Time-Symmetric Quantum Theory of Smoothing
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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.
DepartmentMassachusetts Institute of Technology. Research Laboratory of Electronics
Physical Review Letters
American Physical Society
Tsang, Mankei . “Time-Symmetric Quantum Theory of Smoothing.” Physical Review Letters 102.25 (2009): 250403. (C) 2010 The American Physical Society.
Final published version