Recovering complete positivity of non-Markovian quantum dynamics with
Choi-proximity regularization
- URL: http://arxiv.org/abs/2309.16320v1
- Date: Thu, 28 Sep 2023 10:29:43 GMT
- Title: Recovering complete positivity of non-Markovian quantum dynamics with
Choi-proximity regularization
- Authors: Antonio D'Abbruzzo and Donato Farina and Vittorio Giovannetti
- Abstract summary: A relevant problem in the theory of open quantum systems is the lack of complete positivity of dynamical maps obtained after weak-coupling approximations.
We propose a numerical method to cure the complete-positivity violation issue while preserving the non-Markovian features of an arbitrary original dynamical map.
- Score: 0.6138671548064355
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: A relevant problem in the theory of open quantum systems is the lack of
complete positivity of dynamical maps obtained after weak-coupling
approximations, a famous example being the Redfield master equation. A number
of approaches exist to recover well-defined evolutions under additional
Markovian assumptions, but much less is known beyond this regime. Here we
propose a numerical method to cure the complete-positivity violation issue
while preserving the non-Markovian features of an arbitrary original dynamical
map. The idea is to replace its unphysical Choi operator with its closest
physical one, mimicking recent work on quantum process tomography. We also show
that the regularized dynamics is more accurate in terms of reproducing the
exact dynamics: this allows to heuristically push the utilization of these
master equations in moderate coupling regimes, where the loss of positivity can
have relevant impact.
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