Issue |
EPL
Volume 118, Number 5, June 2017
|
|
---|---|---|
Article Number | 50002 | |
Number of page(s) | 6 | |
Section | General | |
DOI | https://doi.org/10.1209/0295-5075/118/50002 | |
Published online | 01 August 2017 |
Inequivalent Leggett-Garg inequalities
National Institute of Technology Patna - Ashok Rajpath, Patna, Bihar 800005, India
(a) akp@nitp.ac.in
Received: 30 May 2017
Accepted: 7 July 2017
It remains an open question how a realist view of the macroscopic world emerges from a quantum formalism. For testing the macrorealism in the quantum domain, an interesting approach was put forward by Leggett and Garg in 1985, by formulating a suitable inequality valid for any macrorealistic theory. Recently, by following the Wigner idea of local realist inequality, a probabilistic version of standard Leggett-Garg inequalities has also been proposed. While the Wigner form of local realist inequalities is equivalent to the two-party, two-measurements and two-outcomes CHSH inequalities, in this paper we provide a generic proof to demonstrate that the Wigner form of Leggett-Garg inequalities is not only inequivalent to the standard ones, but also stronger than the latter. This is demonstrated by quantifying the amount of disturbance caused by a priori measurement to the subsequent measurements. In this connection, the relation between LGIs and another formulation of macrorealism known as no-signaling in time is examined.
PACS: 03.65.Ta – Foundations of quantum mechanics; measurement theory / 03.67.-a – Quantum information
© EPLA, 2017
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