General Framework for the Behaviour of Continuously Observed Open Quantum Systems

Abstract

We develop the general quantum stochastic approach to the description of quantum measurements continuous in time. The framework, that we introduce, encompasses the various particular models for continuous-time measurements condsidered previously in the physical and the mathematical literature.

30 pages, no figures

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• A perturbative approach to non-Markovian stochastic Schrödinger equations
• Non-Markovian quantum trajectories, instruments and time-continuous measurements
• Continuous quantum measurement for general Gaussian unravelings can exist
• On relations between probabilities under quantum and classical measurements
• General Probabilistic Framework of Randomness
• Conclusive discrimination by $N$ sequential receivers between $r\ge 2$ arbitrary quantum states