| Probabilistic stability of magnetic quantum walk | |
Yang, Zheng1; Wang, Caishi1,2; Zhang, Lixia1,2 ; Ren, Suling3
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| 2025-03-28 | |
| 在线发表日期 | 2025-03 |
| 发表期刊 | INTERNATIONAL JOURNAL OF QUANTUM INFORMATION
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| 摘要 | A magnetic quantum walk is a quantum walk coupling to (or perturbed by) a magnetic field, which plays an active role in describing the motion of a particle in a magnetic field. In this paper, we introduce and investigate a discrete-time magnetic quantum walk in the framework of Bernoulli functionals. We first introduce magnetic shift operators in terms of the annihilation and creation operators on Bernoulli functionals, and then use them to construct the desired walk. After proving some technical results, we establish a formula for determining probability distributions of the walk. Finally, we show that the walk has probability distributions that are completely independent of the magnetic potential when its initial state meets some mild conditions. |
| 关键词 | Quantum walk Bernoulli functional magnetic potential probability distribution stability |
| DOI | 10.1142/S0219749925500066 |
| 收录类别 | SCIE ; EI |
| ISSN | 0219-7499 |
| 语种 | 英语 |
| WOS研究方向 | Computer Science ; Physics |
| WOS类目 | Computer Science, Theory & Methods ; Quantum Science & Technology ; Physics, Particles & Fields ; Physics, Mathematical |
| WOS记录号 | WOS:001455321400001 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| EI入藏号 | 20251418174994 |
| EI主题词 | Magnetic fields |
| EI分类号 | 701.2 Magnetism: Basic Concepts and Phenomena - 1301.1.4 Quantum Theory ; Quantum Mechanics |
| 原始文献类型 | Article ; Early Access |
| EISSN | 1793-6918 |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.lzufe.edu.cn/handle/39EH0E1M/38934 |
| 专题 | 会计学院 统计与数据科学学院 |
| 通讯作者 | Wang, Caishi |
| 作者单位 | 1.Northwest Normal Univ, Sch Math & Stat, Lanzhou 730070, Gansu, Peoples R China; 2.Northwest Normal Univ, Gansu Prov Res Ctr Basic Disciplines Math & Stat, Lanzhou 730070, Gansu, Peoples R China; 3.Lanzhou Univ Finance & Econ, Sch Stat & Data Sci, Lanzhou 730070, Gansu, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, Zheng,Wang, Caishi,Zhang, Lixia,et al. Probabilistic stability of magnetic quantum walk[J]. INTERNATIONAL JOURNAL OF QUANTUM INFORMATION,2025. |
| APA | Yang, Zheng,Wang, Caishi,Zhang, Lixia,&Ren, Suling.(2025).Probabilistic stability of magnetic quantum walk.INTERNATIONAL JOURNAL OF QUANTUM INFORMATION. |
| MLA | Yang, Zheng,et al."Probabilistic stability of magnetic quantum walk".INTERNATIONAL JOURNAL OF QUANTUM INFORMATION (2025). |
| 条目包含的文件 | 条目无相关文件。 | |||||
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