Fault Tolerant Filtering and Fault Detection for Quantum Systems Driven By Fields in Single Photon States

TL;DR

This paper develops a fault-tolerant filtering and detection framework for open quantum systems driven by single photon states, providing optimal estimates of system observables and faults through coupled quantum stochastic differential equations.

Contribution

It introduces a novel fault detection and filtering method specifically designed for quantum systems with single photon inputs, advancing quantum fault diagnosis techniques.

Findings

Derived coupled quantum stochastic differential equations for fault estimation

Achieved optimal fault detection in quantum systems with single photon states

Enhanced robustness of quantum system monitoring under stochastic faults

Abstract

The purpose of this paper is to solve a fault tolerant filtering and fault detection problem for a class of open quantum systems driven by a continuous-mode bosonic input field in single photon states when the systems are subject to stochastic faults. Optimal estimates of both the system observables and the fault process are simultaneously calculated and characterized by a set of coupled recursive quantum stochastic differential equations.