Advancement of estimation fidelity in continuous quantum measurement
Abstract
We estimate an unknown qubit from the long sequence of n random polarization measurements of precision Delta. Using the standard Ito-stochastic equations of the aposteriori state in the continuous measurement limit we calculate the advancement of fidelity. We show that the standard optimum value 2/3 is achieved asymptotically for n >> Delta2 / 96 >> 1. We append a brief derivation of novel Ito-equations for the estimate state.
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