The quantum state conditioned on time-averaged measurement records is updated exactly by a Gaussian-averaged tilted-Liouvillian superoperator, which can be expanded to arbitrary order in sqrt(Delta t).
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Time-averaged continuous quantum measurement
The quantum state conditioned on time-averaged measurement records is updated exactly by a Gaussian-averaged tilted-Liouvillian superoperator, which can be expanded to arbitrary order in sqrt(Delta t).