dorsal/arxiv
View SchemaGHZ States, Almost-Complex Structure and Yang--Baxter Equation (I)
| Authors | Yong Zhang, Mo-Lin Ge |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701244 |
| URL | https://arxiv.org/abs/quant-ph/0701244 |
| Journal | Quant.Inf.Proc.6:363-379,2007 |
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.
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"abstract": "Recent study suggests that there are natural connections between quantum\ninformation theory and the Yang--Baxter equation. In this paper, in terms of\nthe generalized almost-complex structure and with the help of its algebra, we\ndefine the generalized Bell matrix to yield all the GHZ states from the product\nbase, prove it to form a unitary braid representation and present a new type of\nsolution of the quantum Yang--Baxter equation. We also study\nYang-Baxterization, Hamiltonian, projectors, diagonalization, noncommutative\ngeometry, quantum algebra and FRT dual algebra associated with this generalized\nBell matrix.",
"arxiv_id": "quant-ph/0701244",
"authors": [
"Yong Zhang",
"Mo-Lin Ge"
],
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"quant-ph",
"hep-th",
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],
"journal_ref": "Quant.Inf.Proc.6:363-379,2007",
"title": "GHZ States, Almost-Complex Structure and Yang--Baxter Equation (I)",
"url": "https://arxiv.org/abs/quant-ph/0701244"
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