Fault tolerant quantum filtering and fault detection for quantum systems

• Qing Gao ^[1] ; Daoyi Dong ^[1] ; Ian R. Petersen ^[1]
  1. [1] University of New South Wales, Australia
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 71, 2016, págs. 125-134
• Idioma: inglés
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• Resumen

  • 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.