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

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 pha...

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Main Author: Tsang, Mankei
Other Authors: Massachusetts Institute of Technology. Research Laboratory of Electronics
Format: Article
Language:en_US
Published: American Physical Society 2010
Online Access:http://hdl.handle.net/1721.1/51035
https://orcid.org/0000-0001-7173-1239
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author Tsang, Mankei
author2 Massachusetts Institute of Technology. Research Laboratory of Electronics
author_facet Massachusetts Institute of Technology. Research Laboratory of Electronics
Tsang, Mankei
author_sort Tsang, Mankei
collection MIT
description 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.
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spelling mit-1721.1/510352022-09-30T18:15:29Z Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing Tsang, Mankei Massachusetts Institute of Technology. Research Laboratory of Electronics Tsang, Mankei Tsang, Mankei 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. W. M. Keck Foundation Center for Extreme Quantum Information Theory 2010-01-29T18:24:07Z 2010-01-29T18:24:07Z 2009-09 2009-06 Article http://purl.org/eprint/type/JournalArticle 1094-1622 1050-2947 http://hdl.handle.net/1721.1/51035 Tsang, Mankei . “Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing.” Physical Review A 80.3 (2009): 033840. (C) 2010 The American Physical Society. https://orcid.org/0000-0001-7173-1239 en_US http://dx.doi.org/10.1103/PhysRevA.80.033840 Physical Review A Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS
spellingShingle Tsang, Mankei
Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing
title Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing
title_full Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing
title_fullStr Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing
title_full_unstemmed Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing
title_short Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing
title_sort optimal waveform estimation for classical and quantum systems via time symmetric smoothing
url http://hdl.handle.net/1721.1/51035
https://orcid.org/0000-0001-7173-1239
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