Quantum nonlocality without entanglement and state discrimination measures

Fuente: arXiv
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Autores principales: Murshid, Shayeef, Gupta, Tathagata, Russo, Vincent, Bandyopadhyay, Somshubhro
Formato: Preprint
Publicado: 2025
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author Murshid, Shayeef
Gupta, Tathagata
Russo, Vincent
Bandyopadhyay, Somshubhro
author_facet Murshid, Shayeef
Gupta, Tathagata
Russo, Vincent
Bandyopadhyay, Somshubhro
contents An ensemble of product states is said to exhibit "quantum nonlocality without entanglement" if the states cannot be optimally discriminated by local operations and classical communication (LOCC). We show that this property can depend on the measure of state discrimination. We present a family of ensembles, each consisting of six linearly independent, equally probable product states for which LOCC fails to achieve optimal minimum-error discrimination but succeeds in achieving optimal unambiguous discrimination.
format Preprint
id arxiv_https___arxiv_org_abs_2506_20560
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum nonlocality without entanglement and state discrimination measures
Murshid, Shayeef
Gupta, Tathagata
Russo, Vincent
Bandyopadhyay, Somshubhro
Quantum Physics
An ensemble of product states is said to exhibit "quantum nonlocality without entanglement" if the states cannot be optimally discriminated by local operations and classical communication (LOCC). We show that this property can depend on the measure of state discrimination. We present a family of ensembles, each consisting of six linearly independent, equally probable product states for which LOCC fails to achieve optimal minimum-error discrimination but succeeds in achieving optimal unambiguous discrimination.
title Quantum nonlocality without entanglement and state discrimination measures
topic Quantum Physics
url https://arxiv.org/abs/2506.20560