Universal constraint for relaxation rates of semigroups of qubit Schwarz maps

Autor:	Chruściński, Dariusz, Kimura, Gen, Mukhamedov, Farrukh
Rok vydání:	2024
Předmět:	Quantum Physics Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	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. Comment: 16 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.05051 Zobrazit plný text záznamu View this record from Arxiv