TY - JOUR

T1 - All bipartite entangled states display some hidden nonlocality

AU - Masanes, Lluís

AU - Liang, Yeong Cherng

AU - Doherty, Andrew C.

PY - 2008/3/4

Y1 - 2008/3/4

N2 - One of the most significant and well-known properties of entangled states is that they may lead to violations of Bell inequalities and are thus inconsistent with any local-realistic theory. However, there are entangled states that cannot violate any Bell inequality, and in general the precise relationship between entanglement and observable nonlocality is not well understood. We demonstrate that a violation of the Clauser-Horne-Shimony-Holt (CHSH) inequality can be demonstrated in a certain kind of Bell experiment for all entangled states. Our proof of the result consists of two main steps. We first provide a simple characterization of the set of states that do not violate the CHSH inequality even after general local operations and classical communication. Second, we prove that for each entangled state , there exists another state not violating the CHSH inequality, such that violates the CHSH inequality.

AB - One of the most significant and well-known properties of entangled states is that they may lead to violations of Bell inequalities and are thus inconsistent with any local-realistic theory. However, there are entangled states that cannot violate any Bell inequality, and in general the precise relationship between entanglement and observable nonlocality is not well understood. We demonstrate that a violation of the Clauser-Horne-Shimony-Holt (CHSH) inequality can be demonstrated in a certain kind of Bell experiment for all entangled states. Our proof of the result consists of two main steps. We first provide a simple characterization of the set of states that do not violate the CHSH inequality even after general local operations and classical communication. Second, we prove that for each entangled state , there exists another state not violating the CHSH inequality, such that violates the CHSH inequality.

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U2 - 10.1103/PhysRevLett.100.090403

DO - 10.1103/PhysRevLett.100.090403

M3 - Article

AN - SCOPUS:40849120793

SN - 0031-9007

VL - 100

JO - Physical Review Letters

JF - Physical Review Letters

IS - 9

M1 - 090403

ER -