Noninvertibility and non-Markovianity of quantum dynamical maps
- URL: http://arxiv.org/abs/2306.12773v2
- Date: Sat, 14 Oct 2023 09:58:29 GMT
- Title: Noninvertibility and non-Markovianity of quantum dynamical maps
- Authors: Vinayak Jagadish, R. Srikanth and Francesco Petruccione
- Abstract summary: We study the production of (non-)Markovian, invertible maps by the process of mixing noninvertible Pauli maps.
We consider a related and potentially helpful issue: the identification of criteria of parameterized families of maps leading to the existence of a well-defined semigroup limit.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We identify two broad types of noninvertibilities in quantum dynamical maps,
one necessarily associated with CP indivisibility and one not so. We study the
production of (non-)Markovian, invertible maps by the process of mixing
noninvertible Pauli maps, and quantify the fraction of the same. The memory
kernel perspective appears to be less transparent on the issue of invertibility
than the approaches based on maps or master equations. Here we consider a
related and potentially helpful issue: the identification of criteria of
parameterized families of maps leading to the existence of a well-defined
semigroup limit.
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