Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing
Quantum Physics
2009-09-28 v2
Abstract
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.
Cite
@article{arxiv.0906.4133,
title = {Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing},
author = {Mankei Tsang},
journal= {arXiv preprint arXiv:0906.4133},
year = {2009}
}
Comments
13 pages, 5 figures, v2: changed the title to a more descriptive one, corrected a minor mistake in Sec. IV, accepted by Physical Review A