Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevA.86.064102
Title: Positivity in the presence of initial system-environment correlation
Authors: Modi, K. 
Rodríguez-Rosario, C.A.
Aspuru-Guzik, A.
Issue Date: 12-Dec-2012
Citation: Modi, K., Rodríguez-Rosario, C.A., Aspuru-Guzik, A. (2012-12-12). Positivity in the presence of initial system-environment correlation. Physical Review A - Atomic, Molecular, and Optical Physics 86 (6) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevA.86.064102
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. © 2012 American Physical Society.
Source Title: Physical Review A - Atomic, Molecular, and Optical Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/112485
ISSN: 10502947
DOI: 10.1103/PhysRevA.86.064102
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