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

Abstract

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.