In this paper, we model and solve a fundamental power system problem, i.e., DC power flow, using a practical quantum computer. The Harrow-Hassidim-Lloyd (HHL) quantum algorithm is used to solve the DC power flow problem. The HHL algorithm for the solution of a system of linear equations (SLE) offers an exponential speedup over the classical computers. The speedup advantage is more significant when the size and the frequency of solving the power flow problem become more substantial. Verified quantum computing applications to power systems are merely nonexistent at this point. Through this paper, we plan to (1) provide a proof-of-concept that practical power system problems can be solved using quantum technology, (2) build a quantum-grid foundation by solving a fundamental power system problem with applications in many other critical grid problems, and (3) apply HHL to solve an SLE which has broad applications in many power system problems. A small 3-bus system is used for testing and demonstration purposes, considering the limitations of the available quantum computing hardware and software. The proposed method's merits and effectiveness are demonstrated using IBM open-source quantum computer and reported through proof-of-concept experimental demonstration using a 4-qubit quantum information processor.
Quantum computing of nonlinear reacting flows via the probability density function method
State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences（非线性力学国家重点实验室，中国科学院力学研究所）；HEDPS-CAPT, Peking University（高超声速飞行技术联合实验室（HEDPS-CAPT），北京大学）
Multi-Partitioned Computing Quantum-Particle Approach: A Hybrid Quantum Framework for Fluid Flow
Peking University（北京大学）；Nanchang Institute of Innovation, Peking University（北京大学南昌创新研究院）；Southwest Jiaotong University（西南交通大学）；Advanced Structural Material Mechanics and Service Safety Key Laboratory of Sichuan Province（四川省先进结构材料力学与服务安全重点实验室）；Xihua University（西华大学）；Hohai University（河海大学）；Laboratory of Mechanics and Energy, Univ-Evry, Paris-Saclay University（巴黎萨克雷大学埃夫里大学力学与能源实验室）
