NEW BOUNDS OF MUTUALLY UNBIASED MAXIMALLY ENTANGLED BASES IN Cd circle times C-kd

CSpace > 数学所

	NEW BOUNDS OF MUTUALLY UNBIASED MAXIMALLY ENTANGLED BASES IN Cd circle times C-kd
	Cheng, Xiaoya 1,2; Shang, Yun1,3,4
	2018-11-01
发表期刊	QUANTUM INFORMATION & COMPUTATION
ISSN	1533-7146
卷号	18 期号:13-14 页码:1152-1164
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.
关键词	mutually unbiased bases maximally entangled states Pauli matrices mutually orthogonal Latin squares
语种	英语
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
WOS类目	Computer Science, Theory & Methods ; Physics, Particles & Fields ; Physics, Mathematical
WOS记录号	WOS:000453009400006
出版者	RINTON PRESS, INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31985
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.