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.
引用
收藏
页数：10
相关论文
共 50 条
  • [31] Mutually Unbiased Property of Special Entangled Bases
    Yuan-Hong Tao
    Xin-Lei Yong
    Yi-Fan Han
    Shu-Hui Wu
    Cai-Hong Wang
    International Journal of Theoretical Physics, 2021, 60 : 2653 - 2661
  • [32] Mutually Unbiased Property of Special Entangled Bases
    Tao, Yuan-Hong
    Yong, Xin-Lei
    Han, Yi-Fan
    Wu, Shu-Hui
    Wang, Cai-Hong
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2021, 60 (07) : 2653 - 2661
  • [33] Bounds on the number of mutually unbiased entangled bases
    Shi, Fei
    Shen, Yi
    Chen, Lin
    Zhang, Xiande
    QUANTUM INFORMATION PROCESSING, 2020, 19 (10)
  • [34] New construction of mutually unbiased bases in square dimensions
    Wocjan, P
    Beth, T
    QUANTUM INFORMATION & COMPUTATION, 2005, 5 (02) : 93 - 101
  • [35] Construction of mutually unbiased maximally entangled bases in C2s ⊗ C2s by using Galois rings
    Xu, Dengming
    QUANTUM INFORMATION PROCESSING, 2020, 19 (06)
  • [36] Maximally entangled states via mutual unbiased collective bases
    Revzen, M.
    PHYSICAL REVIEW A, 2010, 81 (01):
  • [37] A complementary construction using mutually unbiased bases
    Wu, Gaofei
    Parker, Matthew Geoffrey
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2014, 6 (01): : 3 - 25
  • [38] A complementary construction using mutually unbiased bases
    Gaofei Wu
    Matthew Geoffrey Parker
    Cryptography and Communications, 2014, 6 : 3 - 25
  • [39] Construction of Mutually Unbiased Bases Using Mutually Orthogonal Latin Squares
    Song, Yi-yang
    Zhang, Gui-jun
    Xu, Ling-shan
    Tao, Yuan-hong
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2020, 59 (06) : 1777 - 1787
  • [40] Construction of Mutually Unbiased Bases Using Mutually Orthogonal Latin Squares
    Yi-yang Song
    Gui-jun Zhang
    Ling-shan Xu
    Yuan-hong Tao
    International Journal of Theoretical Physics, 2020, 59 : 1777 - 1787
12345