Operational Markov Condition for Quantum Processes

Felix A. Pollock, César Rodríguez-Rosario, Thomas Frauenheim, Mauro Paternostro, Kavan Modi

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Abstract

We derive a necessary and sufficient condition for a quantum process to be Markovian which coincides with the classical one in the relevant limit. Our condition unifies all previously known definitions for quantum Markov processes by accounting for all potentially detectable memory effects. We then derive a family of measures of non-Markovianity with clear operational interpretations, such as the size of the memory required to simulate a process or the experimental falsifiability of a Markovian hypothesis.

Original languageEnglish
Article number040405
Number of pages6
JournalPhysical Review Letters
Volume120
Issue number4
DOIs
Publication statusPublished - 25 Jan 2018

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