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Phys. Rev. Lett. 104, 093601 (2010) [4 pages]

Adaptive Optical Phase Estimation Using Time-Symmetric Quantum Smoothing

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T. A. Wheatley1,2,3, D. W. Berry4, H. Yonezawa3, D. Nakane3, H. Arao3, D. T. Pope5, T. C. Ralph1,6,*, H. M. Wiseman1,7,†, A. Furusawa3,‡, and E. H. Huntington1,2,§
1Centre for Quantum Computer Technology, Australian Research Council
2School of Engineering and Information Technology, University College, The University of New South Wales, Canberra 2600, ACT, Australia
3Department of Applied Physics and Quantum Phase Electronics Center, School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
4Institute for Quantum Computing, University of Waterloo, Waterloo, ON, Canada
5Perimeter Institute for Theoretical Physics, 31 Caroline Street N, Waterloo, ON N2L 2Y5, Canada
6Department of Physics, University of Queensland, Brisbane 4072, QLD, Australia
7Centre for Quantum Dynamics, Griffith University, Brisbane 4111, QLD, Australia

Received 6 December 2009; published 3 March 2010

See accompanying Physics Synopsis

Quantum parameter estimation has many applications, from gravitational wave detection to quantum key distribution. The most commonly used technique for this type of estimation is quantum filtering, using only past observations. We present the first experimental demonstration of quantum smoothing, a time-symmetric technique that uses past and future observations, for quantum parameter estimation. We consider both adaptive and nonadaptive quantum smoothing, and show that both are better than their filtered counterparts. For the problem of estimating a stochastically varying phase shift on a coherent beam, our theory predicts that adaptive quantum smoothing (the best scheme) gives an estimate with a mean-square error up to 2√2 times smaller than nonadaptive filtering (the standard quantum limit). The experimentally measured improvement is 2.24±0.14.

© 2010 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.104.093601
DOI:
10.1103/PhysRevLett.104.093601
PACS:
42.50.Dv, 03.65.Ta, 03.67.-a, 42.50.Xa

*ralph@physics.uq.edu.au

h.wiseman@griffith.edu.au

akiraf@ap.t.u-tokyo.ac.jp

§e.huntington@adfa.edu.au