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IEEE International Conference on Quantum Computing and Engineering (QCE)

Quantum Bayesian Inference for Rail Infrastructure Condition Assessment

Dengimowei D. Alabintei, Nii Attoh-Okine

Published Aug 30, 2025• 0 citations
Publisher

Abstract

Bayesian networks (BNs) are increasingly used for modeling complex infrastructure systems under uncertainty because of their ability to enable probabilistic reasoning. In this work, the potential of Quantum Bayesian networks (QBNs) to infer infrastructure deterioration in a rail system was explored. QBNs are quantum versions of classical BNs that utilize quantum circuits and algorithms to encode prior and conditional dependencies among variables. In this case study, a hierarchical rail condition system comprising substructure and superstructure components such as ballast, subgrade, rails, and ties, along with environmental factors like temperature and moisture, is described using a BN. In particular, conditional relationships are defined using classical conditional probability tables and mapped onto a parameterized quantum circuit with the aid of quantum gates. The QBN was executed on IBM's quantum simulator, and inference is performed through repeated quantum sampling. The QBN was evaluated by comparing its marginal, joint, and conditional probability estimates against those obtained from an equivalent classical BN implemented using exact inference. Our results, visualized through probability distributions and bitstring statistics, show a high degree of consistency between quantum and classical models, with low variance across multiple runs. This study demonstrates the feasibility of using QBNs for interpretable and scalable infrastructure assessment.

