Berry phase and entanglement of three qubits in a new Yang–Baxter system.

In this paper we construct a new 8×8 M matrix from the 4×4 M matrix, where M/M is the image of the braid group representation. The 8×8 M matrix and the 4×4 M matrix both satisfy extraspecial 2-group algebra relations. By Yang–Baxteration approach, we derive a unitary R(θ,φ) matrix from the M matrix with parameters φ and θ. Three-qubit entangled states can be generated by using the R(θ,φ) matrix. A Hamiltonian for three qubits is constructed from the unitary R(θ,φ) matrix. We then study the entanglement and Berry phase of the Yang–Baxter system. [ABSTRACT FROM AUTHOR]