Quantifying Non-Markovianity in Open Quantum Dynamics
- URL: http://arxiv.org/abs/2205.05970v2
- Date: Fri, 22 Jul 2022 03:27:49 GMT
- Title: Quantifying Non-Markovianity in Open Quantum Dynamics
- Authors: Chu Guo
- Abstract summary: characterization of non-Markovian open quantum dynamics is both of theoretical and practical relevance.
We propose two non-Markovianity measures for general open quantum dynamics, which are fully reconciled with the Markovian limit.
A reconstruction algorithm is proposed, whose complexity is directly related to the proposed non-Markovianity measures.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Characterization of non-Markovian open quantum dynamics is both of
theoretical and practical relevance. In a seminal work [Phys. Rev. Lett. 120,
040405 (2018)], a necessary and sufficient quantum Markov condition is
proposed, with a clear operational interpretation and correspondence with the
classical limit. Here we propose two non-Markovianity measures for general open
quantum dynamics, which are fully reconciled with the Markovian limit and can
be efficiently calculated based on the multi-time quantum measurements of the
system. A heuristic algorithm for reconstructing the underlying open quantum
dynamics is proposed, whose complexity is directly related to the proposed
non-Markovianity measures. The non-Markovianity measures and the reconstruction
algorithm are demonstrated with numerical examples, together with a careful
reexamination of the non-Markovianity in quantum dephasing dynamics.
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