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GHZ States, Almost-Complex Structure and Yang–Baxter Equation

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Recent research suggests that there are natural connections between quantum information theory and the Yang–Baxter equation. In this paper, in terms of the almost-complex structure and with the help of its algebra, we define the Bell matrix to yield all the Greenberger–Horne–Zeilinger (GHZ) states from the product basis, prove it to form a unitary braid representation and presents a new type of solution of the quantum Yang–Baxter equation. We also study Yang–Baxterization, Hamiltonian, projectors, diagonalization, noncommutative geometry, quantum algebra and FRT dual algebra associated with this generalized Bell matrix.

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Authors and Affiliations

  1. Department of Physics, University of Utah, 115 S, 1400 E, Room 201, Salt Lake City, UT, 84112-0830, USA

    Yong Zhang

  2. Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin, 300071, P.R. China

    Mo-Lin Ge

Authors
  1. Yong Zhang
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  2. Mo-Lin Ge
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Correspondence to Yong Zhang.

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Zhang, Y., Ge, ML. GHZ States, Almost-Complex Structure and Yang–Baxter Equation. Quantum Inf Process 6, 363–379 (2007). https://doi.org/10.1007/s11128-007-0064-3

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  • DOI: https://doi.org/10.1007/s11128-007-0064-3

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