中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 计算技术研究所
  3. 中国科学院计算技术研究所
  4. 中国科学院计算技术研究所期刊论文
  5. 英文
Search algorithm on strongly regular graph by lackadaisical quantum walk

文献类型：期刊论文

作者Peng, Fangjie1,2; Li, Meng1,2; Sun, Xiaoming1,2
刊名JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
出版日期2024-03-29
卷号57期号:13页码:16
关键词strongly regular graph quantum search discrete-time quantum walk
ISSN号1751-8113
DOI10.1088/1751-8121/ad3055
英文摘要Quantum walk is a widely used method in designing quantum algorithms. In this article, we consider the lackadaisical discrete-time quantum walk (DTQW) on strongly regular graphs (SRG). When there is a single marked vertex in a SRG, we prove that lackadaisical DTQW can find the marked vertex with asymptotic success probability 1, with a quadratic speedup compared to classical random walk. This paper deals with any parameter family of SRG and argues that, by adding self-loops with proper weights, the asymptotic success probability can reach 1. The running time and asymptotic success probability matches the result of continuous-time quantum walk, and improves the result of DTQW.
资助项目National Natural Science Foundation of Chinahttp://dx.doi.org/10.13039/501100001809[62325210] ; National Natural Science Foundation of Chinahttp://dx.doi.org/10.13039/501100001809[62301531] ; National Natural Science Foundation of China[XDB28000000] ; Strategic Priority Research Program of Chinese Academy of Sciences[2022M723209] ; China Postdoctoral Science Foundation
WOS研究方向Physics
语种英语
WOS记录号WOS:001187440200001
出版者IOP Publishing Ltd
源URL[http://119.78.100.204/handle/2XEOYT63/38754]  
专题中国科学院计算技术研究所期刊论文_英文
通讯作者Li, Meng
作者单位1.Univ Chinese Acad Sci, Sch Comp Sci & Technol, Wuhan 100049, Peoples R China
2.Chinese Acad Sci, State Key Lab Processors, Inst Comp Technol, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Peng, Fangjie,Li, Meng,Sun, Xiaoming. Search algorithm on strongly regular graph by lackadaisical quantum walk[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2024,57(13):16.
APA Peng, Fangjie,Li, Meng,&Sun, Xiaoming.(2024).Search algorithm on strongly regular graph by lackadaisical quantum walk.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,57(13),16.
MLA Peng, Fangjie,et al."Search algorithm on strongly regular graph by lackadaisical quantum walk".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 57.13(2024):16.

入库方式： OAI收割

来源：计算技术研究所

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。