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- Title
METHOD OF CONSTRUCTING BRAID GROUP REPRESENTATION AND ENTANGLEMENT IN A 9 × 9 YANG–BAXTER SYSTEM.
- Authors
HU, TAOTAO; WANG, GANGCHENG; SUN, CHUNFANG; ZHOU, CHENGCHENG; WANG, QINGYONG; XUE, KANG
- Abstract
In this paper, we present reducible representation of the n2 braid group representation which is constructed on the tensor product of n-dimensional spaces. Specifically, it is shown that via a combining method, we can construct more n2 dimensional braiding S-matrices which satisfy the braid relations. By Yang–Baxterization approach, we derive a 9 × 9 unitary $\breve{R}$-matrix according to a 9 × 9 braiding S-matrix we have constructed. The entanglement properties of $\breve{R}$-matrix is investigated, and the arbitrary degree of entanglement for two-qutrit entangled states can be generated via $\breve{R}$-matrix acting on the standard basis.
- Subjects
BRAID theory; MATRICES (Mathematics); TENSOR products; LINEAR algebra; LOW-dimensional topology
- Publication
Reviews in Mathematical Physics, 2009, Vol 21, Issue 9, p1081
- ISSN
0129-055X
- Publication type
Article
- DOI
10.1142/S0129055X09003827