Optimal resource states for local state discrimination

Abstract

We study the problem of locally distinguishing pure quantum states using shared entanglement as a resource. For a given set of locally indistinguishable states, we define a resource state to be useful if it can enhance local distinguishability and optimal if it can distinguish the states as well as global measurements and is also minimal with respect to a partial ordering defined by entanglement and dimension. We present examples of useful resources and show that an entangled state need not be useful for distinguishing a given set of states. We obtain optimal resources with explicit local protocols to distinguish multipartite GHZ and Graph states; and also show that a maximally entangled state is an optimal resource under one-way LOCC to distinguish any bipartite orthonormal basis which contains at least one entangled state of full Schmidt rank.

24 pages; minor changes, typos corrected; published version

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Cited by in corpus (23)

• 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
• The connection between holographic entanglement and complexity of purification
• Distinguishability classes, resource sharing, and bound entanglement distribution
• 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
• Orthogonal product sets with strong quantum nonlocality on plane structure
• Nonlocality of tripartite orthogonal product states
• Nonlocality without entanglement: Party asymmetric case
• Entanglement cost of discriminating noisy Bell states by local operations and classical communication
• Strong quantum nonlocality: Unextendible biseparability beyond unextendible product basis
• More assistance of entanglement, less rounds of classical communication
• Exploring strong locality : Quantum state discrimination regime and beyond
• Information locking and its resource efficient extraction
• The Independence of Distinguishability and the Dimension of the System
• Locally distinguishing a maximally entangled basis using shared entanglement
• Attainability of quantum state discrimination bounds with collective measurements on finite copies
• Classifying locally distinguishable sets: No activation across bipartitions
• Genuinely entangled subspaces beyond strongly nonlocal unextendible biseparable bases
• Novel methods to construct nonlocal sets of orthogonal product states in arbitrary bipartite high-dimensional system