arXiv:quant-ph/0701244

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

Yong Zhang, Mo‐Lin Ge

Published Jan 31, 2007• 4 citations

Abstract

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.

DOI: 10.48550/arxiv.quant-ph/0701244

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