Abstract
In this paper we construct a new 8 X 8 M matrix from the 4 X 4 M matrix, where M/M is the image of the braid group representation. The 8 X 8 M matrix and the 4 X 4 M matrix both satisfy extraspecial 2-group algebra relations. By Yang-Baxteration approach, we derive a unitary <(R)over arc>h(theta, phi) matrix from the M matrix with parameters phi and theta. Three-qubit entangled states can be generated by using the <(R)over arc>h(theta, phi) matrix. A Hamiltonian for three qubits is constructed from the unitary <(R)over arc>h(theta, phi) matrix. We then study the entanglement and Berry phase of the Yang-Baxter system. (C) 2009 The American Physical Society. [DOI: 10.1063/1.3177295]