Complementarity of quantum discord and classically accessible information
Abstract
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.
- Authors:
-
- 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)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1321734
- Report Number(s):
- LA-UR-13-26386
Journal ID: ISSN 2045-2322
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Journal Article: Accepted Manuscript
- Journal Name:
- Scientific Reports
- Additional Journal Information:
- Journal Volume: 3; Journal ID: ISSN 2045-2322
- Publisher:
- Nature Publishing Group
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; information theory and computation; quantum information; quantum mechanics; theoretical physics
Citation Formats
Zwolak, Michael P., and Zurek, Wojciech H. Complementarity of quantum discord and classically accessible information. United States: N. p., 2013.
Web. doi:10.1038/srep01729.
Zwolak, Michael P., & Zurek, Wojciech H. Complementarity of quantum discord and classically accessible information. United States. https://doi.org/10.1038/srep01729
Zwolak, Michael P., and Zurek, Wojciech H. 2013.
"Complementarity of quantum discord and classically accessible information". United States. https://doi.org/10.1038/srep01729. https://www.osti.gov/servlets/purl/1321734.
@article{osti_1321734,
title = {Complementarity of quantum discord and classically accessible information},
author = {Zwolak, Michael P. and Zurek, Wojciech H.},
abstractNote = {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.},
doi = {10.1038/srep01729},
url = {https://www.osti.gov/biblio/1321734},
journal = {Scientific Reports},
issn = {2045-2322},
number = ,
volume = 3,
place = {United States},
year = {Mon May 20 00:00:00 EDT 2013},
month = {Mon May 20 00:00:00 EDT 2013}
}
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