Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Factorized Three-body S-Matrix Restrained by Yang-Baxter Equation and
  Quantum Entanglements   This paper investigates the physical effects of Yang-Baxter equation (YBE) to
quantum entanglements through the 3-body S-matrix in entangling parameter
space. The explicit form of 3-body S-matrix $\breve{R}_{123}(\theta,\varphi)$
based on the 2-body S-matrices is given due to the factorization condition of
YBE. The corresponding chain Hamiltonian has been obtained and diagonalized,
also the Berry phase for 3-body system is given. It turns out that by choosing
different spectral parameters the $\breve{R}(\theta,\varphi)$-matrix gives GHZ
and W state respectively. The extended 1-D Kitaev toy model has been derived.
Examples of the role of the model in entanglement transfer are discussed.

22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an