Fault Tolerant Quantum Filtering and Fault Detection for 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.

References in corpus (15)

• Fault-Tolerant Quantum Dynamical Decoupling
• Optimally robust shortcuts to population inversion in two-level quantum systems
• Feedback control of quantum state reduction
• Robust dynamical decoupling with bounded controls
• Stabilizing feedback controls for quantum systems
• Sliding Mode Control of Two-Level Quantum Systems
• Time-Symmetric Quantum Theory of Smoothing
• State and dynamical parameter estimation for open quantum systems
• A discrete invitation to quantum filtering and feedback control
• Efficient Quantum Filtering for Quantum Feedback Control
• Robust manipulation of superconducting qubits in the presence of fluctuations
• Quantum feedback by discrete quantum non-demolition measurements: towards on-demand generation of photon-number states
• Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing. II. Applications to atomic magnetometry and Hardy's paradox
• Estimation of classical parameters via continuous probing of complementary quantum observables
• Optimal waveform estimation for classical and quantum systems via time-symmetric smoothing

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• Generation of accessible sets in the dynamical modelling of quantum network systems
• Hybrid filtering for a class of nonlinear quantum systems subject to classical stochastic disturbances
• Finite-time stabilization control of quantum systems
• Fault-tolerant Coherent H-infinity Control for Linear Quantum Systems
• An Improved Quantum Projection Filter
• Quantum filtering for a two-level atom driven by two counter-propagating photons