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Quantum metrology from an information theory perspective

Boixo, Sergio and Datta, Animesh and Davis, Matthew J. and Flammia, Steven T. and Shaji, Anil and Tacla, Alexandre B. and Caves, Carlton M. (2009) Quantum metrology from an information theory perspective. In: Quantum Communication, Measurement And Computing (QCMC): Ninth International Conference on QCMC Calgary (Canada), 19–24 August 2008. AIP Conference Proceedings. No.1110. American Institute of Physics , New York, NY, pp. 427-432. ISBN 978-0-7354-0647-6.

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Questions about quantum limits on measurement precision were once viewed from the perspective of how to reduce or avoid the effects of quantum noise. With the advent of quantum information science came a paradigm shift to proving rigorous bounds on measurement precision. These bounds have been interpreted as saying, first, that the best achievable sensitivity scales as 1/n, where n is the number of particles one has available for a measurement and, second, that the only way to achieve this Heisenberg-limited sensitivity is to use quantum entanglement. We review these results and show that using quadratic couplings of n particles to a parameter to be estimated, one can achieve sensitivities that scale as 1/n^2 if one uses entanglement, but even in the absence of any entanglement at any time during the measurement protocol, one can achieve a super-Heisenberg scaling of 1/n^(3/2)

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Additional Information:© 2009 American Institute of Physics. Issue Date: 13 April 2009. This work was supported in part by the US Office of Naval Research (Grant No. N00014-07-1-0304), the Australian Research Council's Discovery Projects funding scheme (Project No. DP0343094), EPSRC Grant No. EP/C546237/1, and the NSF under grant PHY-0803371. STF was supported by the Perimeter Institute for Theoretical Physics; research at Perimeter is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research & Innovation.
Funding AgencyGrant Number
U. S. Office of Naval ResearchN00014-07-1-0304
Australian Research CouncilProject No. DP0343094
Perimeter Institute for Theoretical PhysicsUNSPECIFIED
Government of Canada through Industry CanadaUNSPECIFIED
Province of Ontario through the Ministry of Research & InnovationUNSPECIFIED
Subject Keywords:quantum metrology; nonlinear interferometry; Bose-Einstein condensate
Series Name:AIP Conference Proceedings
Issue or Number:1110
Classification Code:PACS: 03.65.Ta, 03.75.Nt, 03.65.-w, 03.75.Mn
Record Number:CaltechAUTHORS:20100511-100311769
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Official Citation:Quantum metrology from an information theory perspective Sergio Boixo, Animesh Datta, Matthew J. Davis, Steven T. Flammia, Anil Shaji, Alexandre B. Tacla, and Carlton M. Caves, AIP Conf. Proc. 1110, 427 (2009), DOI:10.1063/1.3131367
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:18234
Deposited By: Jason Perez
Deposited On:24 Jun 2010 18:40
Last Modified:03 Oct 2019 01:39

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