Completely Positive Divisibility Does Not Mean Markovianity

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

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)

Abstract

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
Volume123
Issue number4
DOIs
Publication statusPublished - 22 Jul 2019

Cite this

@article{483e9bc764be4ecaa955f5acfe7a6d7a,
title = "Completely Positive Divisibility Does Not Mean Markovianity",
abstract = "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.",
author = "Simon Milz and Kim, {M. S.} and Pollock, {Felix A.} and Kavan Modi",
year = "2019",
month = "7",
day = "22",
doi = "10.1103/PhysRevLett.123.040401",
language = "English",
volume = "123",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "APS",
number = "4",

}

Completely Positive Divisibility Does Not Mean Markovianity. / Milz, Simon; Kim, M. S.; Pollock, Felix A.; Modi, Kavan.

In: Physical Review Letters, Vol. 123, No. 4, 040401, 22.07.2019.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Completely Positive Divisibility Does Not Mean Markovianity

AU - Milz, Simon

AU - Kim, M. S.

AU - Pollock, Felix A.

AU - Modi, Kavan

PY - 2019/7/22

Y1 - 2019/7/22

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85069964973&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.123.040401

DO - 10.1103/PhysRevLett.123.040401

M3 - Article

AN - SCOPUS:85069964973

VL - 123

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 4

M1 - 040401

ER -