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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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