The Theory of Open Quantum Systems

Last updated Aug 5, 2023

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1. Classical probability theoy and stochastic processes

   • Probability space
   • Random variables
   • Expecation values and characteristic functions
   • Stochastic process
   • Markov process
     • Deterministic Markov process
     • Markov jump process
     • Markov diffusion process
   • Piecewise deterministic processes

2. Quantum probability

   • Statistical interpretation of Quantum mechanics
     • Basics Quantum Mechanics
     • Statistical interpretation of Quantum mechanics
   • Composite Quantum Systems
     • Tensor products of systems
     • Schmidt decomposition and entanglement
   • Quantum entropies
   • Quantum measurements
     • Ideal quantum measurements
     • Generalised quantum measurements