GHZ States, Almost-Complex Structure and Yang--Baxter Equation (I)

Details GHZ States, Almost-Complex Structure and Yang--Baxter Equation (I) GHZ States, Almost-Complex Structure and Yang--Baxter Equation (I)

2007-01-31

arxiv.org/abs/quant-ph/0701244v1

Quant.Inf.Proc.6:363-379,2007

Physics

Quantum Physics

17 pages, latex

Scientific paper

Recent study suggests that there are natural connections between quantum information theory and the Yang--Baxter equation. In this paper, in terms of the generalized almost-complex structure and with the help of its algebra, we define the generalized Bell matrix to yield all the GHZ states from the product base, prove it to form a unitary braid representation and present 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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