Quantum dynamical semigroup

Summary

A quantum dynamical semigroup, or quantum Markov semigroup, is a continuous one-parameter family of quantum channels $(T_t)_{t \ge 0}$ with $T_0 = \id$ and $T_{s+t} = T_s T_t$. It models the time evolution of an open quantum system without memory, the quantum analogue of a Markov process. Its generator has a standard form, given by the Gorini–Kossakowski–Sudarshan–Lindblad theorem in the norm-continuous case.