Clifford Algebra, its Generalizations, and Applications to Quantum Information and Computing

被引:0
|
作者
Thalanayar S. Santhanam
机构
[1] Saint Louis University,Department of Physics
来源
关键词
15A66; 81P68; Generalized Clifford algebra; quantum computation; entangled states;
D O I
暂无
中图分类号
学科分类号
摘要
We discuss a generalization of Clifford algebras and its applications in quantum mechanics in finite dimensions.
引用
收藏
页码:885 / 892
页数:7
相关论文
共 50 条
  • [1] Clifford Algebra, its Generalizations, and Applications to Quantum Information and Computing
    Santhanam, Thalanayar S.
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2010, 20 (3-4) : 885 - 892
  • [2] Exploring generalizations of clifford algebra
    Carbno, CC
    CLIFFORD (GEOMETRIC) ALGEBRAS WITH APPLICATIONS TO PHYSICS, MATHEMATICS, AND ENGINEERING, 1996, : 459 - 462
  • [3] Clifford algebra-parametrized octonions and generalizations
    da Rocha, R.
    Vaz, J., Jr.
    JOURNAL OF ALGEBRA, 2006, 301 (02) : 459 - 473
  • [4] Clifford algebra as quantum language
    Baugh, J
    Finkelstein, DR
    Galiautdinov, A
    Saller, H
    JOURNAL OF MATHEMATICAL PHYSICS, 2001, 42 (04) : 1489 - 1500
  • [5] Deformed Clifford algebra and supersymmetric quantum mechanics on a phase space with applications in quantum optics
    Bugdayci, I.
    Vercin, A.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (38)
  • [6] Clifford algebras, algebraic spinors, quantum information and applications
    Trindade, Marco A. S.
    Floquet, Sergio
    Vianna, J. David M.
    MODERN PHYSICS LETTERS A, 2020, 35 (29)
  • [7] Is the brain a 'Clifford algebra quantum computer'?
    Labunets, V
    Rundblad, E
    Astola, J
    APPLICATIONS OF GEOMETRIC ALGEBRA IN COMPUTER SCIENCE AND ENGINEERING, 2002, : 285 - 295
  • [8] Clifford algebra and quantum logic gates
    Li W.
    Advances in Applied Clifford Algebras, 2004, 14 (2) : 225 - 230
  • [9] Geometric Algebra Quantum Convolutional Neural Network A model using geometric (Clifford) algebras and quantum computing
    Altamirano-Escobedo, Guillermo
    Bayro-Corrochano, Eduardo
    IEEE SIGNAL PROCESSING MAGAZINE, 2024, 41 (02) : 75 - 85
  • [10] Is the brain a "Clifford algebra quantum computer"?
    Labunets, VG
    Labunets-Rundblad, EV
    Astola, J
    MATERIALS AND DEVICES FOR PHOTONIC CIRCUITS II, 2001, 4453 : 134 - 145