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Phys. Rev. A 80, 033840 (2009) [13 pages]

Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing

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Mankei Tsang*
Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

See Also: Publisher's Note

Received 29 June 2009; published 28 September 2009; publisher error corrected 30 September 2009

Classical and quantum theories of time-symmetric smoothing, which can be used to optimally estimate wave forms in classical and quantum systems, are derived using a discrete-time approach, and the similarities between the two theories are emphasized. Application of the quantum theory to homodyne phase-locked loop design for phase estimation with narrowband squeezed optical beams is studied. The relation between the proposed theory and weak value theory of Aharonov et al. is also explored.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.033840
DOI:
10.1103/PhysRevA.80.033840
PACS:
03.65.Ta, 03.65.Yz, 42.50.Dv

*mankei@mit.edu

See Also

Publisher's Note: Mankei Tsang, Publisher's Note: Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing [Phys. Rev. A 80, 033840 (2009)], Phys. Rev. A 80, 049902 (2009).

See Also: Mankei Tsang, Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing. II. Applications to atomic magnetometry and Hardy’s paradox, Phys. Rev. A 81, 013824 (2010).