19 citations · 29 across the 6 of their papers we have counts for
6 papers
Birman-Wenzl-Murakami Algebra and the Topological Basis
Chengcheng Zhou, Kang Xue, Gangcheng Wang +2
In this paper, we use entangled states to construct 9x9-matrix representations of Temperley-Lieb algebra (TLA), then a family of 9x9-matrix representations of Birman-Wenzl-Murakami…
Quantum tunneling effect and quantum Zeno effect in a Topological system
Gangcheng Wang, Kang Xue, Chunfang Sun +2
A spin interaction Hamiltonian for topological basis is constructed in this paper. When we select proper parameters, this Hamiltonian system can be simulated by a quantum double we…
Birman-Wenzl-Murakami Algebra, Topological parameter and Berry phase
Chengcheng Zhou, Kang Xue, Lidan Gou +3
In this paper, a (3\times3)-matrix representation of the Birman-Wenzl-Murakami(BWM) algebra has been presented. Based on which, unitary matrices (A(θ,ϕ_1,ϕ_2), B(θ,ϕ_1,ϕ_2)) are ge…
The representations of Temperley-Lieb algebras and entanglement in a Yang-Baxter system
Chunfang Sun, Gangcheng Wang, Taotao Hu +3
A method of constructing Temperley-Lieb algebras(TLA) representations has been introduced in [Xue \emph{et.al} arXiv:0903.3711]. Using this method, we can obtain another series of…
Method of constructing braid group representation and entanglement in a Yang-Baxter sysytem
Taotao HU, Gangcheng Wang, Chunfang Sun +3
In this paper we present reducible representation of the braid group representation which is constructed on the tensor product of n-dimensional spaces. By some combining me…
Temperley-Lieb Algebra, Yang-Baxterization and Universal Gate
Gangcheng Wang, Chengcheng Zhou, Chunfang Sun +3
A method of constructing matrix solutions(with matrix elements) of Temperley-Lieb algebra relation is presented in this paper. The single loop of these…