{"title":"从方块到 SU(2) 轨则理论的三元晶格","authors":"Ali H. Z. Kavaki, Randy Lewis","doi":"10.1038/s42005-024-01697-4","DOIUrl":null,"url":null,"abstract":"Lattice gauge theory should be able to address significant new scientific questions when implemented on quantum computers. In practice, error-mitigation techniques have already allowed encouraging progress on small lattices. In this work we focus on a truncated version of SU(2) gauge theory, which is a familiar non-Abelian step toward quantum chromodynamics. First, we demonstrate effective error mitigation for imaginary time evolution on a lattice having two square plaquettes, obtaining the ground state using an IBM quantum computer and observing that this would have been impossible without error mitigation. Then we propose the triamond lattice as an expedient approach to lattice gauge theories in three spatial dimensions and we derive the Hamiltonian. Finally, error-mitigated imaginary time evolution is applied to the three-dimensional triamond unit cell, and its ground state is obtained from an IBM quantum computer. Future work will want to relax the truncation on the gauge fields, and the triamond lattice is increasingly valuable for such studies. When implemented on quantum computers, lattice gauge theory should be able to address significant new scientific questions about quarks and gluons. The authors of this paper replace the traditional Cartesian lattice by one that has unique symmetry properties, and they use this new lattice to perform an error-mitigated quantum computer calculation.","PeriodicalId":10540,"journal":{"name":"Communications Physics","volume":null,"pages":null},"PeriodicalIF":5.4000,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.nature.com/articles/s42005-024-01697-4.pdf","citationCount":"0","resultStr":"{\"title\":\"From square plaquettes to triamond lattices for SU(2) gauge theory\",\"authors\":\"Ali H. Z. Kavaki, Randy Lewis\",\"doi\":\"10.1038/s42005-024-01697-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Lattice gauge theory should be able to address significant new scientific questions when implemented on quantum computers. In practice, error-mitigation techniques have already allowed encouraging progress on small lattices. In this work we focus on a truncated version of SU(2) gauge theory, which is a familiar non-Abelian step toward quantum chromodynamics. First, we demonstrate effective error mitigation for imaginary time evolution on a lattice having two square plaquettes, obtaining the ground state using an IBM quantum computer and observing that this would have been impossible without error mitigation. Then we propose the triamond lattice as an expedient approach to lattice gauge theories in three spatial dimensions and we derive the Hamiltonian. Finally, error-mitigated imaginary time evolution is applied to the three-dimensional triamond unit cell, and its ground state is obtained from an IBM quantum computer. Future work will want to relax the truncation on the gauge fields, and the triamond lattice is increasingly valuable for such studies. When implemented on quantum computers, lattice gauge theory should be able to address significant new scientific questions about quarks and gluons. The authors of this paper replace the traditional Cartesian lattice by one that has unique symmetry properties, and they use this new lattice to perform an error-mitigated quantum computer calculation.\",\"PeriodicalId\":10540,\"journal\":{\"name\":\"Communications Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":5.4000,\"publicationDate\":\"2024-06-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.nature.com/articles/s42005-024-01697-4.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.nature.com/articles/s42005-024-01697-4\",\"RegionNum\":1,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications Physics","FirstCategoryId":"101","ListUrlMain":"https://www.nature.com/articles/s42005-024-01697-4","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
摘要
在量子计算机上实现晶格规理论,应该能够解决重要的新科学问题。在实践中,误差缓解技术已经在小型晶格上取得了令人鼓舞的进展。在这项工作中,我们将重点放在 SU(2) 规理论的截断版本上,这是我们熟悉的迈向量子色动力学的非阿贝尔步骤。首先,我们在一个有两个正方形格子的晶格上演示了虚时间演化的有效误差缓解,利用 IBM 量子计算机获得了基态,并观察到如果没有误差缓解,这是不可能实现的。然后,我们提出了三金刚石晶格,作为在三个空间维度上实现晶格规理论的权宜之计,并推导出了哈密顿。最后,我们将误差缓解的虚时间演化应用于三维三金刚单元格,并通过 IBM 量子计算机获得了它的基态。未来的工作需要放宽对规量场的截断,而三元晶格对此类研究的价值与日俱增。在量子计算机上实现后,格规理论应该能够解决有关夸克和胶子的重大新科学问题。本文作者用一个具有独特对称特性的晶格取代了传统的笛卡尔晶格,并用这个新晶格进行了误差减弱的量子计算机计算。
From square plaquettes to triamond lattices for SU(2) gauge theory
Lattice gauge theory should be able to address significant new scientific questions when implemented on quantum computers. In practice, error-mitigation techniques have already allowed encouraging progress on small lattices. In this work we focus on a truncated version of SU(2) gauge theory, which is a familiar non-Abelian step toward quantum chromodynamics. First, we demonstrate effective error mitigation for imaginary time evolution on a lattice having two square plaquettes, obtaining the ground state using an IBM quantum computer and observing that this would have been impossible without error mitigation. Then we propose the triamond lattice as an expedient approach to lattice gauge theories in three spatial dimensions and we derive the Hamiltonian. Finally, error-mitigated imaginary time evolution is applied to the three-dimensional triamond unit cell, and its ground state is obtained from an IBM quantum computer. Future work will want to relax the truncation on the gauge fields, and the triamond lattice is increasingly valuable for such studies. When implemented on quantum computers, lattice gauge theory should be able to address significant new scientific questions about quarks and gluons. The authors of this paper replace the traditional Cartesian lattice by one that has unique symmetry properties, and they use this new lattice to perform an error-mitigated quantum computer calculation.
期刊介绍:
Communications Physics is an open access journal from Nature Research publishing high-quality research, reviews and commentary in all areas of the physical sciences. Research papers published by the journal represent significant advances bringing new insight to a specialized area of research in physics. We also aim to provide a community forum for issues of importance to all physicists, regardless of sub-discipline.
The scope of the journal covers all areas of experimental, applied, fundamental, and interdisciplinary physical sciences. Primary research published in Communications Physics includes novel experimental results, new techniques or computational methods that may influence the work of others in the sub-discipline. We also consider submissions from adjacent research fields where the central advance of the study is of interest to physicists, for example material sciences, physical chemistry and technologies.