Construction of a Family of Maximally Entangled Bases in Cd ⊗ Cd′

被引：0
作者：
Wang, Chenghong [1 ]
Wang, Kun [2 ]
Zheng, Zhu-Jun [1 ,3 ]
机构：
[1] South China Univ Technol, Sch Math, Guangzhou 510641, Peoples R China
[2] Zhoukou Normal Univ, Coll Math & Stat, Zhoukou 466001, Peoples R China
[3] South China Univ Technol, Lab Quantum Sci & Engn, Guangzhou 510641, Peoples R China
来源：
ENTROPY | 2022年 / 24卷 / 03期
关键词：
maximally entangled states; mutually unbiased bases; unextendible maximally entangled basis; MUTUALLY UNBIASED BASES;
D O I：
10.3390/e24030373
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we present a new method for the construction of maximally entangled states in C-d circle times C-d' when d' >= 2d. A systematic way of constructing a set of maximally entangled bases (MEBs) in C-d circle times C-d' was established. Both cases when d' is divisible by d and not divisible by d are discussed. We give two examples of maximally entangled bases in C-2 circle times C-4, which are mutually unbiased bases. Finally, we found a new example of an unextendible maximally entangled basis (UMEB) in C-2 circle times C-5.
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页数：11
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共 27 条
  • [1] Adhikari S, 2010, QUANTUM INF COMPUT, V10, P398
  • [2] Optimal teleportation based on bell measurements
    Albeverio, S
    Fei, SM
    Yang, WL
    [J]. PHYSICAL REVIEW A, 2002, 66 (01): : 4
  • [3] A new proof for the existence of mutually unbiased bases
    Bandyopadhyay, S
    Boykin, PO
    Roychowdhury, V
    Vatan, F
    [J]. ALGORITHMICA, 2002, 34 (04) : 512 - 528
  • [4] Unextendible maximally entangled bases
    Bravyi, Sergei
    Smolin, John A.
    [J]. PHYSICAL REVIEW A, 2011, 84 (04):
  • [5] Unextendible maximally entangled bases and mutually unbiased bases
    Chen, Bin
    Fei, Shao-Ming
    [J]. PHYSICAL REVIEW A, 2013, 88 (03):
  • [6] Entanglement witnesses: construction, analysis and classification
    Chruscinski, Dariusz
    Sarbicki, Gniewomir
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (48)
  • [7] About mutually unbiased bases in even and odd prime power dimensions
    Durt, T
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (23): : 5267 - 5283
  • [8] Eusebi A, 2009, QUANTUM INF COMPUT, V9, P950
  • [9] Quantum process reconstruction based on mutually unbiased basis
    Fernandez-Perez, A.
    Klimov, A. B.
    Saavedra, C.
    [J]. PHYSICAL REVIEW A, 2011, 83 (05):
  • [10] Entanglement detection
    Guehne, Otfried
    Toth, Geza
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2009, 474 (1-6): : 1 - 75
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