A smoothing theory for open quantum systems: The least mean square approach
arXiv:2112.13330 · doi:10.1109/CDC.2015.7402898
Abstract
Unlike the classical smoothing theory, it is well known that quantum smoothers are, in general, not well--defined by the quantum conditional expectation. The purpose of this paper is to propose a new quantum smoothing theory based on the least mean squared errors. The least mean square estimate of quantum physical quantity composes from symmetric part and skew part, and we developed the recursive equations, respectively.
6 pages. See also Ohki "An invitation to quantum filtering and smoothing theory based on two inner products," RIMS Kokyuroku, No. 2018, pp. 18-44 (2017), (http://hdl.handle.net/2433/231710), as a reference
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