A new construction of mutually unbiased maximally entangled bases in Cq ⊗ Cq

被引：1
|
作者：
Xu, Dengming [1 ]
Li, Feiya [2 ]
Hu, Wei [3 ]
机构：
[1] Civil Aviat Univ China, Sino European Inst Aviat Engn, Tianjin 300300, Peoples R China
[2] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China
[3] Beijing Normal Univ, MOE, Lab Math & Complex Syst, Sch Math Sci, Beijing 100875, Peoples R China
来源：
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2021年 / 19卷 / 02期
关键词：
Finite fields; Galois rings; trace 2-excluded subsets; special linear groups; mutually unbiased maximally entangled bases;
D O I：
10.1142/S0219749921500143
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper is devoted to constructing mutually unbiased maximally entangled bases (MUMEBs) in C-q circle times C-q, where q is a prime power. We prove that M(q, q) >= q(2) - q + 1 when q is even, and M(q, q) >= q(2) - q + 2 when q is odd, where M(q, q) is the maximal size of the sets of MUMEBs in Cq Cq. This highly raises the lower bounds of M(q, q) given in D. Xu, Quant. Inf. Process. 18(7) (2019) 213; D. Xu, Quant. Inf. Process. 19(6) (2020) 175. It should de noted that the method used in the paper is completely different from that in D. Xu, Quant. Inf. Process. 18(7) (2019) 213; D. Xu, Quant. Inf. Process. 19(6) (2020) 175.
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页数：10
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