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Alternative measures of uncertainty in quantum metrology: contradictions and limits

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Luis Aina, Alfredo and Rodil, Alfonso (2013) Alternative measures of uncertainty in quantum metrology: contradictions and limits. Physical review A, 87 (3). 034101/1-034101/4. ISSN 1050-2947

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Official URL: http://dx.doi.org/10.1103/PhysRevA.87.034101


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http://journals.aps.org/Publisher


Abstract

We examine a family of intrinsic performance measures in terms of probability distributions that generalize Hellinger distance and Fisher information. They are applied to quantum metrology to assess the uncertainty in the detection of minute changes of physical quantities. We show that different measures lead to contradictory conclusions, including the possibility of arbitrarily small uncertainty for fixed resources. These intrinsic performances are compared with the averaged error in the corresponding estimation problem after single-shot measurements.


Item Type:Article
Additional Information:

©2013 American Physical Society.
A.L. acknowledges support from Projects No. FIS2012-35583 of the Spanish Ministerio de Economia y Competitividad, and No. QUITEMAD S2009-ESP-1594 of the Comunidad de Madrid.

Uncontrolled Keywords:Entropic uncertainty; Phase measurement; Complementary observables; Optical-phase; Information; Standard; Statistics; Mechanics; Principle; Geometry
Subjects:Sciences > Physics > Optics
ID Code:30299
Deposited On:22 May 2015 13:22
Last Modified:22 May 2015 13:22

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