Noninvertibility and non-Markovianity of quantum dynamical maps
arXiv:2306.12773 · doi:10.1103/PhysRevA.108.042202
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.
arXiv comment7 pages, 2 figures
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- Extracting Dynamical Maps of Non-Markovian Open Quantum Systems
- Experimental realization of quantum non-Markovianity through the convex mixing of Pauli semigroups on an NMR quantum processor
- Violation of Diagonal Non-Invasiveness: A Hallmark of Non-Classical Memory Effects
- Efficient and operational quantifier of non-divisibility in terms of channel discrimination