Completely positive divisibility does not mean markovianity

Simon Milz, M. S. Kim, Felix A. Pollock, Kavan Modi

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76 Citations (Scopus)


In the classical domain, it is well known that divisibility does not imply that a stochastic process is Markovian. However, for quantum processes, divisibility is often considered to be synonymous with Markovianity. We show that completely positive divisible quantum processes can still involve non-Markovian temporal correlations, that we then fully classify using the recently developed process tensor formalism, which generalizes the theory of stochastic processes to the quantum domain.

Original languageEnglish
Article number040401
Number of pages6
JournalPhysical Review Letters
Issue number4
Publication statusPublished - 22 Jul 2019

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