GHZ States, Almost-Complex Structure and Yang--Baxter Equation (I)
量子物理
2008-11-26 v1 高能物理 - 理论
数学物理
math.MP
摘要
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.
引用
@article{arxiv.quant-ph/0701244,
title = {GHZ States, Almost-Complex Structure and Yang--Baxter Equation (I)},
author = {Yong Zhang and Mo-Lin Ge},
journal= {arXiv preprint arXiv:quant-ph/0701244},
year = {2008}
}
备注
17 pages, latex