Quantum Darwinism in a Composite System: Objectivity versus Classicality

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

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14 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 languageEnglish
Article number995
Number of pages13
JournalEntropy
Volume23
Issue number8
Early online date31 Jul 2021
DOIs
Publication statusPublished - 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

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