A representation of extra-special 2-group, entanglement, and Berry phase of two qubits in Yang-Baxter system

作者：Sezer Hasan Cavit^*; Heydari Hoshang

来源：Quantum Information Processing, 2012, 11(6): 1685-1694.

DOI：10.1007/s11128-011-0329-8

• Qubits
• Extra-special 2-group
• Braiding group
• Berry phase
• Entanglement
• Yang-Baxter system

In this paper we show another representations of extra-special 2-groups. Based on this new representation, we infer a matrix which obeys the extra-special 2-groups algebra relations. We also derive a unitary matrix from the using the Yang-Baxterization process. A Hamiltonian for the two qubits is constructed from the unitary matrix. In this way, we study the Berry phase and entanglement of the two-qubit system. The results also establish relations between topological and holonomic quantum computation.

• 出版日期2012-12