On the emergence of quantum Darwinism and pointer states for non-commuting evolutions

Fuente: arXiv
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Auteurs principaux: Chisholm, Diana A., Palma, G. Massimo, Innocenti, Luca
Format: Preprint
Publié: 2025
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author Chisholm, Diana A.
Palma, G. Massimo
Innocenti, Luca
author_facet Chisholm, Diana A.
Palma, G. Massimo
Innocenti, Luca
contents Quantum systems achieve objectivity by redundantly encoding information about themselves into the surrounding environment, through a mechanism known as quantum Darwinism. When this happens, observes measure the environment and infer the system to be in one of its pointer states. We study the emergence of objectivity whenever the Hamiltonian of the system and the interaction Hamiltonian between system and environment do not commute, a condition which is thought to be incompatible with the presence of pointer states. We show that, not only non-commuting evolutions allow for the emergence of objective states, but it is possible to give a more relaxed definition of pointer states, that is always well defined whenever there is redundancy of information, and coincides with the usual one for commuting evolutions.
format Preprint
id arxiv_https___arxiv_org_abs_2510_06867
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the emergence of quantum Darwinism and pointer states for non-commuting evolutions
Chisholm, Diana A.
Palma, G. Massimo
Innocenti, Luca
Quantum Physics
Quantum systems achieve objectivity by redundantly encoding information about themselves into the surrounding environment, through a mechanism known as quantum Darwinism. When this happens, observes measure the environment and infer the system to be in one of its pointer states. We study the emergence of objectivity whenever the Hamiltonian of the system and the interaction Hamiltonian between system and environment do not commute, a condition which is thought to be incompatible with the presence of pointer states. We show that, not only non-commuting evolutions allow for the emergence of objective states, but it is possible to give a more relaxed definition of pointer states, that is always well defined whenever there is redundancy of information, and coincides with the usual one for commuting evolutions.
title On the emergence of quantum Darwinism and pointer states for non-commuting evolutions
topic Quantum Physics
url https://arxiv.org/abs/2510.06867