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Time-Symmetric Quantum Theory of Smoothing

Author(s)
Tsang, Mankei
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Abstract
Smoothing is an estimation technique that takes into account both past and future observations and can be more accurate than filtering alone. In this Letter, a quantum theory of smoothing is constructed using a time-symmetric formalism, thereby generalizing prior work on classical and quantum filtering, retrodiction, and smoothing. The proposed theory solves the important problem of optimally estimating classical Markov processes coupled to a quantum system under continuous measurements, and is thus expected to find major applications in future quantum sensing systems, such as gravitational wave detectors and atomic magnetometers.
Date issued
2009-06
URI
http://hdl.handle.net/1721.1/51032
Department
Massachusetts Institute of Technology. Research Laboratory of Electronics
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Tsang, Mankei . “Time-Symmetric Quantum Theory of Smoothing.” Physical Review Letters 102.25 (2009): 250403. (C) 2010 The American Physical Society.
Version: Final published version
ISSN
0031-9007

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