用量子高斯滤波器求解量子多体系统基态问题的变分量子本征解

IF 2.3 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Physics Letters A Pub Date : 2025-06-27 DOI:10.1016/j.physleta.2025.130766

Yihao Liu , Min-Quan He , Z.D. Wang

{"title":"用量子高斯滤波器求解量子多体系统基态问题的变分量子本征解","authors":"Yihao Liu , Min-Quan He , Z.D. Wang","doi":"10.1016/j.physleta.2025.130766","DOIUrl":null,"url":null,"abstract":"<div><div>We present a novel quantum algorithm for approximating the ground-state in quantum many-body systems, particularly suited for Noisy Intermediate-Scale Quantum (NISQ) devices. Our approach integrates Variational Quantum Eigensolvers (VQE) with Quantum Gaussian Filters (QGF), utilizing an iterative methodology that discretizes the application of the QGF operator into small optimized steps through VQE. Demonstrated on the Transverse Field Ising models, our method shows improved convergence speed and accuracy, particularly under noisy conditions, compared to conventional VQE methods. This advancement highlights the potential of our algorithm in effectively addressing complex quantum simulations, marking a significant stride in quantum computing applications within the NISQ era.</div></div>","PeriodicalId":20172,"journal":{"name":"Physics Letters A","volume":"555 ","pages":"Article 130766"},"PeriodicalIF":2.3000,"publicationDate":"2025-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Variational quantum eigensolvers with quantum Gaussian filters for solving ground-state problems in quantum many-body systems\",\"authors\":\"Yihao Liu , Min-Quan He , Z.D. Wang\",\"doi\":\"10.1016/j.physleta.2025.130766\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We present a novel quantum algorithm for approximating the ground-state in quantum many-body systems, particularly suited for Noisy Intermediate-Scale Quantum (NISQ) devices. Our approach integrates Variational Quantum Eigensolvers (VQE) with Quantum Gaussian Filters (QGF), utilizing an iterative methodology that discretizes the application of the QGF operator into small optimized steps through VQE. Demonstrated on the Transverse Field Ising models, our method shows improved convergence speed and accuracy, particularly under noisy conditions, compared to conventional VQE methods. This advancement highlights the potential of our algorithm in effectively addressing complex quantum simulations, marking a significant stride in quantum computing applications within the NISQ era.</div></div>\",\"PeriodicalId\":20172,\"journal\":{\"name\":\"Physics Letters A\",\"volume\":\"555 \",\"pages\":\"Article 130766\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2025-06-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physics Letters A\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0375960125005468\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics Letters A","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0375960125005468","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

摘要

我们提出了一种新的量子算法来近似量子多体系统中的基态，特别适合于噪声中尺度量子（NISQ）器件。我们的方法将变分量子特征求解器（VQE）与量子高斯滤波器（QGF）相结合，利用迭代方法通过VQE将QGF算子的应用离散为小的优化步骤。在横向场Ising模型上证明，与传统的VQE方法相比，我们的方法显示出更高的收敛速度和精度，特别是在噪声条件下。这一进步凸显了我们的算法在有效解决复杂量子模拟方面的潜力，标志着NISQ时代量子计算应用的重大进步。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Variational quantum eigensolvers with quantum Gaussian filters for solving ground-state problems in quantum many-body systems

We present a novel quantum algorithm for approximating the ground-state in quantum many-body systems, particularly suited for Noisy Intermediate-Scale Quantum (NISQ) devices. Our approach integrates Variational Quantum Eigensolvers (VQE) with Quantum Gaussian Filters (QGF), utilizing an iterative methodology that discretizes the application of the QGF operator into small optimized steps through VQE. Demonstrated on the Transverse Field Ising models, our method shows improved convergence speed and accuracy, particularly under noisy conditions, compared to conventional VQE methods. This advancement highlights the potential of our algorithm in effectively addressing complex quantum simulations, marking a significant stride in quantum computing applications within the NISQ era.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Physics Letters A 物理-物理：综合

CiteScore

5.10

自引率

3.80%

发文量

493

审稿时长

30 days

期刊介绍： Physics Letters A offers an exciting publication outlet for novel and frontier physics. It encourages the submission of new research on: condensed matter physics, theoretical physics, nonlinear science, statistical physics, mathematical and computational physics, general and cross-disciplinary physics (including foundations), atomic, molecular and cluster physics, plasma and fluid physics, optical physics, biological physics and nanoscience. No articles on High Energy and Nuclear Physics are published in Physics Letters A. The journal''s high standard and wide dissemination ensures a broad readership amongst the physics community. Rapid publication times and flexible length restrictions give Physics Letters A the edge over other journals in the field.