Useful Multiparticle Entanglement and Sub-Shot-Noise Sensitivity in Experimental Phase Estimation

Roland Krischek, Christian Schwemmer, Witlef Wieczorek, Harald Weinfurter, Philipp Hyllus, Luca Pezzé, and Augusto Smerzi
Phys. Rev. Lett. 107, 080504 – Published 19 August 2011
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Abstract

We experimentally demonstrate a general criterion to identify entangled states useful for the estimation of an unknown phase shift with a sensitivity higher than the shot-noise limit. We show how to exploit this entanglement on the examples of a maximum likelihood as well as of a Bayesian phase estimation protocol. Using an entangled four-photon state we achieve a phase sensitivity clearly beyond the shot-noise limit. Our detailed comparison of methods and quantum states for entanglement enhanced metrology reveals the connection between multiparticle entanglement and sub-shot-noise uncertainty, both in a frequentist and in a Bayesian phase estimation setting.

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  • Received 12 March 2011

DOI:https://doi.org/10.1103/PhysRevLett.107.080504

© 2011 American Physical Society

Authors & Affiliations

Roland Krischek1,2, Christian Schwemmer1,2, Witlef Wieczorek1,2,*, Harald Weinfurter1,2, Philipp Hyllus3,†, Luca Pezzé4, and Augusto Smerzi3

  • 1Fakultät für Physik, Ludwig-Maximilians Universität München, D-80799 München, Germany
  • 2Max-Planck Institut für Quantenoptik, Hans-Kopfermann Strasse 1, D-85748 Garching, Germany
  • 3INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento, I-38123 Povo, Italy
  • 4Laboratoire Charles Fabry UMR 8501, Institut d’Optique, CNRS, Université Paris Sud 11, 2 Avenue Fresnel, 91127 Palaiseau cedex, France

  • *Present address: Vienna Center for Quantum Science and Technology, Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria.
  • Present address: Department of Theoretical Physics, The University of the Basque Country, P.O. Box 644, E-48080 Bilbao, Spain.

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Issue

Vol. 107, Iss. 8 — 19 August 2011

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