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.

Pollock F.A., Rodriguez-Rosario C., Frauenheim T., Paternostro M., Modi K. (2018). Operational Markov Condition for Quantum Processes. PHYSICAL REVIEW LETTERS, 120(4) [10.1103/PhysRevLett.120.040405].

Operational Markov Condition for Quantum Processes

Paternostro M.
Co-ultimo
Conceptualization
;
2018-01-25

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.
25-gen-2018
Settore FIS/03 - Fisica Della Materia
Pollock F.A., Rodriguez-Rosario C., Frauenheim T., Paternostro M., Modi K. (2018). Operational Markov Condition for Quantum Processes. PHYSICAL REVIEW LETTERS, 120(4) [10.1103/PhysRevLett.120.040405].
File in questo prodotto:
File Dimensione Formato  
PhysRevLett.120.040405.pdf

Solo gestori archvio

Descrizione: articolo in rivista
Tipologia: Versione Editoriale
Dimensione 205.77 kB
Formato Adobe PDF
205.77 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/631234
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 156
  • ???jsp.display-item.citation.isi??? 152
social impact