Probabilistic graphical models such as Bayesian networks are widely used to model stochastic systems to perform various types of analysis such as probabilistic prediction, risk analysis, and system health monitoring, which can become computationally expensive in large-scale systems. While demonstrations of true quantum supremacy remain rare, quantum computing applications managing to exploit the advantages of amplitude amplification have shown significant computational benefits when compared against their classical counterparts. We develop a systematic method for designing a quantum circuit to represent a generic discrete Bayesian network with nodes that may have two or more states, where nodes with more than two states are mapped to multiple qubits. The marginal probabilities associated with root nodes (nodes without any parent nodes) are represented using rotation gates, and the conditional probability tables associated with non-root nodes are represented using controlled rotation gates. The controlled rotation gates with more than one control qubit are represented using ancilla qubits. The proposed approach is demonstrated for three examples: a 4-node oil company stock prediction, a 10-node network for liquidity risk assessment, and a 9-node naive Bayes classifier for bankruptcy prediction. The circuits were designed and simulated using Qiskit, a quantum computing platform that enables simulations and also has the capability to run on real quantum hardware. The results were validated against those obtained from classical Bayesian network implementations.
Graph-Based Bayesian Optimization for Quantum Circuit Architecture Search with Uncertainty Calibrated Surrogates
Department of Physics, Indian Institute of Technology (BHU)（印度理工学院（BHU）物理系）；eBRAIN Lab, Division of Engineering, New York University Abu Dhabi (NYUAD)（纽约大学阿布扎赫分校（NYUAD）工程系eBRAIN实验室）；Center for Quantum and Topological Systems (CQTS), NYUAD Research Institute, NYUAD（纽约大学阿布扎赫分校（NYUAD）量子与拓扑系统中心（CQTS））
Heisenberg-limited Bayesian phase estimation with low-depth digital quantum circuits
California Institute of Technology（加州理工学院）；School of Physics and Astronomy, Tel Aviv University（特拉维夫大学物理与天文学学院）；Racah Institute of Physics, The Hebrew University of Jerusalem（耶路撒冷希伯来大学拉卡物理研究所）
Physics-Informed Bayesian Optimization of Variational Quantum Circuits
University of Bonn（波恩大学）；Helmholtz Institute for Radiation and Nuclear Physics (HISKP)（亥姆霍兹辐射与核物理研究所）；Berlin Institute for the Foundations of Learning and Data (BIFOLD)（柏林学习与数据基础研究所）；Northeastern University London（东北大学伦敦分校）；Khoury College of Computer Sciences, Northeastern University（东北大学卡尔利计算机科学学院）；Deutsches Elektronen-Synchrotron (DESY)（德国电子同步加速器研究所）；Institute of Photonic Sciences, The Barcelona Institute of Science and Technology (ICFO)（光子科学研究所（巴塞罗那科学技术学院））；Prescient Design, gRED, Roche（罗氏公司gRED部门精准设计团队）；Technische Universität Berlin（柏林工业大学）；Max Planck Institut für Informatik（马克斯·普朗克信息学研究所）；RIKEN Center（理化学研究所中心）
Game, Set, Quantum: Parameterized Quantum Circuit for Correlated Equilibrium in Bayesian Games
Fractal Analytics；Goa Institute of Management（果阿管理学院）；New York University Abu Dhabi (NYUAD)（纽约大学阿布扎比分校）；NYUAD Research Institute（NYUAD研究院）；Birla Institute of Technology and Science (BITS) Pilani - Dubai Campus（比拉理工学院（BITS）皮拉尼-迪拜校区）；Birla Institute of Technology and Science (BITS) Pilani - Pilani Campus（比拉理工学院（BITS）皮拉尼校区）
Utilizing discrete variable representations for decoherence-accurate numerical simulation of superconducting circuits
Joint Quantum Institute (JQI)（联合量子研究所）；Department of Physics, University of Maryland（马里兰大学物理系）；Joint Center for Quantum Information and Computer Science (QuICS)（量子信息与计算科学联合中心）；Maryland Quantum Materials Center (QMC)（马里兰量子材料中心）；National Institute of Standards and Technology (NIST)（美国国家标准与技术研究院）
Quantum Bayesian Optimization for the Automatic Tuning of Lorenz-96 as a Surrogate Climate Model
d-fine GmbH（d-fine有限公司）；Leibniz Universität Hannover（莱布尼茨汉诺威大学）；PlanQC GmbH（PlanQC有限公司）；University of Hamburg（汉堡大学）；Deutsches Zentrum für Luft- und Raumfahrt（德国航空航天中心）；University of Bremen（不来梅大学）
Entanglement scaling in matrix product state representation of smooth functions and their shallow quantum circuit approximations
Haiqu, Inc.（海奎公司）；Akhiezer Institute for Theoretical Physics, NSC KIPT（阿赫伊泽尔理论物理研究所，国家核子研究中心基辅物理技术研究所）；V.N. Karazin Kharkiv National University（V.N.卡拉金哈尔科夫国立大学）；HSBC Lab, Emerging Technologies, Innovation & Ventures（汇丰实验室，新兴技术、创新与风险投资部门）；Faculty of Electrical Engineering, Czech Technical University in Prague（捷克布拉格工业大学电气工程学院）；Archimedes Research Unit on AI, Data Science and Algorithms, Athena Research Center（雅典娜研究中心人工智能、数据科学与算法研究组）；HSBC Service Delivery Sp. z o.o.（汇丰服务交付有限公司）；Department of Physics, University of Zürich（苏黎世大学物理系）
