A smoothing theory for open quantum systems: The least mean square approach
Quantum Physics
2021-12-28 v1 Optimization and Control
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.
Keywords
Cite
@article{arxiv.2112.13330,
title = {A smoothing theory for open quantum systems: The least mean square approach},
author = {Kentaro Ohki},
journal= {arXiv preprint arXiv:2112.13330},
year = {2021}
}
Comments
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