We propose the information-theoretic quantity of geometric quantum discord (GQD) as an indicator of the factorization properties of a given quantum system. In particular, we show how non-vanishing discord implies that the corresponding partition function does not factorize, both for generic pure states and the thermofield double state as a state with a known geometric dual in light of the AdS/CFT correspondence. Via this analysis, we give a novel interpretation to the thermomixed double state as the best purely classical approximation of the Einstein-Rosen bridge. We connect the non-vanishing of GQD with the existence of wormhole microstates.
Description
Geometric quantum discord signals non-factorization | Journal of High Energy Physics
%0 Journal Article
%1 Banerjee2023
%A Banerjee, Souvik
%A Basteiro, Pablo
%A Das, Rathindra Nath
%A Dorband, Moritz
%D 2023
%J J. High Energy Phys.
%K a b
%N 8
%P 104
%R 10.1007/JHEP08(2023)104
%T Geometric quantum discord signals non-factorization
%U https://doi.org/10.1007/JHEP08(2023)104
%V 2023
%X We propose the information-theoretic quantity of geometric quantum discord (GQD) as an indicator of the factorization properties of a given quantum system. In particular, we show how non-vanishing discord implies that the corresponding partition function does not factorize, both for generic pure states and the thermofield double state as a state with a known geometric dual in light of the AdS/CFT correspondence. Via this analysis, we give a novel interpretation to the thermomixed double state as the best purely classical approximation of the Einstein-Rosen bridge. We connect the non-vanishing of GQD with the existence of wormhole microstates.
@article{Banerjee2023,
abstract = {We propose the information-theoretic quantity of geometric quantum discord (GQD) as an indicator of the factorization properties of a given quantum system. In particular, we show how non-vanishing discord implies that the corresponding partition function does not factorize, both for generic pure states and the thermofield double state as a state with a known geometric dual in light of the AdS/CFT correspondence. Via this analysis, we give a novel interpretation to the thermomixed double state as the best purely classical approximation of the Einstein-Rosen bridge. We connect the non-vanishing of GQD with the existence of wormhole microstates.},
added-at = {2023-11-22T18:38:12.000+0100},
author = {Banerjee, Souvik and Basteiro, Pablo and Das, Rathindra Nath and Dorband, Moritz},
biburl = {https://www.bibsonomy.org/bibtex/2721710b6e03458c7145dbda2bcaeb893/ctqmat},
day = 17,
description = {Geometric quantum discord signals non-factorization | Journal of High Energy Physics},
doi = {10.1007/JHEP08(2023)104},
interhash = {f216e8a839112fcecd96df29f2f5da40},
intrahash = {721710b6e03458c7145dbda2bcaeb893},
issn = {1029-8479},
journal = {J. High Energy Phys.},
keywords = {a b},
month = {08},
number = 8,
pages = 104,
timestamp = {2023-11-22T18:38:12.000+0100},
title = {Geometric quantum discord signals non-factorization},
url = {https://doi.org/10.1007/JHEP08(2023)104},
volume = 2023,
year = 2023
}