NDLI: Necessary and sufficient conditions for macrorealism using two- and three-time Leggett-Garg inequalities

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Necessary and sufficient conditions for macrorealism using two- and three-time Leggett-Garg inequalities

Content Provider	Scilit
Author	Halliwell, J. J.
Copyright Year	2019
Description	Journal: Journal of Physics: Conference Series The Leggett-Garg (LG) inequalities were introduced, as a temporal parallel of the Bell inequalities, to test macroscopic realism – the view that a macroscopic system evolving in time possesses definite properties which can be determined without disturbing the future or past state. The original LG inequalities are only a necessary condition for macrorealism, and are therefore not a decisive test. We argue, for the case of measurements of a single dichotomic variable Q, that when the original four three-time LG inequalities are augmented with a set of twelve two-time inequalities also of the LG form, Fine’s theorem applies and these augmented conditions are then both necessary and sufficient. A comparison is carried out with the alternative necessary and sufficient conditions for macrorealism based on no-signaling in time conditions which ensure that all probabilities for Q at one and two times are independent of whether earlier or intermediate measurements are made. We argue that the two tests differ in their implementation of the key requirement of non-invasive measurability so are testing different notions of macrorealism, and these notions are elucidated.
Related Links	https://iopscience.iop.org/article/10.1088/1742-6596/1275/1/012008/pdf
ISSN	17426588
e-ISSN	17426596
DOI	10.1088/1742-6596/1275/1/012008
Journal	Journal of Physics: Conference Series
Issue Number	1
Volume Number	1275
Language	English
Publisher	IOP Publishing
Publisher Date	2019-09-01
Access Restriction	Open
Subject Keyword	Journal: Journal of Physics: Conference Series History and Philosophy of Science Two Time Lg Inequalities Sufficient Conditions Necessary and Sufficient Conditions for Macrorealism
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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