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dc.contributor.authorFattah Sakuldeeen_US
dc.contributor.authorSimon Milzen_US
dc.contributor.authorFelix A. Pollocken_US
dc.contributor.authorKavan Modien_US
dc.contributor.otherMonash Universityen_US
dc.contributor.otherMahidol Universityen_US
dc.identifier.citationJournal of Physics A: Mathematical and Theoretical. Vol.51, No.41 (2018)en_US
dc.description.abstract© 2018 IOP Publishing Ltd. We develop a notion of stochastic quantum trajectories. First, we construct a basis set of trajectories, called elementary trajectories, and go on to show that any quantum dynamical process, including those that are non-Markovian, can be expressed as a linear combination of this set. We then show that the set of processes divide into two natural classes: those that can be expressed as a convex mixture of elementary trajectories and those that cannot be. The former are shown to be entanglement breaking processes (in each step), while the latter are dubbed coherent processes. This division of processes is analogous to separable and entangled states. In the second half of the paper, we show, with an information theoretic game, that when a process is non-Markovian, coherent trajectories allow for decoupling from the environment while preserving arbitrary quantum information encoded into the system. We give explicit expressions for the temporal correlations (quantifying non-Markovianity) and show that, in general, there are more quantum correlations than classical ones. This shows that non-Markovian quantum processes are indeed fundamentally different from their classical counterparts. Furthermore, we demonstrate how coherent trajectories (with the aid of coherent control) could turn non-Markovianity into a resource. In the final section of the paper we explore this phenomenon in a geometric picture with a convenient set of basis trajectories.en_US
dc.rightsMahidol Universityen_US
dc.subjectPhysics and Astronomyen_US
dc.titleNon-Markovian quantum control as coherent stochastic trajectoriesen_US
Appears in Collections:Scopus 2018

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