Quantum Darwinism in a Composite System: Objectivity versus Classicality

Barış Çakmak; Özgür E Müstecaplıoğlu; Mauro Paternostro; Bassano Vacchini; Steve Campbell

doi:10.3390/e23080995

Quantum Darwinism in a Composite System: Objectivity versus Classicality

Barış Çakmak, Özgür E Müstecaplıoğlu, Mauro Paternostro, Bassano Vacchini, Steve Campbell

School of Mathematics and Physics

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

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Abstract

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.

Original language	English
Article number	995
Number of pages	13
Journal	Entropy
Volume	23
Issue number	8
Early online date	31 Jul 2021
DOIs	https://doi.org/10.3390/e23080995
Publication status	Published - Aug 2021

Bibliographical note

Funding Information:
Funding: S.C. gratefully acknowledges the Science Foundation Ireland Starting Investigator Research Grant “SpeedDemon” (No. 18/SIRG/5508) for financial support. B.Ç. is supported by the BAGEP Award of the Science Academy and by The Research Fund of Bahçes¸ehir University (BAUBAP) under project No. BAP.2019.02.03. B.V. and acknowledges the UniMi Transition Grant H2020. M.P. is supported by the H2020-FETOPEN-2018-2020 project TEQ (grant No. 766900), the DfE-SFI Investigator Programme (grant 15/IA/2864), the Royal Society Wolfson Research Fellowship (RSWF\R3\183013), the Leverhulme Trust Research Project Grant (grant No. RGP-2018-266), and the U.K. EPSRC (grant No. EP/T028106/1).

Funding Information:
S.C. gratefully acknowledges the Science Foundation Ireland Starting Investigator Research Grant ?SpeedDemon? (No. 18/SIRG/5508) for financial support. B.?. is supported by the BAGEP Award of the Science Academy and by The Research Fund of Bah?e?ehir University (BAUBAP) under project No. BAP.2019.02.03. B.V. and acknowledges the UniMi Transition Grant H2020. M.P. is supported by the H2020-FETOPEN-2018-2020 project TEQ (grant No. 766900), the DfE-SFI Investigator Programme (grant 15/IA/2864), the Royal Society Wolfson Research Fellowship (RSWF\R3\183013), the Leverhulme Trust Research Project Grant (grant No. RGP-2018-266), and the U.K. EPSRC (grant No. EP/T028106/1).

Publisher Copyright:
© 2021 by the authors. Licensee MDPI, Basel, Switzerland.

Keywords

open quantum systems
quantum Darwinism
decoherence

ASJC Scopus subject areas

Information Systems
Mathematical Physics
Physics and Astronomy (miscellaneous)
Electrical and Electronic Engineering

Access to Document

10.3390/e23080995Licence: CC BY

Quantum Darwinism in a Composite System: Objectivity versus Classicality
Copyright 2021 the authors. This is an open access article published under a Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium, provided the author and source are cited.
Final published version, 959 KBLicence: CC BY

Cite this

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title = "Quantum Darwinism in a Composite System: Objectivity versus Classicality",

abstract = "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.",

keywords = "open quantum systems, quantum Darwinism, decoherence",

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note = "Funding Information: Funding: S.C. gratefully acknowledges the Science Foundation Ireland Starting Investigator Research Grant “SpeedDemon” (No. 18/SIRG/5508) for financial support. B.{\c C}. is supported by the BAGEP Award of the Science Academy and by The Research Fund of Bah{\c c}es¸ehir University (BAUBAP) under project No. BAP.2019.02.03. B.V. and acknowledges the UniMi Transition Grant H2020. M.P. is supported by the H2020-FETOPEN-2018-2020 project TEQ (grant No. 766900), the DfE-SFI Investigator Programme (grant 15/IA/2864), the Royal Society Wolfson Research Fellowship (RSWF\R3\183013), the Leverhulme Trust Research Project Grant (grant No. RGP-2018-266), and the U.K. EPSRC (grant No. EP/T028106/1). Funding Information: S.C. gratefully acknowledges the Science Foundation Ireland Starting Investigator Research Grant ?SpeedDemon? (No. 18/SIRG/5508) for financial support. B.?. is supported by the BAGEP Award of the Science Academy and by The Research Fund of Bah?e?ehir University (BAUBAP) under project No. BAP.2019.02.03. B.V. and acknowledges the UniMi Transition Grant H2020. M.P. is supported by the H2020-FETOPEN-2018-2020 project TEQ (grant No. 766900), the DfE-SFI Investigator Programme (grant 15/IA/2864), the Royal Society Wolfson Research Fellowship (RSWF\R3\183013), the Leverhulme Trust Research Project Grant (grant No. RGP-2018-266), and the U.K. EPSRC (grant No. EP/T028106/1). Publisher Copyright: {\textcopyright} 2021 by the authors. Licensee MDPI, Basel, Switzerland.",

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AU - Vacchini, Bassano

AU - Campbell, Steve

N1 - Funding Information: Funding: S.C. gratefully acknowledges the Science Foundation Ireland Starting Investigator Research Grant “SpeedDemon” (No. 18/SIRG/5508) for financial support. B.Ç. is supported by the BAGEP Award of the Science Academy and by The Research Fund of Bahçes¸ehir University (BAUBAP) under project No. BAP.2019.02.03. B.V. and acknowledges the UniMi Transition Grant H2020. M.P. is supported by the H2020-FETOPEN-2018-2020 project TEQ (grant No. 766900), the DfE-SFI Investigator Programme (grant 15/IA/2864), the Royal Society Wolfson Research Fellowship (RSWF\R3\183013), the Leverhulme Trust Research Project Grant (grant No. RGP-2018-266), and the U.K. EPSRC (grant No. EP/T028106/1). Funding Information: S.C. gratefully acknowledges the Science Foundation Ireland Starting Investigator Research Grant ?SpeedDemon? (No. 18/SIRG/5508) for financial support. B.?. is supported by the BAGEP Award of the Science Academy and by The Research Fund of Bah?e?ehir University (BAUBAP) under project No. BAP.2019.02.03. B.V. and acknowledges the UniMi Transition Grant H2020. M.P. is supported by the H2020-FETOPEN-2018-2020 project TEQ (grant No. 766900), the DfE-SFI Investigator Programme (grant 15/IA/2864), the Royal Society Wolfson Research Fellowship (RSWF\R3\183013), the Leverhulme Trust Research Project Grant (grant No. RGP-2018-266), and the U.K. EPSRC (grant No. EP/T028106/1). Publisher Copyright: © 2021 by the authors. Licensee MDPI, Basel, Switzerland.

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Quantum Darwinism in a Composite System: Objectivity versus Classicality

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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