Decomposable dynamics on matrix algebras
Quantum Physics
2024-11-05 v1 Mathematical Physics
math.MP
Abstract
We explore a notion of decomposably divisible (D-divisible) quantum evolution families, recently introduced in J. Phys. A: Math. Theor. 56, 485202 (2023). Both necessary and sufficient conditions are presented for highly-symmetric qubit and qudit dynamical maps. Through a restructurization of the evolution generators, we encode the decomposable divisibility into the positivity of time-dependent coefficients that multiply generators of D-divisible dynamical maps. This provides an analogy to the CP-divisibility property, which is equivalent to the positivity of decoherence rates that multiply Markovian semigroup generators.
Cite
@article{arxiv.2411.01712,
title = {Decomposable dynamics on matrix algebras},
author = {Katarzyna Siudzińska and Krzysztof Szczygielski},
journal= {arXiv preprint arXiv:2411.01712},
year = {2024}
}