Canonical Leggett-Garg Inequality: Nonclassicality of temporal quantum correlations under energy constraint

Nonclassicality of temporal correlations pertaining to noncommutative sequential measurements is defined through the violation of macrorealistic inequalities, known as Leggett-Garg inequalities (LGI). We investigate the energy cost of the process associated with the Leggett-Garg test in the context...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2018-09
Main Authors: Chanda, Titas, Das, Tamoghna, Mal, Shiladitya, Aditi Sen De, Sen, Ujjwal
Format: Article
Language:English
Subjects:
Correlation analysis
Dependence
Energy costs
Environmental effects
Inequalities
Markov processes
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Nonclassicality of temporal correlations pertaining to noncommutative sequential measurements is defined through the violation of macrorealistic inequalities, known as Leggett-Garg inequalities (LGI). We investigate the energy cost of the process associated with the Leggett-Garg test in the context of noiseless and Markovian noise for arbitrary initial states. We prove that in noiseless and in certain noisy scenarios, the maximal violations of LGI under the energy constraint occurs when the average energy of the process is equal to the negative of the energy of the initial state. Such a dependence of LGI on the choice of the initial state is not seen in the unconstrained case. Moreover, we find that in the presence of a moderate amount of Markovian noise, the amount of violation of LGI remains almost unaltered with a suitable choice of the evolution and dephasing operators in the neighborhood of the maximal violation line, thereby showing the robustness of temporal correlations under environmental effects.
ISSN:2331-8422
DOI:10.48550/arxiv.1805.04665