On the degree of non-Markovianity of quantum evolution
Abstract
We propose a new characterization of non-Markovian quantum evolution based on the concept of non-Markovianity degree. It provides an analog of a Schmidt number in the entanglement theory and reveals the formal analogy between quantum evolution and the entanglement theory: Markovian evolution corresponds to a separable state and non-Markovian one is further characterized by its degree. It enables one to introduce a non-Markovinity witness -- an analog of an entanglement witness -- and a family of measures -- an analog of Schmidt coefficients -- and finally to characterize maximally non-Markovian evolution being an analog of maximally entangled state. Our approach allows to classify the non-Markovianity measures introduced so far in a unified rigorous mathematical framework.
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Cite
@article{arxiv.1311.4213,
title = {On the degree of non-Markovianity of quantum evolution},
author = {Dariusz Chruściński and Sabrina Maniscalco},
journal= {arXiv preprint arXiv:1311.4213},
year = {2014}
}
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5 pages