Unification of Witnessing Initial System-Environment Correlations and Witnessing Non-Markovianity

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Unification of Witnessing Initial System-Environment Correlations and Witnessing Non-Markovianity

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Title: Unification of Witnessing Initial System-Environment Correlations and Witnessing Non-Markovianity
Author: Rodríguez-Rosario, C. A.; Modi, K.; Mazzola, L.; Aspuru-Guzik, Alan

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Citation: Rodríguez-Rosario, C. A., K. Modi, L. Mazzola, and Alan Aspuru-Guzik. 2012. “Unification of witnessing initial system-environment correlations and witnessing non-Markovianity.” EPL (Europhysics Letters) 99 (2) (July 1): 20010. doi:10.1209/0295-5075/99/20010. http://dx.doi.org/10.1209/0295-5075/99/20010.
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Abstract: We show the connection between a witness that detects dynamical maps with initial system-environment correlations and a witness that detects non-Markovian open quantum systems. Our analysis is based on studying the role that state preparation plays in witnessing violations of contractivity of open-quantum-system dynamics. Contractivity is a property of some quantum processes where the trace distance of density matrices decrease with time. From this, we show how a witness of initial correlations is an upper bound to a witness of non-Markovianity. We discuss how this relationship shows further connections between initial system-environment correlations and non-Markovianity, at an instance of time, in open quantum systems.
Published Version: doi:10.1209/0295-5075/99/20010
Other Sources: http://arxiv.org/abs/1204.2197
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:11639527
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