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Article

Quantum Darwinism in a Composite System: Objectivity versus Classicality

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College of Engineering and Natural Sciences, Bahçeşehir University, Beşiktaş, İstanbul 34353, Turkey
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Department of Physics, Koç University, Sarıyer, İstanbul 34450, Turkey
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Centre for Theoretical Atomic, Molecular and Optical Physics, School of Mathematics and Physics, Queen’s University Belfast, Belfast BT7 1NN, UK
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Dipartimento di Fisica “Aldo Pontremoli”, Università degli Studi di Milano, via Celoria 16, 20133 Milan, Italy
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Istituto Nazionale di Fisica Nucleare, Sezione di Milano, via Celoria 16, 20133 Milan, Italy
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School of Physics, University College Dublin, Belfield, Dublin 4, Ireland
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Centre for Quantum Engineering, Science, and Technology, University College Dublin, Belfield, Dublin 4, Ireland
*
Authors to whom correspondence should be addressed.
Academic Editor: Ronnie Kosloff
Entropy 2021, 23(8), 995; https://doi.org/10.3390/e23080995
Received: 5 July 2021 / Revised: 28 July 2021 / Accepted: 28 July 2021 / Published: 31 July 2021
(This article belongs to the Special Issue Quantum Darwinism and Friends)
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. View Full-Text
Keywords: quantum Darwinism; decoherence; open quantum systems quantum Darwinism; decoherence; open quantum systems
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MDPI and ACS Style

Çakmak, B.; Müstecaplıoğlu, Ö.E.; Paternostro, M.; Vacchini, B.; Campbell, S. Quantum Darwinism in a Composite System: Objectivity versus Classicality. Entropy 2021, 23, 995. https://doi.org/10.3390/e23080995

AMA Style

Çakmak B, Müstecaplıoğlu ÖE, Paternostro M, Vacchini B, Campbell S. Quantum Darwinism in a Composite System: Objectivity versus Classicality. Entropy. 2021; 23(8):995. https://doi.org/10.3390/e23080995

Chicago/Turabian Style

Çakmak, Barış, Özgür E. Müstecaplıoğlu, Mauro Paternostro, Bassano Vacchini, and Steve Campbell. 2021. "Quantum Darwinism in a Composite System: Objectivity versus Classicality" Entropy 23, no. 8: 995. https://doi.org/10.3390/e23080995

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