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 language | English |
|---|---|
| Article number | 040401 |
| Number of pages | 6 |
| Journal | Physical Review Letters |
| Volume | 123 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 22 Jul 2019 |
Cite this
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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 journal › Article › Research › peer-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 -