Davies maps for qubits and qutrits

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.

22 pages, 4 figures

References in corpus (4)

• Assessing non-Markovian dynamics
• Composition of quantum states and dynamical subadditivity
• Incomplete quantum process tomography and principle of maximal entropy
• The bosonic minimum output entropy conjecture and Lagrangian minimization

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