NEW BOUNDS OF MUTUALLY UNBIASED MAXIMALLY ENTANGLED BASES IN Cd circle times C-kd
文献类型：期刊论文
| 作者 | Cheng, Xiaoya1,2; Shang, Yun1,3,4
|
| 刊名 | QUANTUM INFORMATION & COMPUTATION
 |
| 出版日期 | 2018-11-01 |
| 卷号 | 18期号:13-14页码:1152-1164 |
| 关键词 | mutually unbiased bases maximally entangled states Pauli matrices mutually orthogonal Latin squares |
| ISSN号 | 1533-7146 |
| 英文摘要 | Mutually unbiased bases which is also maximally entangled bases is called mutually unbiased maximally entangled bases (MUMEBs). We study the construction of MUMEBs in bipartite system. In detail, we construct 2(p(a) - 1) MUMEBs in C-d circle times C-d by properties of Cuss sums for arbitrary odd d. It improves the known lower bound p(a) - 1 for odd d. Certainly, it also generalizes the lower bound 2(p(a) - 1) for d being a single prime power. Furthermore, we construct MUMEBs in C-d circle times C-kd for general k >= 2 and odd d. We get the similar lower bounds as k, b are both single prime powers. Particularly, when k is a square number, by using mutually orthogonal Latin squares, we can construct more MUMEBs in C-d circle times C-kd, and obtain greater lower bounds than reducing the problem into prime power dimension in some cases. |
| 资助项目 | National Key Research and Development Program of China[2016YFB1000902] ; National Research Foundation of China[61472412,61872352] ; Program for Creative Research Group of National Natural Science Foundation of China[61621003] |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000453009400006 |
| 出版者 | RINTON PRESS, INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31984]  |
| 专题 | 数学所 |
| 通讯作者 | Shang, Yun |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Key Lab Management, Decis & Informat Syst, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cheng, Xiaoya,Shang, Yun. NEW BOUNDS OF MUTUALLY UNBIASED MAXIMALLY ENTANGLED BASES IN Cd circle times C-kd[J]. QUANTUM INFORMATION & COMPUTATION,2018,18(13-14):1152-1164. |
| APA | Cheng, Xiaoya,&Shang, Yun.(2018).NEW BOUNDS OF MUTUALLY UNBIASED MAXIMALLY ENTANGLED BASES IN Cd circle times C-kd.QUANTUM INFORMATION & COMPUTATION,18(13-14),1152-1164. |
| MLA | Cheng, Xiaoya,et al."NEW BOUNDS OF MUTUALLY UNBIASED MAXIMALLY ENTANGLED BASES IN Cd circle times C-kd".QUANTUM INFORMATION & COMPUTATION 18.13-14(2018):1152-1164. |
入库方式： OAI收割
来源：数学与系统科学研究院
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。