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Title: Violation of the Leggett-Garg Inequality in Neutrino Oscillations

Authors:
; ; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1272658
Grant/Contract Number:
SC0012567; SC0011091
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 117; Journal Issue: 5; Related Information: CHORUS Timestamp: 2016-07-26 18:08:51; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Formaggio, J. A., Kaiser, D. I., Murskyj, M. M., and Weiss, T. E. Violation of the Leggett-Garg Inequality in Neutrino Oscillations. United States: N. p., 2016. Web. doi:10.1103/PhysRevLett.117.050402.
Formaggio, J. A., Kaiser, D. I., Murskyj, M. M., & Weiss, T. E. Violation of the Leggett-Garg Inequality in Neutrino Oscillations. United States. doi:10.1103/PhysRevLett.117.050402.
Formaggio, J. A., Kaiser, D. I., Murskyj, M. M., and Weiss, T. E. 2016. "Violation of the Leggett-Garg Inequality in Neutrino Oscillations". United States. doi:10.1103/PhysRevLett.117.050402.
@article{osti_1272658,
title = {Violation of the Leggett-Garg Inequality in Neutrino Oscillations},
author = {Formaggio, J. A. and Kaiser, D. I. and Murskyj, M. M. and Weiss, T. E.},
abstractNote = {},
doi = {10.1103/PhysRevLett.117.050402},
journal = {Physical Review Letters},
number = 5,
volume = 117,
place = {United States},
year = 2016,
month = 7
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevLett.117.050402

Citation Metrics:
Cited by: 8works
Citation information provided by
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  • The Bell and Leggett-Garg tests offer operational ways to demonstrate that nonclassical behavior manifests itself in quantum systems, and experimentalists have implemented these protocols to show that classical worldviews such as local realism and macrorealism are false, respectively. Previous theoretical research has exposed important connections between more general Bell inequalities and polyhedral combinatorics. We show here that general Leggett-Garg inequalities are closely related to the cut polytope of the complete graph, a geometric object well-studied in combinatorics. Building on that connection, we offer a family of Leggett-Garg inequalities that are not trivial combinations of the most basic Leggett-Garg inequalities. Wemore » then show that violations of macrorealism can occur in surprising ways, by giving an example of a quantum system that violates the 'pentagon' Leggett-Garg inequality but does not violate any of the basic 'triangle' Leggett-Garg inequalities.« less
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