Optimal probabilistic measurement of phase
Petr Marek · Physical Review A · 2013
When measuring the phase of quantum states of light, the optimal single-shot measurement implements a projection on the unphysical phase states. If we want to improve the precision further we need to accept a reduced probability of success, either by implementing a probabilistic measurement or by probabilistically manipulating the measured quantum state by means of noiseless amplification. We analyze the limits of this approach by finding the optimal probabilistic measurement that, for a given rate of success, maximizes the precision with which the phase can be measured.