Entropic and trace distance based measures of non-Markovianity
- URL: http://arxiv.org/abs/2207.13183v1
- Date: Tue, 26 Jul 2022 21:16:33 GMT
- Title: Entropic and trace distance based measures of non-Markovianity
- Authors: Federico Settimo, Heinz-Peter Breuer and Bassano Vacchini
- Abstract summary: We analyze and compare measures for the degree of non-Markovianity in the dynamics of open quantum systems.
We explicitly construct a qubit dynamics for which the trace norm based non-Markovianity measure is nonzero.
This leads to the surprising conclusion that the non-Markovianity measure which employs the trace norm of the Helstrom matrix is strictly stronger than all entropic non-Markovianity measures.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We analyze and compare different measures for the degree of non-Markovianity
in the dynamics of open quantum systems. These measures are based on the
distinguishability of quantum states which is quantified, on the one hand, by
the trace distance or, more generally, by the trace norm of the Helstrom
matrix, and, on the other hand, by entropic quantifiers: the Jensen-Shannon
divergence, the Holevo or the quantum skew divergence. We explicitly construct
a qubit dynamics for which the trace norm based non-Markovianity measure is
nonzero, while all the entropic measures turn out to be zero. This leads to the
surprising conclusion that the non-Markovianity measure which employs the trace
norm of the Helstrom matrix is strictly stronger than all entropic
non-Markovianity measures.
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