Positivity in the Presence of Initial System-Environment Correlation

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Positivity in the Presence of Initial System-Environment Correlation

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Title: Positivity in the Presence of Initial System-Environment Correlation
Author: Modi, Kavan; Rodríguez-Rosario, César A.; Aspuru-Guzik, Alan

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Citation: Modi, Kavan, César A. Rodríguez-Rosario, and Alan Aspuru-Guzik. 2012. Positivity in the presence of initial system-environment correlation. Physical Review A 86(6): 064102.
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Abstract: The constraints imposed by the initial system-environment correlation can lead to nonpositive dynamical maps. We find the conditions for positivity and complete positivity of such dynamical maps by using the concept of an assignment map. Any initial system-environment correlations make the assignment map nonpositive, while the positivity of the dynamical map depends on the interplay between the assignment map and the system-environment coupling. We show how this interplay can reveal or hide the nonpositivity of the assignment map. We discuss the role of this interplay in Markovian models.
Published Version: doi:10.1103/PhysRevA.86.064102
Other Sources: http://arxiv.org/abs/1203.5209
Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:10384782
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