Davies maps for qubits and qutrits
Quantum Physics
2015-05-14 v2
Abstract
We investigate the dynamics of an N -level quantum system weakly coupled to a thermal reservoir. For any fixed temperature of the bath there exists a natural reference state: the equilibrium state of the system. Among all quantum operations on the system one distinguishes Davies maps, they pre- serve the equilibrium state, satisfy the detailed balance condition and belong to a semi-group. A complete characterization of the three dimensional set of qubit Davies maps is given. We analyze these maps and find their mini- mum output entropy. A characterization of Davies maps for qutrits is also provided.
Cite
@article{arxiv.0911.5607,
title = {Davies maps for qubits and qutrits},
author = {Wojciech Roga and Mark Fannes and Karol Zyczkowski},
journal= {arXiv preprint arXiv:0911.5607},
year = {2015}
}
Comments
22 pages, 4 figures