Volume 99, Number 2, July 2012
|Number of page(s)||5|
|Published online||30 July 2012|
Unification of witnessing initial system-environment correlations and witnessing non-Markovianity
1 Bremen Center for Computational Materials Science, Universität Bremen - Am Fallturm 1, 28359 Bremen, Germany, EU
2 Department of Physics, University of Oxford, Clarendon Laboratory - Oxford, UK, EU
3 Centre for Quantum Technologies, National University of Singapore - Singapore
4 Centre for Theoretical Atomic, Molecular and Optical Physics, School of Mathematics and Physics, Queen's University Belfast - BT7 1NN Belfast, UK, EU
5 Department of Chemistry and Chemical Biology, Harvard University - Cambridge, MA, USA
Received: 30 April 2012
Accepted: 26 June 2012
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.
PACS: 03.65.Yz – Decoherence; open systems; quantum statistical methods / 42.50.Lc – Quantum fluctuations, quantum noise, and quantum jumps / 03.65.Ta – Foundations of quantum mechanics; measurement theory
© EPLA, 2012
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