Phase estimation with two-mode squeezed vacuum and parity detection: Bayesian analysis

Details Phase estimation with two-mode squeezed vacuum and parity detection: Bayesian analysis Phase estimation with two-mode squeezed vacuum and parity detection: Bayesian analysis

2011-10-07

arxiv.org/abs/1110.1587v2

Physics

Quantum Physics

11 pages, 12 figures

Scientific paper

A recently proposed phase-estimation protocol that is based on measuring the parity of a two-mode squeezed vacuum state at the output of a Mach-Zehnder interferometer shows that sub-Heisenberg sensitivity is obtained (PM Anisimov et al, PRL 104, 103602 2010). This protocol works in the case of infinite number of parity measurements. Here we consider the use of photon-number-resolving detectors to measure parity and we use Bayesian analysis to characterize the performance of the phase estimation in such a scheme but with finite number of measurements. We have found that phase estimation has non-zero bias at 0 or {\pi}/2 phase. Yet there is an in-between region where the bias is negligible. Our phase estimation scheme beats the Heisenberg limit and saturates the Cramer-Rao bound.

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