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arXiv:0809.0530

Proposal For Testing Bell's Conjecture

Luiz Carlos Ryff

Published Sep 3, 2008• 0 citations
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Abstract

A simple nonlocal mechanism for Einstein-Podolsky-Rosen (EPR) correlations inspired by Bell's conjecture (according to which "behind the scenes something is going faster than light") is suggested, and an experimental test is proposed.
DOI
10.48550/arxiv.0809.0530

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It has been advocated by Bell and Bohm that the Einstein-Podolsky-Rosen (EPR) correlations are mediated through faster-than-light (FTL) interactions. In a previous paper a way to avoid causal paradoxes derived from this FTL hypothesis (via the breakdown of Lorentz symmetry) has been suggested. Lorentz transformations would remain valid, but there would be no equivalence between active and passive Lorentz transformations in the case of EPR correlations. Some counterintuitive consequences of this assumption are briefly examined here.
Quantum nonlocality has recently been classified into three distinct types: quantum entanglement, Einstein-Podolsky-Rosen (EPR) steering, and Bell's nonlocality. Experimentally Bell's nonlocality is usually tested by quantum violation of the Clause-Horne-Shimony-Holt (CHSH) inequality in the two-qubit system. Bell's nonlocality is the strongest type of nonlocality, also due this reason Bell-test experiments have encountered both the locality loophole and the detection loophole for a very long time. As a weaker nonlocality, EPR steering naturally escapes from the locality loophole and is correspondingly easier to be demonstrated without the detection loophole. In this work, we trigger an extraordinary approach to investigate Bell's nonlocality, which is strongly based on the EPR steering. We present a theorem, showing that for any two-qubit state τττ, if its mapped state ρρρ is EPR steerable, then the state τττ must be Bell nonlocal. The result not only pinpoints a deep connection between EPR steering and Bell's nonlocality, but also sheds a new light to realize a loophole-free Bell-test experiment (without the CHSH inequality) through the violation of steering inequality.