Time-Symmetric Quantum Theory of Smoothing

Details Time-Symmetric Quantum Theory of Smoothing Time-Symmetric Quantum Theory of Smoothing

2009-04-13

arxiv.org/abs/0904.1969v2

Physical Review Letters 102, 250403 (2009)

Physics

Quantum Physics

4 pages, 1 figure, v2: accepted by PRL

Scientific paper

10.1103/PhysRevLett.102.250403

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.

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