Addressing the Clumsiness Loophole in a Leggett-Garg Test of Macrorealism |
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Authors: | Mark M Wilde Ari Mizel |
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Institution: | 1. School of Computer Science, McGill University, Montreal, Quebec, Canada 2. Laboratory for Physical Sciences, 8050 Greenmead Drive, College Park, MD, USA, 20740
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Abstract: | The rise of quantum information theory has lent new relevance to experimental tests for non-classicality, particularly in
controversial cases such as adiabatic quantum computing superconducting circuits. The Leggett-Garg inequality is a “Bell inequality
in time” designed to indicate whether a single quantum system behaves in a macrorealistic fashion. Unfortunately, a violation
of the inequality can only show that the system is either (i) non-macrorealistic or (ii) macrorealistic but subjected to a measurement technique that happens to disturb the system. The “clumsiness” loophole
(ii) provides reliable refuge for the stubborn macrorealist, who can invoke it to brand recent experimental and theoretical
work on the Leggett-Garg test inconclusive. Here, we present a revised Leggett-Garg protocol that permits one to conclude
that a system is either (i) non-macrorealistic or (ii) macrorealistic but with the property that two seemingly non-invasive measurements can somehow collude and strongly disturb
the system. By providing an explicit check of the invasiveness of the measurements, the protocol replaces the clumsiness loophole
with a significantly smaller “collusion” loophole. |
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