Davies maps for qubits and qutrits

Details Davies maps for qubits and qutrits Davies maps for qubits and qutrits

2009-11-30

arxiv.org/abs/0911.5607v2

Reports on Mathematical Physics, 66, 311-329 (2010)

Physics

Quantum Physics

22 pages, 4 figures

Scientific paper

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.

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