Phase-sensitivity bounds for two-mode interferometers
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: 032103-1 to: 032103-15
KeyWords: OSSLESS BEAM SPLITTER; SU(2) SYMMETRY; QUANTUM LIMITS; ENTANGLEMENT; STATES; NOISE; STATISTICSDOI: 10.1103/PhysRevA.91.032103Citations: 26data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2021-10-17References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here