Phys. Rev. A 80, 033840 (2009) [13 pages]Optimal waveform estimation for classical and quantum systems via time-symmetric smoothingSee 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
See AlsoPublisher'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). |
