A representation of extra-special 2-group, entanglement, and Berry phase of two qubits in Yang-Baxter system
2012 (English)In: Quantum Information Processing, ISSN 1570-0755, E-ISSN 1573-1332, Vol. 11, no 6, 1685-1694 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2012. Vol. 11, no 6, 1685-1694 p.
Qubits, Extra-special 2-group, Braiding group, Berry phase, Entanglement, Yang-Baxter system
Condensed Matter Physics
IdentifiersURN: urn:nbn:se:su:diva-83048DOI: 10.1007/s11128-011-0329-8ISI: 000310088500022OAI: oai:DiVA.org:su-83048DiVA: diva2:573860