Fault Tolerant Quantum Filtering and Fault Detection for Quantum Systems

TL;DR

This paper develops a Bayesian inference-based method to derive fault tolerant quantum filters and fault detection equations for open quantum systems, enhancing fault tolerance in quantum control.

Contribution

It introduces a quantum-classical Bayesian inference approach to derive fault tolerant filters and detection equations for open quantum systems with stochastic faults.

Findings

Successfully derives fault tolerant quantum filters and detection equations.

Demonstrates the method on two-level quantum systems with Poisson faults.

Potential to advance fault tolerant control in quantum systems.

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.