Complementarity of quantum discord and classically accessible information

Zwolak, Michael P.; Zurek, Wojciech H.

doi:10.1038/srep01729

Title: Complementarity of quantum discord and classically accessible information

Journal Article · Mon May 20 00:00:00 EDT 2013 · Scientific Reports

DOI:https://doi.org/10.1038/srep01729· OSTI ID:1321734

Zwolak, Michael P. ^[1]; Zurek, Wojciech H. ^[2]

Oregon State Univ., Corvallis, OR (United States). Department of Physics
Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Divison; Santa Fe Inst. (SFI), Santa Fe, NM (United States)

The sum of the Holevo quantity (that bounds the capacity of quantum channels to transmit classical information about an observable) and the quantum discord (a measure of the quantumness of correlations of that observable) yields an observable-independent total given by the quantum mutual information. This split naturally delineates information about quantum systems accessible to observers – information that is redundantly transmitted by the environment – while showing that it is maximized for the quasi-classical pointer observable. Other observables are accessible only via correlations with the pointer observable. In addition, we prove an anti-symmetry property relating accessible information and discord. It shows that information becomes objective – accessible to many observers – only as quantum information is relegated to correlations with the global environment, and, therefore, locally inaccessible. Lastly, the resulting complementarity explains why, in a quantum Universe, we perceive objective classical reality while flagrantly quantum superpositions are out of reach.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1321734

Report Number(s):: LA-UR-13-26386

Journal Information:: Scientific Reports, Vol. 3; ISSN 2045-2322

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 51 works

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