From multiplicative unitaries to quantum groups

被引:0
|
作者
Woronowicz, SL
机构
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
An alternative version of the theory of multiplicative unitaries is presented. Instead of the original regularity condition of Baaj and Skandalis we formulate another condition selecting manageable multiplicative unitaries. The manageability is the property of multiplicative unitaries coming from the quantum group theory. For manageable multiplicative unitaries we reproduce all the essential results of the original paper of Baaj and Skandalis and much more. In particular the existence of the antipode and its polar decomposition is shown.
引用
收藏
页码:127 / 149
页数:23
相关论文
共 50 条
  • [31] Efficient quantum circuits for arbitrary sparse unitaries
    Jordan, Stephen P.
    Wocjan, Pawel
    PHYSICAL REVIEW A, 2009, 80 (06):
  • [32] C*-PSEUDO-MULTIPLICATIVE UNITARIES, HOPF C*-BIMODULES AND THEIR FOURIER ALGEBRAS
    Timmermann, Thomas
    JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2012, 11 (01) : 189 - 220
  • [33] A family of unitaries for the quantum period finding algorithm
    John George Francis
    Anil Shaji
    Quantum Information Processing, 22
  • [34] From Quantum Groups to Groups
    Kalantar, Mehrdad
    Neufang, Matthias
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2013, 65 (05): : 1073 - 1094
  • [35] A family of unitaries for the quantum period finding algorithm
    Francis, John George
    Shaji, Anil
    QUANTUM INFORMATION PROCESSING, 2023, 22 (08)
  • [36] Efficient quantum circuits for diagonal unitaries without ancillas
    Welch, Jonathan
    Greenbaum, Daniel
    Mostame, Sarah
    Aspuru-Guzik, Alan
    NEW JOURNAL OF PHYSICS, 2014, 16
  • [37] A Coding Theorem for Bipartite Unitaries in Distributed Quantum Computation
    Wakakuwa, Eyuri
    Soeda, Akihito
    Murao, Mio
    2015 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), 2015, : 705 - 709
  • [38] Variational Quantum Process Tomography of Non-Unitaries
    Xue, Shichuan
    Wang, Yizhi
    Liu, Yong
    Shi, Weixu
    Wu, Junjie
    ENTROPY, 2023, 25 (01)
  • [39] Pseudo-multiplicative unitaries associated with inclusions of finite-dimensional C*-algebras
    O'uchi, M
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 341 (1-3) : 201 - 218
  • [40] THE MULTIPLICATIVE GROUPS OF QUASIFIELDS
    KALLAHER, MJ
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1987, 39 (04): : 784 - 793