence of Distinguishability and the Dimension of the System
• Genuinely entangled subspaces beyond strongly nonlocal unextendible biseparable bases
• Trade-off between Information Gain and Disturbance in Local Discrimination of Entangled Quantum States
• Novel methods to construct nonlocal sets of orthogonal product states in arbitrary bipartite high-dimensional system