Related papers: Universal constraint for relaxation rates of semigroups of qubit Schwarz maps

Universal constraint for relaxation rates of semigroups of qubit Schwarz maps

URL: http://arxiv.org/abs/2401.05051v1
Date: Wed, 10 Jan 2024 10:21:21 GMT
Title: Universal constraint for relaxation rates of semigroups of qubit Schwarz maps
Authors: Dariusz Chru\'sci\'nski, Gen Kimura, Farrukh Mukhamedov
Abstract summary: Unital qubit Schwarz maps interpolate between positive and completely positive maps. It provides a universal constraint for the spectra of qubit Schwarz maps and gives rise to a necessary condition for a Schwarz qubit map to be Markovian.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Unital qubit Schwarz maps interpolate between positive and completely positive maps. It is shown that relaxation rates of qubit semigroups of unital maps enjoying Schwarz property satisfy the universal constraint which provides a modification of the corresponding constraint known for completely positive semigroups. As an illustration we consider two paradigmatic qubit semigroups: Pauli dynamical maps and phase covariant dynamics. This result has two interesting implications: it provides a universal constraint for the spectra of qubit Schwarz maps and gives rise to a necessary condition for a Schwarz qubit map to be Markovian.

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