Quantum Markov processes are mathematical models that describe the evolution of quantum systems over time, where the future state of the system depends only on its present state and not on its past states. This property, known as the Markov property, allows for simplified analysis of complex quantum dynamics, making it easier to study interactions in quantum mechanics. These processes are essential in various fields, including quantum information theory and quantum optics, as they help in understanding phenomena like quantum entanglement and quantum decoherence. By applying the principles of Markov chains to quantum systems, researchers can explore how information is transferred and transformed in quantum environments.