Two-qubit and three-qubit geometry and Hopf fibrations

被引:0
|
作者
Mosseri, R [1 ]
机构
[1] Univ Paris 06, CNRS, UMR 7588, Phys Solides Grp, F-75251 Paris 05, France
来源
关键词
D O I
暂无
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
This chapter reviews recent attempts to describe the two-qubit and three-qubit Hilbert space geometries with the help of Hopf fibrations. In both cases, it is shown that the associated Hopf map is strongly sensitive to states entanglement content. In the two-qubit case, a generalization of the one-qubit celebrated Bloch sphere representation is described.
引用
收藏
页码:187 / 203
页数:17
相关论文
共 50 条
  • [21] Two-qubit causal structures and the geometry of positive qubit-maps
    Kubler, Jonas M.
    Braun, Daniel
    NEW JOURNAL OF PHYSICS, 2018, 20
  • [22] Mirror symmetry in the geometry of nonlocal two-qubit gates and universal two-qubit quantum circuits
    Selvan, Karthick
    Balakrishnan, S.
    EUROPEAN PHYSICAL JOURNAL D, 2023, 77 (07):
  • [23] Mirror symmetry in the geometry of nonlocal two-qubit gates and universal two-qubit quantum circuits
    Karthick Selvan
    S. Balakrishnan
    The European Physical Journal D, 2023, 77
  • [24] Controlled Remote Preparation of a Two-Qubit State via Positive Operator-Valued Measure and Two Three-Qubit Entanglements
    Song, Jin-Fan
    Wang, Zhang-Yin
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2011, 50 (08) : 2410 - 2425
  • [25] Controlled Remote Preparation of a Two-Qubit State via Positive Operator-Valued Measure and Two Three-Qubit Entanglements
    Jin-Fan Song
    Zhang-Yin Wang
    International Journal of Theoretical Physics, 2011, 50 : 2410 - 2425
  • [26] The Volume of Two-Qubit States by Information Geometry
    Rexiti, Milajiguli
    Felice, Domenico
    Mancini, Stefano
    ENTROPY, 2018, 20 (02):
  • [27] Geometry of Bloch vectors in two-qubit system
    Jakóbczyk, L
    Siennicki, M
    PHYSICS LETTERS A, 2001, 286 (06) : 383 - 390
  • [28] Geometry of the three-qubit state, entanglement and division algebras
    Bernevig, BA
    Chen, HD
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (30): : 8325 - 8339
  • [29] Three-qubit thermal entanglement via entanglement swapping on two-qubit Heisenberg XY chains -: art. no. 062302
    Kao, ZC
    Ng, J
    Yeo, Y
    PHYSICAL REVIEW A, 2005, 72 (06):
  • [30] Quantum discord and geometry for a class of two-qubit states
    Li, Bo
    Wang, Zhi-Xi
    Fei, Shao-Ming
    PHYSICAL REVIEW A, 2011, 83 (02):