From Ad-Hoc to Systematic: A Strategy for Imposing General Boundary Conditions in Discretized PDEs in variational quantum algorithm

Autor:	Lu, Dingjie, Wang, Zhao, Liu, Jun, Li, Yangfan, Ewe, Wei-Bin, Liu, Zhuangjian
Rok vydání:	2023
Předmět:	Quantum Physics Physics - Computational Physics
Druh dokumentu:	Working Paper
Popis:	We proposed a general quantum-computing-based algorithm that harnesses the exponential power of noisy intermediate-scale quantum (NISQ) devices in solving partial differential equations (PDE). This variational quantum eigensolver (VQE)-inspired approach transcends previous idealized model demonstrations constrained by strict and simplistic boundary conditions. It enables the imposition of arbitrary boundary conditions, significantly expanding its potential and adaptability for real-world applications, achieving this "from ad-hoc to systematic" concept. We have implemented this method using the fourth-order PDE (the Euler-Bernoulli beam) as example and showcased its effectiveness with four different boundary conditions. This framework enables expectation evaluations independent of problem size, harnessing the exponentially growing state space inherent in quantum computing, resulting in exceptional scalability. This method paves the way for applying quantum computing to practical engineering applications. Comment: 16 pages, 8 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.11764 Zobrazit plný text záznamu View this record from Arxiv