Degree of non-markovianity of quantum evolution

Dariusz Chruscinski, Sabrina Maniscalco

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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 the non-Markovian one is further characterized by its degree. It enables one to introduce a non-Markovianity 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 the maximally entangled state. Our approach allows us to classify the non-Markovianity measures introduced so far in a unified rigorous mathematical framework.

Original languageEnglish
Article number120404
Number of pages5
JournalPhysical Review Letters
Volume112
Issue number12
DOIs
Publication statusPublished - 26 Mar 2014

Keywords

  • REDUCED DYNAMICS NEED
  • SEMIGROUPS

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