The Topological Basis Realization for Six Qubits and the Corresponding Heisenberg Spin − 1 2 $-\frac {1}{2}$ Chain ModelThe Topological Basis Realization for Six Qubits and the Corresponding Heisenberg Spin − 1 2 $-\frac {1}{2}$ Chain Model

Qi Yang, Yue Cao, Shiyin Chen +5 more

International Journal of Theoretical PhysicsMar 2, 20181 citation

Topological basis realization associated with Hermitian and non-Hermitian Heisenberg XXZ model

Shiyao Gong, Gangcheng Wang, Yunfei Sang +3 more

We investigate the topological basis realization associated with the Hermitian and non-Hermitian Heisenberg XXZ model based on the matrix representation of the Temperley-Lieb algebra. The results show that the topological space is spanned by the topological basis associated with the Temperley-Lieb algebra. When the q -deformed parameter q is a complex number and | q | = 1 , the corresponding model is the non-Hermitian XXZ model. The real q corresponds to the Hermitan case. The topological basis realization for these two cases is constructed by means of matrix representation of the Temperley-Lieb algebra. Then the properties of the topological basis and ground state are studied. Particularly, the four-qubit Heisenberg XXZ model is investigated in detail. We also give some discussions on the case in which q is a root of unity.We investigate the topological basis realization associated with the Hermitian and non-Hermitian Heisenberg XXZ model based on the matrix representation of the Temperley-Lieb algebra. The results show that the topological space is spanned by the topological basis associated with the Temperley-Lieb algebra. When the q -deformed parameter q is a complex number and | q | = 1 , the corresponding model is the non-Hermitian XXZ model. The real q corresponds to the Hermitan case. The topological basis realization for these two cases is constructed by means of matrix representation of the Temperley-Lieb algebra. Then the properties of the topological basis and ground state are studied. Particularly, the four-qubit Heisenberg XXZ model is investigated in detail. We also give some discussions on the case in which q is a root of unity.

Europhysics Letters (EPL)Jul 18, 20184 citations

The Topological Basis Realization for Six Qubits and the Corresponding Heisenberg Spin − 1 2

-\frac {1}{2}

Chain Model