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Physical Review A

Publisher's Note: Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing [Phys. Rev. A80, 033840 (2009)]

Mankei Tsang

Published Oct 6, 2009• 4 citations
Publisher
DOI
10.1103/physreva.80.049902

Related papers

Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing. II. Applications to atomic magnetometry and Hardy’s paradox

Mankei Tsang

The time-symmetric quantum smoothing theory [Tsang, Phys. Rev. Lett. 102, 250403 (2009); Phys. Rev. A 80, 033840 (2009)] is extended to account for discrete jumps in the classical random process to be estimated, discrete variables in the quantum system, such as spin, angular momentum, and photon number, and Poisson measurements, such as photon counting. The extended theory is used to model atomic magnetometers and study Hardy's paradox in phase space.

arXiv:0909.2432•Physical Review A•Jan 26, 2010•41 citations

Time-symmetric quantum smoothing: A general theory of optimal quantum sensing

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

Mankei Tsang

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.

arXiv:0906.4133•Physical Review A•Sep 28, 2009•84 citations

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Publisher's Note: Dissipative dynamics of a qubit coupled to a nonlinear oscillator [Phys. Rev. A80, 052331 (2009)]

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Received 1 December 2009DOI:https://doi.org/10.1103/PhysRevA.80.069901©2009 American Physical Society

Physical Review A•Dec 8, 2009•1 citation