Objectivity (or lack thereof): Comparison between predictions of quantum Darwinism and spectrum broadcast structure

Thao P. Le and Alexandra Olaya-Castro
Phys. Rev. A 98, 032103 – Published 5 September 2018

Abstract

Quantum Darwinism and spectrum broadcast structure describe the emergence of objectivity in quantum systems. However, it is unclear whether these two frameworks lead to consistent predictions on the objectivity of the state of a quantum system in a given scenario. In this paper, we jointly investigate quantum Darwinism and spectrum broadcasting, as well as the subdivision of quantum Darwinism into accessible information and quantum discord, in a two-level system interacting with an N-level environment via a random matrix coupling. We propose a partial trace method to suitably and consistently partition the effective N-level environment and compare the predictions with those obtained using the partitioning method proposed by Perez [Phys. Rev. A 81, 052326 (2010)]. We find that quantum Darwinism can apparently emerge under the Perez trace even when spectrum broadcast structure does not emerge, and the majority of the quantum mutual information between system and environment fractions is in fact quantum in nature. This work therefore shows there can be discrepancies between quantum Darwinism and the nature of information and spectrum broadcast structure.

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  • Received 21 March 2018

DOI:https://doi.org/10.1103/PhysRevA.98.032103

©2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyGeneral Physics

Authors & Affiliations

Thao P. Le* and Alexandra Olaya-Castro

  • Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom

  • *thao.le.16@ucl.ac.uk

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Issue

Vol. 98, Iss. 3 — September 2018

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