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

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

2009-06-22

arxiv.org/abs/0906.4133v2

Physical Review A 80, 033840 (2009)

Physics

Quantum Physics

13 pages, 5 figures, v2: changed the title to a more descriptive one, corrected a minor mistake in Sec. IV, accepted by Physic

Scientific paper

10.1103/PhysRevA.80.033840

Classical and quantum theories of time-symmetric smoothing, which can be used to optimally estimate waveforms 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 Aharonov et al.'s weak value theory is also explored.

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