期刊
NEW JOURNAL OF PHYSICS
卷 20, 期 -, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/aaca22
关键词
quantum nonlocality; quantum correlations; entanglement; entanglement anomaly; nonlocality measure; nonlocal volume
资金
- STW Netherlands
- NWO VIDI grant
- ERC
- ERC CoG QITBOX
- AXA Chair in Quantum Information Science
- Mexican Conacyt Graduate Fellowship Program
- Spanish MINECO [QIBEQI FIS2016-80773-P, Severo Ochoa SEV-2015-0522]
- Fundacio Cellex
- Generalitat de Catalunya (CERCA Program)
- Generalitat de Catalunya [SGR1381]
While all bipartite pure entangled states are known to generate correlations violating a Bell inequality, and are therefore nonlocal, the quantitative relation between pure state entanglement and nonlocality is poorly understood. In fact, some Bell inequalities are maximally violated by non-maximally entangled states and this phenomenon is also observed for other operational measures of nonlocality. In this work, we study a recently proposed measure of nonlocality defined as the probability that a pure state displays nonlocal correlations when subjected to random measurements. We first prove that this measure satisfies some natural properties for an operational measure of nonlocality. Then, we show that for pure states of two qubits the measure is monotonic with entanglement for all correlation two-outcome Bell inequalities: for all these inequalities, the more the state is entangled, the larger the probability to violate them when random measurements are performed. Finally, we extend our results to the multipartite setting.
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