Probabilistic metrology or how some measurement outcomes render ultra-precise estimates

J. Calsamiglia; B. Gendra; R. Muñoz-Tapia; E. Bagan

doi:10.1088/1367-2630/18/10/103049

Probabilistic metrology or how some measurement outcomes render ultra-precise estimates

J. Calsamiglia, B. Gendra, R. Muñoz-Tapia, E. Bagan

Research output: Contribution to journal › Article › Research › peer-review

3 Citations (Scopus)

Abstract

© 2016 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. We show on theoretical grounds that, even in the presence of noise, probabilistic measurement strategies (which have a certain probability of failure or abstention) can provide, upon a heralded successful outcome, estimates with a precision that exceeds the deterministic bounds for the average precision. This establishes a new ultimate bound on the phase estimation precision of particular measurement outcomes (or sequence of outcomes). For probe systems subject to local dephasing, we quantify such precision limit as a function of the probability of failure that can be tolerated. Our results show that the possibility of abstaining can set back the detrimental effects of noise.

Original language	English
Article number	103049
Journal	New Journal of Physics
Volume	18
Issue number	10
DOIs	https://doi.org/10.1088/1367-2630/18/10/103049
Publication status	Published - 1 Oct 2016

Keywords

probabilistic maps
quantum information
quantum metrology
quantum statistical inference

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