Lackadaisical discrete-time quantum walk on Johnson graph
文献类型：期刊论文
| 作者 | Peng, Fangjie2,3; Li, Meng2,3; Sun, Xiaoming1,2,3 |
| 刊名 | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
 |
| 出版日期 | 2024-02-01 |
| 卷号 | 635页码:16 |
| 关键词 | Discrete-time quantum walk Johnson graph Quadratic speedup |
| ISSN号 | 0378-4371 |
| DOI | 10.1016/j.physa.2024.129495 |
| 英文摘要 | Quantum walk is widely used in search problems, and it has an ideal acceleration effect compared with classical algorithm. Suppose there is a marked vertex omega on Johnson graph J(n, k), we hope to find omega using quantum walk. We adopt the coined quantum walk model, and we have proved that, for fixed order k, lackadaisical discrete-time quantum walk (DTQW) can find omega with success probability 1-o(1), keeping a quadratic speedup. Before this paper, the best result of DTQW is that discrete-time quantum walk finds.. with success probability 1/2 -o(1). We improve the success probability to 1 -o(1) by adding self-loops with proper weights and choose the appropriate oracle operator. Our result also matches the result of continuous-time quantum walk. |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:001158500800001 |
| 出版者 | ELSEVIER |
| 源URL | [http://119.78.100.204/handle/2XEOYT63/38355]  |
| 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.Shanghai Innovat Ctr Processor Technol, Shanghai 200234, Peoples R China 2.Univ Chinese Acad Sci, Sch Comp Sci & Technol, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Inst Comp Technol, State Key Lab Processors, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Peng, Fangjie,Li, Meng,Sun, Xiaoming. Lackadaisical discrete-time quantum walk on Johnson graph[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,2024,635:16. |
| APA | Peng, Fangjie,Li, Meng,&Sun, Xiaoming.(2024).Lackadaisical discrete-time quantum walk on Johnson graph.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,635,16. |
| MLA | Peng, Fangjie,et al."Lackadaisical discrete-time quantum walk on Johnson graph".PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 635(2024):16. |
入库方式： OAI收割
来源：计算技术研究所
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