State estimation of a quantum cavity driven by vacuum state
One of the platforms for implementing quantum technologies is optical systems where the cavity is a major component. Furthermore, state estimation has a significant role in understanding the behavior and control of quantum systems. This paper concerns derivation of quantum-filtering equations for a one-sided cavity driven by the field in the vacuum state. To this end, the number operator has been selected as an appropriate observable for the cavity. Then, filtering equations, namely stochastic master equation, have been derived considering observations which are measured by monitoring the output field either by Homodyne or photon detector. In addition, the effect of changing cavity parameters has been investigated on its behavior. Finally, the accuracy of the result has been validated by simulating the derived stochastic master equations and comparing with the master equation.
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