Zero entries distribution in a unitary matrix

被引：0
|
作者：
Liu, Shaomin [1 ]
Feng, Changchun [2 ,3 ]
Chen, Lin [4 ]
机构：
[1] Anhui Polytech Univ, Sch Math Phys & Finance, Wuhu 241000, Peoples R China
[2] Beihang Univ, LMIB, Minist Educ, Beijing 100191, Peoples R China
[3] Beihang Univ, Sch Math Sci, Beijing 100191, Peoples R China
[4] Beihang Univ, Int Res Inst Multidisciplinary Sci, Beijing 100191, Peoples R China
来源：
QUANTUM INFORMATION PROCESSING | 2023年 / 22卷 / 04期
关键词：
Quantum information; Zero entries distribution; Qubit; Matrix; POVM; MULTIPARTICLE ENTANGLEMENT;
D O I：
10.1007/s11128-023-03913-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present a principle to determine whether amatrix is unitary. Through this principle, we can exclude some zero entries distribution in unitary matrices. As a result, we can construct higher order unitary matrices with a given zero entries distribution. We apply our results to construct CP-equivalent gates.
引用
收藏
页数：20
相关论文
共 50 条
  • [1] Zero entries distribution in a unitary matrix
    Shaomin Liu
    Changchun Feng
    Lin Chen
    [J]. Quantum Information Processing, 22
  • [2] On the zero entries in a unitary matrix
    Song, Zhiwei
    Chen, Lin
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (07): : 1271 - 1280
  • [3] Zero entries in multipartite product unitary matrices
    Feng, Changchun
    Chen, Lin
    [J]. QUANTUM INFORMATION PROCESSING, 2021, 20 (07)
  • [4] Zero entries in multipartite product unitary matrices
    Changchun Feng
    Lin Chen
    [J]. Quantum Information Processing, 2021, 20
  • [5] MATRIX FUNCTIONS AFFORDED BY ENTRIES OF UNITARY REPRESENTATIONS
    ISHAQ, M
    MERRIS, R
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1979, 25 (01) : 255 - 269
  • [6] THE MAXIMUM NUMBER OF ZERO ENTRIES IN A GOOD MATRIX
    JAGERS, AA
    [J]. AMERICAN MATHEMATICAL MONTHLY, 1986, 93 (05): : 401 - 402
  • [7] Zero correlation distribution of ZCZ sequences obtained from a perfect sequence and a unitary matrix
    Uehara, Satoshi
    Jono, Shuichi
    [J]. PROCEEDINGS OF 2007 INTERNATIONAL WORKSHOP ON SIGNAL DESIGN AND ITS APPLICATIONS IN COMMUNICATIONS, 2007, : 200 - +
  • [8] Zero Correlation Distribution of ZCZ Sequences Obtained from a Perfect Sequence and a Unitary Matrix
    Uehara, Satoshi
    Jono, Shuichi
    Nogami, Yasuyuki
    [J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2008, E91A (12) : 3745 - 3748
  • [9] Product of diagonal entries of the unitary orbit of a 3-by-3 normal matrix
    Nakazato, Hiroshi
    Bebiano, Natalia
    da Providencia, Joao
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 429 (04) : 698 - 715
  • [10] The Distribution of Permutation Matrix Entries Under Randomized Basis
    Tsou, Benjamin
    [J]. JOURNAL OF THEORETICAL PROBABILITY, 2020, 33 (03) : 1506 - 1522
12345