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The Gisin-Percival stochastic Schrödinger equation from standard quantum filtering theory. (English) Zbl 1386.81108

Summary: We show that the quantum state diffusion equation of Gisin and Percival, driven by complex Wiener noise, is equivalent up to a global stochastic phase to quantum trajectory models. With an appropriate feedback scheme, we set up an analog continuous measurement model which exactly simulates the Gisin-Percival quantum state diffusion.{
©2018 American Institute of Physics}

MSC:

81S25 Quantum stochastic calculus
35R60 PDEs with randomness, stochastic partial differential equations
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
81P15 Quantum measurement theory, state operations, state preparations
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