All path-symmetric pure states achieve their maximal phase sensitivity in conventional two-path interferometry

Details All path-symmetric pure states achieve their maximal phase sensitivity in conventional two-path interferometry All path-symmetric pure states achieve their maximal phase sensitivity in conventional two-path interferometry

2008-11-29

arxiv.org/abs/0812.0044v1

Phys. Rev. A 79, 033822 (2009)

Physics

Quantum Physics

4 pages, no figures

Scientific paper

10.1103/PhysRevA.79.033822

It is shown that the condition for achieving the quantum Cramer-Rao bound of phase estimation in conventional two-path interferometers is that the state is symmetric with regard to an (unphysical) exchange of the two paths. Since path symmetry is conserved under phase shifts, the maximal phase sensitivity can be achieved at arbitrary bias phases, indicating that path symmetric states can achieve their quantum Cramer-Rao bound in Bayesian estimates of a completely unknown phase.

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