Quantum Computing for Solid Mechanics and Structural Engineering -- a Demonstration with Variational Quantum Eigensolver

• URL: http://arxiv.org/abs/2308.14745v1
• Date: Mon, 28 Aug 2023 17:52:47 GMT
• Title: Quantum Computing for Solid Mechanics and Structural Engineering -- a Demonstration with Variational Quantum Eigensolver
• Authors: Yunya Liu, Jiakun Liu, Jordan R. Raney, and Pai Wang
• Abstract summary: Variational quantum algorithms exploit the features of superposition and entanglement to optimize a cost function efficiently. We implement and demonstrate the numerical processes on the 5-qubit and 7-qubit quantum processors on the IBM Qiskit platform.
• Score: 3.8061090528695534
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Variational quantum algorithms exploit the features of superposition and entanglement to optimize a cost function efficiently by manipulating the quantum states. They are suitable for noisy intermediate-scale quantum (NISQ) computers that recently became accessible to the worldwide research community. Here, we implement and demonstrate the numerical processes on the 5-qubit and 7-qubit quantum processors on the IBM Qiskit Runtime platform. We combine the commercial finite-element-method (FEM) software ABAQUS with the implementation of Variational Quantum Eigensolver (VQE) to establish an integrated pipeline. Three examples are used to investigate the performance: a hexagonal truss, a Timoshenko beam, and a plane-strain continuum. We conduct parametric studies on the convergence of fundamental natural frequency estimation using this hybrid quantum-classical approach. Our findings can be extended to problems with many more degrees of freedom when quantum computers with hundreds of qubits become available in the near future.

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