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Avoiding Loopholes with Hybrid Bell-Leggett-Garg Inequalities

2013/10/31 by Justin Dressel, Alexander N. Korotkov · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physreva.89.012125

published as Phys. Rev. A 89, 012125 (2014) · 5 pages, 3 figures, published version

arxiv created 2014/03/01 · arxiv updated 2014/03/04

Abstract

By combining the postulates of macrorealism with Bell locality, we derive a qualitatively different hybrid inequality that avoids two loopholes that commonly appear in Leggett-Garg and Bell inequalities. First, locally invasive measurements can be used, which avoids the "clumsiness" Leggett-Garg inequality loophole. Second, a single experimental ensemble with fixed analyzer settings is sampled, which avoids the "disjoint sampling" Bell inequality loophole. The derived hybrid inequality has the same form as the Clauser-Horne-Shimony-Holt Bell inequality; however, its quantum violation intriguingly requires weak measurements. A realistic explanation of an observed violation requires either the failure of Bell locality, or a preparation-conspiracy of finely tuned and nonlocally correlated noise. Modern superconducting and optical systems are poised to implement this test.

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