Emergence of Noncontextuality under Quantum Darwinism

Quantum Darwinism proposes that the proliferation of redundant information plays a major role in the emergence of objectivity out of the quantum world. Is this kind of objectivity necessarily classical? We show that if one takes Spekkens’s notion of noncontextuality as the notion of classicality and...

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Bibliographic Details
Published inPRX quantum Vol. 2; no. 3; p. 030351
Main Authors Baldijão, Roberto D., Wagner, Rafael, Duarte, Cristhiano, Amaral, Bárbara, Cunha, Marcelo Terra
Format Journal Article
LanguageEnglish
Published American Physical Society 01.09.2021
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Summary:Quantum Darwinism proposes that the proliferation of redundant information plays a major role in the emergence of objectivity out of the quantum world. Is this kind of objectivity necessarily classical? We show that if one takes Spekkens’s notion of noncontextuality as the notion of classicality and the approach of Brandão, Piani, and Horodecki to quantum Darwinism, the answer to the above question is “‘yes,” if the environment encodes the proliferated information sufficiently well. Moreover, we propose a threshold on this encoding, above which one can unambiguously say that classical objectivity has emerged under quantum Darwinism.
ISSN:2691-3399
2691-3399
DOI:10.1103/PRXQuantum.2.030351