Distinguishing a set of full product bases needs only projective measurements and classical communication

Abstract

Nonlocality without entanglement is an interesting field. A manifestation of quantum nonlocality without entanglement is the local indistinguishability of a set of orthogonal product states. In this paper we analyze the character of operators to distinguish a set of full product bases in a multi-partite system, and show that distinguishing perfectly a set of full product bases needs only local projective measurements and classical communication, and these measurements cannot damage each product basis. Employing these conclusions one can discuss local distinguishability of full product bases easily. Finally we discuss the generalization of these results to the locally distinguishability of a set of incomplete product bases.

References in corpus (5)

• Nonlocality, Asymmetry, and Distinguishing Bipartite States
• Distinguishability of the Bell states
• Optimal local discrimination of two multipartite pure states
• Optimal Conclusive Discrimination of Two Non-orthogonal Pure Product Multipartite States Locally
• Orthogonality And Distinguishability: Criterion For Local Distinguishability of Arbitrary Orthogonal States

Cited by in corpus (22)

• Distinguishing Arbitrary Multipartite Basis Unambiguously Using Local Operations and Classical Communication
• Nonlocality of orthogonal product basis quantum states
• A framework for bounding nonlocality of state discrimination
• Local indistinguishability of orthogonal product states
• Nonlocal sets of orthogonal product states in arbitrary multipartite quantum system
• Constructing locally indistinguishable orthogonal product bases in an $m\otimes n$ system
• Asymptotically perfect discrimination in the LOCC paradigm
• Local distinguishability of orthogonal 2\otimes3 pure states
• Difficulty of distinguishing product states locally
• Nonlocality without entanglement in general multipartite quantum systems
• Locally distinguish unextendible product bases by efficiently using entanglement resource
• Non-commutativity and Local Indistinguishability of Quantum States
• Holism, Physical Theories and Quantum Mechanics
• Strongest nonlocal sets with minimum cardinality in tripartite systems
• Local distinguishability of quantum states in multipartite System
• Locality of Orthogonal Product States via Multiplied Copies
• The construction of sets with strong quantum nonlocality using fewer states
• The Independence of Distinguishability and the Dimension of the System
• Strong quantum nonlocality for multipartite entangled states
• Nonlocal sets of orthogonal multipartite product states with less members
• Application of Ramsey theory to localization of set of product states via multicopies
• Novel methods to construct nonlocal sets of orthogonal product states in arbitrary bipartite high-dimensional system