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Open Quantum Systems Decoherence
On the universal constraints for relaxation rates for quantum dynamical semigroup
arXiv
Authors: Dariusz Chruscinski, Gen Kimura, Andrzej Kossakowski, Yasuhito Shishido
Year
2020
Paper ID
19140
Status
Preprint
Abstract Read
~2 min
Abstract Words
85
Citations
N/A
Abstract
A conjecture for the universal constraints for relaxation rates of a quantum dynamical semigroup is proposed. It is shown that it holds for several interesting classes of semigroups, e.g. unital semigroups and semigroups derived in the weak coupling limit from the proper microscopic model. Moreover, proposed conjecture is supported by numerical analysis. This conjecture has several important implications: it allows to provide universal constraints for spectra of quantum channels and provides necessary condition to decide whether a given channel is consistent with Markovian evolution.
Why This Paper Matters
- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
- It adds a 2020 reference point for readers tracking recent quantum research.
- A conjecture for the universal constraints for relaxation rates of a quantum dynamical semigroup is proposed.
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