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arXiv · 1504.06780

Fault Tolerant Quantum Filtering and Fault Detection for Quantum Systems

Qing Gao·Daoyi Dong·Ian R. Petersen
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Abstract

This paper aims to determine the fault tolerant quantum filter and fault detection equation for a class of open quantum systems coupled to a laser field that is subject to stochastic faults. In order to analyze this class of open quantum systems, we propose a quantum-classical Bayesian inference method based on the definition of a so-called quantum-classical conditional expectation. It is shown that the proposed Bayesian inference approach provides a convenient tool to simultaneously derive the fault tolerant quantum filter and the fault detection equation for this class of open quantum systems. An example of two-level open quantum systems subject to Poisson-type faults is presented to illustrate the proposed method. These results have the potential to lead to a new fault tolerant control theory for quantum systems.

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Qing Gao, Daoyi Dong, Ian R. Petersen. 2015-12-21. Fault Tolerant Quantum Filtering and Fault Detection for Quantum Systems. https://doi.org/10.1016/j.automatica.2016.04.045

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