Assessing non-Markovian dynamics through moments of the Choi state
- URL: http://arxiv.org/abs/2303.03615v3
- Date: Fri, 1 Mar 2024 09:57:47 GMT
- Title: Assessing non-Markovian dynamics through moments of the Choi state
- Authors: Bivas Mallick, Saheli Mukherjee, Ananda G. Maity, and A. S. Majumdar
- Abstract summary: We provide a criterion for witnessing such non-Markovian dynamics exhibiting information backflow, based on the moments of Choi-matrices.
We present some explicit examples in support of our proposed non-Markovianity detection scheme.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Non-Markovian effects in open quantum system dynamics usually manifest
backflow of information from the environment to the system, indicating
complete-positive divisibility breaking of the dynamics. We provide a criterion
for witnessing such non-Markovian dynamics exhibiting information backflow,
based on the moments of Choi-matrices. The moment condition determined by the
positive semi-definiteness of a matrix, does not hold for a Choi-state
describing non-Markovian dynamics. We then present some explicit examples in
support of our proposed non-Markovianity detection scheme. Finally, a moment
based measure of non-Markovianity for unital dynamics is formulated.
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