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Complete positivity, finite temperature effects, and additivity of noise for time-local qubit dynamics

We present a general model of qubit dynamics which entails pure dephasing and dissipative time-local master equations. This allows us to describe the combined effect of thermalisation and dephasing beyond the usual Markovian approximation. We investigate the complete positivity conditions and introduce a heuristic model that is always physical and provides the correct Markovian limit. We study the effects of temperature on the non-Markovian behaviour of the system and show that the noise additivity property discussed by Yu and Eberly in Ref. [1] holds beyond the Markovian limit.

preprint2015arXivOpen access
Juho LankinenHenri LyyraBoris SokolovJose TeittinenBabak ZiaeiSabrina Maniscalco
quant-ph
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Open access6 authors1 topic
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Juho LankinenHenri LyyraBoris SokolovJose TeittinenBabak ZiaeiSabrina Maniscalco

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