Roads to objectivity: Quantum Darwinism, Spectrum Broadcast Structures, and Strong quantum Darwinism – a review

J. K. Korbicz

Center for Theoretical Physics, Polish Academy of Sciences, 02-668 Warsaw, Poland

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The problem of objectivity, i.e. how to explain on quantum grounds the objective character of the macroscopic world, is one of the aspects of the celebrated quantum-to-classical transition. Initiated by W. H. Zurek and collaborators, this problem gained some attention recently with several approaches being developed. The aim of this work is to compare three of them: quantum Darwinism, Spectrum Broadcast Structures, and strong quantum Darwinism. The paper is concentrated on foundations, providing a synthetic analysis of how the three approaches realize the idea of objectivity and how they are related to each other. As a byproduct of this analysis, a proof of a generalized Spectrum Broadcast Structure theorem is presented. Recent quantum Darwinism experiments are also briefly discussed.

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[2] Nina Megier, Andrea Smirne, Steve Campbell, and Bassano Vacchini, "Correlations, Information Backflow, and Objectivity in a Class of Pure Dephasing Models", Entropy 24 2, 304 (2022).

[3] Wojciech Hubert Zurek, "Emergence of the Classical World from Within Our Quantum Universe", From Quantum to Classical; Essays in Honour of H.-Dieter Zeh Fundamental Theories of Physics 204, 23 (2022) ISBN:978-3-030-88780-3.

[4] Eoghan Ryan, Eoin Carolan, Steve Campbell, and Mauro Paternostro, "Commutativity and the emergence of classical objectivity", Journal of Physics Communications 6 9, 095005 (2022).

[5] Fattah Sakuldee, Philip Taranto, and Simon Milz, "Connecting commutativity and classicality for multitime quantum processes", Physical Review A 106 2, 022416 (2022).

[6] Davide Girolami, Akram Touil, Bin Yan, Sebastian Deffner, and Wojciech H. Zurek, "Redundantly Amplified Information Suppresses Quantum Correlations in Many-Body Systems", Physical Review Letters 129 1, 010401 (2022).

[7] Michael Zwolak, "Amplification, Inference, and the Manifestation of Objective Classical Information", Entropy 24 6, 781 (2022).

[8] Marcos L. W. Basso and Jonas Maziero, "Reality variation under monitoring with weak measurements", Quantum Information Processing 21 7, 255 (2022).

[9] Piotr Mironowicz, Paweł Horodecki, and Ryszard Horodecki, "Non-Perfect Propagation of Information to a Noisy Environment with Self-Evolution", Entropy 24 4, 467 (2022).

[10] Barış Çakmak, Özgür E. Müstecaplıoğlu, Mauro Paternostro, Bassano Vacchini, and Steve Campbell, "Quantum Darwinism in a Composite System: Objectivity versus Classicality", Entropy 23 8, 995 (2021).

[11] Carlo Maria Scandolo, Roberto Salazar, Jarosław K. Korbicz, and Paweł Horodecki, "Universal structure of objective states in all fundamental causal theories", arXiv:1805.12126, Physical Review Research 3 3, 033148 (2018).

[12] Feng Tian, Jian Zou, Hai Li, and Bin Shao, "Relevance between Information scrambling and quantum Darwinism", arXiv:2205.06939.

[13] Akram Touil and Sebastian Deffner, "Environment-Assisted Shortcuts to Adiabaticity", Entropy 23 11, 1479 (2021).

[14] Damian Kwiatkowski, Łukasz Cywiński, and Jarosław K. Korbicz, "Appearance of objectivity for NV centers interacting with dynamically polarized nuclear environment", New Journal of Physics 23 4, 043036 (2021).

[15] Wilson S. Martins and Diogo O. Soares-Pinto, "Suppressing information storage in a structured thermal bath: Objectivity and non-Markovianity", arXiv:2110.03490.

[16] M. Kiciński and J. K. Korbicz, "Decoherence and objectivity in higher spin environments", Physical Review A 104 4, 042216 (2021).

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