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Quantum Darwinism in a Composite System: Objectivity versus Classicality

We investigate the implications of quantum Darwinism in a composite quantum system with interacting constituents exhibiting a decoherence-free subspace. We consider a two-qubit system coupled to an N-qubit environment via a dephasing interaction. For excitation preserving interactions between the sy...

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Autores principales: Çakmak, Barış, Müstecaplıoğlu, Özgür E., Paternostro, Mauro, Vacchini, Bassano, Campbell, Steve
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8391639/
https://www.ncbi.nlm.nih.gov/pubmed/34441135
http://dx.doi.org/10.3390/e23080995
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author Çakmak, Barış
Müstecaplıoğlu, Özgür E.
Paternostro, Mauro
Vacchini, Bassano
Campbell, Steve
author_facet Çakmak, Barış
Müstecaplıoğlu, Özgür E.
Paternostro, Mauro
Vacchini, Bassano
Campbell, Steve
author_sort Çakmak, Barış
collection PubMed
description We investigate the implications of quantum Darwinism in a composite quantum system with interacting constituents exhibiting a decoherence-free subspace. We consider a two-qubit system coupled to an N-qubit environment via a dephasing interaction. For excitation preserving interactions between the system qubits, an analytical expression for the dynamics is obtained. It demonstrates that part of the system Hilbert space redundantly proliferates its information to the environment, while the remaining subspace is decoupled and preserves clear non-classical signatures. For measurements performed on the system, we establish that a non-zero quantum discord is shared between the composite system and the environment, thus violating the conditions of strong Darwinism. However, due to the asymmetry of quantum discord, the information shared with the environment is completely classical for measurements performed on the environment. Our results imply a dichotomy between objectivity and classicality that emerges when considering composite systems.
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spelling pubmed-83916392021-08-28 Quantum Darwinism in a Composite System: Objectivity versus Classicality Çakmak, Barış Müstecaplıoğlu, Özgür E. Paternostro, Mauro Vacchini, Bassano Campbell, Steve Entropy (Basel) Article We investigate the implications of quantum Darwinism in a composite quantum system with interacting constituents exhibiting a decoherence-free subspace. We consider a two-qubit system coupled to an N-qubit environment via a dephasing interaction. For excitation preserving interactions between the system qubits, an analytical expression for the dynamics is obtained. It demonstrates that part of the system Hilbert space redundantly proliferates its information to the environment, while the remaining subspace is decoupled and preserves clear non-classical signatures. For measurements performed on the system, we establish that a non-zero quantum discord is shared between the composite system and the environment, thus violating the conditions of strong Darwinism. However, due to the asymmetry of quantum discord, the information shared with the environment is completely classical for measurements performed on the environment. Our results imply a dichotomy between objectivity and classicality that emerges when considering composite systems. MDPI 2021-07-31 /pmc/articles/PMC8391639/ /pubmed/34441135 http://dx.doi.org/10.3390/e23080995 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Çakmak, Barış
Müstecaplıoğlu, Özgür E.
Paternostro, Mauro
Vacchini, Bassano
Campbell, Steve
Quantum Darwinism in a Composite System: Objectivity versus Classicality
title Quantum Darwinism in a Composite System: Objectivity versus Classicality
title_full Quantum Darwinism in a Composite System: Objectivity versus Classicality
title_fullStr Quantum Darwinism in a Composite System: Objectivity versus Classicality
title_full_unstemmed Quantum Darwinism in a Composite System: Objectivity versus Classicality
title_short Quantum Darwinism in a Composite System: Objectivity versus Classicality
title_sort quantum darwinism in a composite system: objectivity versus classicality
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8391639/
https://www.ncbi.nlm.nih.gov/pubmed/34441135
http://dx.doi.org/10.3390/e23080995
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