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Main Authors: Chisholm, Diana A., Innocenti, Luca, Palma, G. Massimo
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2401.04769
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author Chisholm, Diana A.
Innocenti, Luca
Palma, G. Massimo
author_facet Chisholm, Diana A.
Innocenti, Luca
Palma, G. Massimo
contents In the context of quantum objectivity, a standard way to quantify the classicality of a state is via the mutual information between a system and different fractions of its environment. Many of the tools developed in the relevant literature to quantify quantum objectivity via quantum mutual information rely on the assumption that information about the system leaks symmetrically into its environment. In this work, we highlight the importance of taking this assumption into account, and in particular, analyse how taking non-averaged quantum mutual information as a quantifier of quantum objectivity can be severely misleading whenever information about the system is encoded into the environment in a non-homogeneous way. On the other hand, the averaged mutual information always provides results with a clear operative interpretation.
format Preprint
id arxiv_https___arxiv_org_abs_2401_04769
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The importance of using the averaged mutual information when quantifying quantum objectivity
Chisholm, Diana A.
Innocenti, Luca
Palma, G. Massimo
Quantum Physics
In the context of quantum objectivity, a standard way to quantify the classicality of a state is via the mutual information between a system and different fractions of its environment. Many of the tools developed in the relevant literature to quantify quantum objectivity via quantum mutual information rely on the assumption that information about the system leaks symmetrically into its environment. In this work, we highlight the importance of taking this assumption into account, and in particular, analyse how taking non-averaged quantum mutual information as a quantifier of quantum objectivity can be severely misleading whenever information about the system is encoded into the environment in a non-homogeneous way. On the other hand, the averaged mutual information always provides results with a clear operative interpretation.
title The importance of using the averaged mutual information when quantifying quantum objectivity
topic Quantum Physics
url https://arxiv.org/abs/2401.04769