DOI
10.1109/qce65121.2025.10390

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Bayesian networks (BNs) are increasingly used for modeling complex infrastructure systems under uncertainty because of their ability to enable probabilistic reasoning. In this work, the potential of Quantum Bayesian networks (QBNs) to infer infrastructure deterioration in a rail system was explored. QBNs are quantum versions of classical BNs that utilize quantum circuits and algorithms to encode prior and conditional dependencies among variables. In this case study, a hierarchical rail condition system comprising substructure and superstructure components such as ballast, subgrade, rails, and ties, along with environmental factors like temperature and moisture, is described using a BN. In particular, conditional relationships are defined using classical conditional probability tables and mapped onto a parameterized quantum circuit with the aid of quantum gates. The QBN was executed on IBM's quantum simulator, and inference is performed through repeated quantum sampling. The QBN was evaluated by comparing its marginal, joint, and conditional probability estimates against those obtained from an equivalent classical BN implemented using exact inference. Our results, visualized through probability distributions and bitstring statistics, show a high degree of consistency between quantum and classical models, with low variance across multiple runs. This study demonstrates the feasibility of using QBNs for interpretable and scalable infrastructure assessment.
Bayesian Networks (BN) are probabilistic graphical models that are widely used for uncertainty modeling, stochastic prediction and probabilistic inference. A Quantum Bayesian Network (QBN) is a quantum version of the Bayesian network that utilizes the principles of quantum mechanical systems to improve the computational performance of various analyses. In this paper, we experimentally evaluate the performance of QBN on various IBM QX hardware against Qiskit simulator and classical analysis. We consider a 4-node BN for stock prediction for our experimental evaluation. We construct a quantum circuit to represent the 4-node BN using Qiskit, and run the circuit on nine IBM quantum devices: Yorktown, Vigo, Ourense, Essex, Burlington, London, Rome, Athens and Melbourne. We will also compare the performance of each device across the four levels of optimization performed by the IBM Transpiler when mapping a given quantum circuit to a given device. We use the root mean square percentage error as the metric for performance comparison of various hardware.
Operational demands in industries, such as the energy sector, underscore the critical need for reliable equipment capable of withstanding long-term planning and unpredictable factors.Reliability assessment is important for maintaining productivity and optimizing maintenance strategies, especially in scenarios where data limitations challenge traditional assessment methods.In this context, Bayesian inference has emerged as a dynamic tool to update reliability estimates using data from various hierarchical levels.However, conventional simulation techniques may lack computational efficiency when dealing with the reliability estimation of complex systems, creating opportunities to explore alternative approaches such as quantum computation techniques.Quantum Computing leverages principles of quantum mechanics, such as superposition and entanglement, to try to address these computational challenges more effectively.Previous works have applied quantum Bayesian networks using amplitude amplification methods to the context of risk and reliability, focusing on nodes representing discrete probability distributions.This research aims to enhance this approach by incorporating continuous marginal and conditional probabilities into the analysis, which is particularly relevant for systems that rely on these distributions to model events.We explore the encoding of continuous probability distributions within the amplitude amplification framework, aiming to improve the efficiency and precision of probabilistic inference.Additionally, we apply this methodology to Bayesian networks, benchmarking the performance of quantum methods against classical simulation techniques like Monte Carlo to identify scenarios where quantum techniques demonstrate clear advantages.
Quantum Bayesian Networks (QBNs) offer a novel approach to parameter estimation in complex systems, particularly those exhibiting probabilistic dependencies and inherent uncertainty. This paper explores the development of a QBN specifically designed to explicitly model quantum uncertainty, aiming to improve the accuracy of parameter estimation compared to traditional Bayesian networks. We introduce a mechanism based on quantum measurements to generate probabilistic relationships between parameters, thereby capturing the inherent uncertainty present in quantum systems. The resulting QBN demonstrates enhanced performance in scenarios requiring precise parameter determination, particularly in systems with complex dependencies and noisy data. The core mechanism leverages the principles of quantum measurement to generate probabilistic relationships, offering a pathway towards a more robust and accurate representation of uncertainty.
Abstract Unmanned systems play a crucial role in modern cyber-physical systems, supporting applications in defense, surveillance, and commercial operations. As these systems grow in scale and complexity, their reliability becomes increasingly challenging to assess due to intricate dependencies among components and subsystems. Traditional system reliability analysis using classical Bayesian networks struggle with computational scalability, limiting their applicability in large-scale systems. This study explores quantum Bayesian networks (QBNs) as a novel approach for reliability analysis and prediction in unmanned systems. A quantum circuit-based Bayesian network model is developed to represent component dependencies, leveraging quantum computing advantages such as superposition and entanglement. The methodology is applied to the communication system of an unmanned surface vessel using IBM’s Qiskit and executed on a supercomputer using quantum simulators. Results demonstrate the potential of quantum computing to enhance reliability and risk assessments, offering a scalable solution for applications relating to complex systems.
This paper investigates the potential of quantum computing to revolutionize Bayesian inference applied to complex networks. We propose a novel Bayesian inference algorithm, termed a 'Quantum Bayesian Network' (QBN), that integrates quantum mechanics principles to accelerate the identification of key nodes and connections within these networks. The core mechanism centers around leveraging quantum superposition and entanglement to enhance the probabilistic nature of Bayesian inference, leading to improved accuracy and efficiency. The proposed QBN offers a fundamentally different approach compared to traditional Bayesian methods, potentially unlocking new insights into network structure and dynamics. This work explores the theoretical foundations, potential implementation challenges, and preliminary results demonstrating the feasibility of this quantum-enhanced approach.
This thesis explores the intersection of Bayesian inference and quantum computing, with a particular focus on developing and analyzing quantum approaches to probabilistic modeling. The motivation arises from the limitations of classical inference methods, which often become intractable when applied to high-dimensional distributions and complex Bayesian networks. By leveraging quantum algorithms, the work investigates how probabilistic reasoning can benefit from computational speedups, scalability, and more efficient handling of uncertainty.The implementation targets canonical benchmark problems—the Sprinkler Network and the Asia Network—where both classical and quantum Bayesian inference techniques are applied and compared. Using Qiskit, the thesis demonstrates how quantum circuits can encode probabilistic models through parameterized rotations and controlled operations, and how posterior distributions can be computed by sampling and amplitude amplification. Comparative experiments systematically evaluate the accuracy, variance, and scalability of quantum Bayesian inference against classical baselines, highlighting trade-offs between precision and shot counts while exploring the potential for quadratic speedups.The results show that although present-day hardware constraints, such as limited qubit counts and noise, restrict large-scale deployment, quantum implementations already display strong promise for complex probabilistic reasoning tasks. Importantly, the conclusions underscore the role of quantum Bayesian networks as a pathway toward practical quantum-enhanced machine learning.