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Article overview
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Methods of constructing braid group representation and entanglement in a Yang-Baxter sysytem | Taotao HU
; Gangcheng Wang
; Chunfang Sun
; Chengcheng Zhou
; Qingyong Wang
; kang Xue
; | Date: |
30 Mar 2009 | Abstract: | In this paper we present reducible representation of the $n^{2}$ braid group
representation which is constructed on the tensor product of n-dimensional
spaces. By some combining methods we can construct more arbitrary $n^{2}$
dimensional braiding matrix S which satisfy the braid relations, and we get
some useful braiding matrix S. By Yang-Baxteraition approach, we derive a $
9 imes9 $ unitary $ reve{R}( heta, phi_{1},phi_{2})$ according to a $
9 imes9 $ braiding S-matrix we have constructed with parameters $phi_{1}$,
$phi_{2}$ and $ heta$. The entanglement properties of $ reve{R}( heta,
phi_{1},phi_{2})$-matrix is investigated, and the arbitrary degree of
entanglement for two-qutrit entangled states can be generated via $
reve{R}( heta, phi_{1},phi_{2})$-matrix acting on the standard basis. | Source: | arXiv, 0903.5230 | Services: | Forum | Review | PDF | Favorites |
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