Phase-sensitivity bounds for two-mode interferometers

Year: 2015

Authors: Pezze L., Hyllus P., Smerzi A.

Autors Affiliation: INO CNR, QSTAR, I-50125 Florence, Italy; LENS, I-50125 Florence, Italy; Univ Basque Country EHU UPV, Dept Theoret Phys, E-48080 Bilbao, Spain.

Abstract: We provide general bounds of phase estimation sensitivity in linear two-mode interferometers. We consider probe states with a fluctuating total number of particles. With incoherent mixtures of states with different total number of particles, particle entanglement is necessary but not sufficient to overcome the shot noise limit. The highest possible phase estimation sensitivity, the Heisenberg limit, is established under general unbiased properties of the estimator. If coherences can be created, manipulated, and detected, the Heisenberg limit can only be set in the central limit, with a sufficiently large repetition of interferometric measurements.

Journal/Review: PHYSICAL REVIEW A

Volume: 91 (3)      Pages from: 32103-1  to: 32103-15

More Information: We thank R. Demkowicz-Dobrzanski for discussions. L.P. acknowledges support by MIUR through FIRB Project No. RBFR08H058. P.H. acknowledges the support of the ERC starting grant GEDENTQOPT and the EU project QUASAR. This work has been supported by the Seventh Framework Programme for Research of the European Commission, under FET-Open grant QIBEC (No. 284584).
KeyWords: Lossless Beam Splitter; Su(2) Symmetry; Quantum Limits; Entanglement; States; Noise; Statistics
DOI: 10.1103/PhysRevA.91.032103

Citations: 40
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