A **Quantum Markov semigroup** is a mathematical object used in the study of open quantum systems, where the dynamics of a quantum system are influenced by its interaction with an environment. These semigroups are a generalization of classical Markov processes adapted to the framework of quantum mechanics. ### Key Concepts 1. **Quantum Systems**: In the quantum context, a system is represented by a Hilbert space and is described by a density operator (mixed state) on that space.

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