Variational quantum algorithm for constrained topology optimization

IF 5 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
Jungin E Kim and Yan Wang
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引用次数: 0

Abstract

One of the challenging scientific computing problems is topology optimization (TO), where the two tasks of searching through the combinatorially complex configurations and solving the constraints of partial differential equations need to be done simultaneously. In this paper, a novel variational quantum algorithm for constrained TO is proposed, which allows for the single-loop parallel search for the optimal configuration that also satisfies the physical constraints. The optimal configurations and the solutions to physical constraints are encoded with two separate quantum registers. A constraint encoding scheme is also proposed to incorporate volume and connectivity constraints in optimization. The gate complexity of the proposed quantum algorithm is analyzed. The algorithm is demonstrated with compliance minimization problems including truss structures and Messerschmitt–Bölkow–Blohm beams.
约束拓扑优化的变分量子算法
拓扑优化是具有挑战性的科学计算问题之一,它需要同时完成搜索组合复杂构型和求解偏微分方程约束两项任务。本文提出了一种新的变分量子算法,该算法允许单环并行搜索满足物理约束的最优构型。最佳配置和物理约束的解决方案用两个单独的量子寄存器进行编码。提出了一种约束编码方案,将体积约束和连通性约束结合到优化中。分析了所提量子算法的门复杂度。通过桁架结构和Messerschmitt-Bölkow-Blohm梁的柔度最小化问题对该算法进行了验证。
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来源期刊
Quantum Science and Technology
Quantum Science and Technology Materials Science-Materials Science (miscellaneous)
CiteScore
11.20
自引率
3.00%
发文量
133
期刊介绍: Driven by advances in technology and experimental capability, the last decade has seen the emergence of quantum technology: a new praxis for controlling the quantum world. It is now possible to engineer complex, multi-component systems that merge the once distinct fields of quantum optics and condensed matter physics. Quantum Science and Technology is a new multidisciplinary, electronic-only journal, devoted to publishing research of the highest quality and impact covering theoretical and experimental advances in the fundamental science and application of all quantum-enabled technologies.
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