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.
Quantum Information Processing – Springer Journals
Published: Sep 21, 2007
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