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Leggett-Garg tests of macrorealism: checks for noninvasiveness and generalizations to higher-order correlators

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Title: Leggett-Garg tests of macrorealism: checks for noninvasiveness and generalizations to higher-order correlators
Authors: Halliwell, JJ
Item Type: Journal Article
Abstract: In the tests for macrorealism proposed by Leggett and Garg, the temporal correlation functions of a dichotomic variable Q must be measured in a noninvasive way to rule out alternative classical explanations of Leggett-Garg inequality violations. Ideal negative measurements in which a null result is argued to be a noninvasive determination of the system's state are often used. From a quantum-mechanical perspective, such a measurement collapses the wave function and will therefore typically be found to be invasive under any experimental check. Here, a simple modified ideal negative measurement protocol is described for measuring the correlation functions, which is argued to be noninvasive from both classical and quantum perspectives and hence the noninvasiveness can then be checked experimentally, thereby permitting a quantitative measure of the degree of clumsiness of the measurement. It is also shown how this procedure may be extended to measure higher-order correlation functions, and a number of higher-order conditions for macrorealism are derived.
Issue Date: 19-Feb-2019
Date of Acceptance: 19-Feb-2019
URI: http://hdl.handle.net/10044/1/68578
DOI: https://dx.doi.org/10.1103/PhysRevA.99.022119
ISSN: 1050-2947
Publisher: American Physical Society
Journal / Book Title: Physical Review A
Volume: 99
Issue: 2
Copyright Statement: ©2019 American Physical Society
Keywords: Science & Technology
Physical Sciences
Physics, Atomic, Molecular & Chemical
Publication Status: Published
Open Access location: https://arxiv.org/abs/1901.03410
Article Number: ARTN 022119
Appears in Collections:Physics
Theoretical Physics