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

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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 languageEnglish
Article number103049
JournalNew Journal of Physics
Volume18
Issue number10
DOIs
Publication statusPublished - 1 Oct 2016

Keywords

  • probabilistic maps
  • quantum information
  • quantum metrology
  • quantum statistical inference

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