Complementarity of quantum discord and classically accessible information
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 observableindependent 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 quasiclassical pointer observable. Other observables are accessible only via correlations with the pointer observable. In addition, we prove an antisymmetry 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:

^{[1]};
^{[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)
 Publication Date:
 Report Number(s):
 LAUR1326386
Journal ID: ISSN 20452322
 Grant/Contract Number:
 AC5206NA25396
 Type:
 Accepted Manuscript
 Journal Name:
 Scientific Reports
 Additional Journal Information:
 Journal Volume: 3; Journal ID: ISSN 20452322
 Publisher:
 Nature Publishing Group
 Research Org:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org:
 USDOE
 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
 OSTI Identifier:
 1321734
Zwolak, Michael P., and Zurek, Wojciech H.. Complementarity of quantum discord and classically accessible information. United States: N. p.,
Web. doi:10.1038/srep01729.
Zwolak, Michael P., & Zurek, Wojciech H.. Complementarity of quantum discord and classically accessible information. United States. doi:10.1038/srep01729.
Zwolak, Michael P., and Zurek, Wojciech H.. 2013.
"Complementarity of quantum discord and classically accessible information". United States.
doi: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 observableindependent 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 quasiclassical pointer observable. Other observables are accessible only via correlations with the pointer observable. In addition, we prove an antisymmetry 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},
journal = {Scientific Reports},
number = ,
volume = 3,
place = {United States},
year = {2013},
month = {5}
}