Joint reality and Bell inequalities for consecutive measurements

Abstract

Some new Bell inequalities for consecutive measurements are deduced under joint realism assumption, using some perfect correlation property. No locality condition is needed. When the measured system is a macroscopic system, joint realism assumption substitutes the non-invasive hypothesis advantageously, provided that the system satisfies the perfect correlation property. The new inequalities are violated quantically. This violation can be expected to be more severe than in the case of precedent temporal Bell inequalities. Some microscopic and mesoscopic situations, in which the new inequalities could be tested, are roughly considered.

7 pages, no figures

References in corpus (3)

• The Bell Theorem as a Special Case of a Theorem of Bass
• Optimal Measurements of Magnetic Flux in Superconducting Circuits and Macroscopic Quantum Mechanics
• Testing temporal Bell inequalities through repeated measurements in rf-SQUIDs

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• Experimental test of nonclassicality for a single particle
• Ambiguous measurements, signalling and violations of Leggett-Garg inequalities
• Leggett-Garg tests of macrorealism: checks for non-invasiveness and generalizations to higher-order correlators
• Unification of Bell, Leggett-Garg and Kochen-Specker inequalities: A hybrid spatio-temporal inequality
• Divisible quantum dynamics satisfies temporal Tsirelson's bound
• Connecting XOR and XOR* games