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NEW BOUNDS OF MUTUALLY UNBIASED MAXIMALLY ENTANGLED BASES IN Cd circle times C-kd
Cheng, Xiaoya1,2; Shang, Yun1,3,4
2018-11-01
Source PublicationQUANTUM INFORMATION & COMPUTATION
ISSN1533-7146
Volume18Issue:13-14Pages:1152-1164
AbstractMutually 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.
Keywordmutually unbiased bases maximally entangled states Pauli matrices mutually orthogonal Latin squares
Language英语
Funding ProjectNational 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 Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Theory & Methods ; Physics, Particles & Fields ; Physics, Mathematical
WOS IDWOS:000453009400006
PublisherRINTON PRESS, INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/31985
Collection数学所
Affiliation1.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
Recommended Citation
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.
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