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Non-Abelian geometric phases in a system of coupled quantum bits
Linnaeus University, Faculty of Technology, Department of Physics and Electrical Engineering.
Uppsala Univ.
2014 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 89, no 2, p. 022117-Article in journal (Refereed) Published
Abstract [en]

A common strategy to measure the Abelian geometric phase for a qubit is to let it evolve along an orange-slice-shaped path connecting two antipodal points on the Bloch sphere by two different semi-great-circles. Since the dynamical phases vanish for such paths, this allows for direct measurement of the geometric phase. Here, we generalize the "orange-slice" setting to the non-Abelian case. The proposed method to measure the non-Abelian geometric phase can be implemented in a cyclic chain of four qubits with controllable interactions.

Place, publisher, year, edition, pages
2014. Vol. 89, no 2, p. 022117-
National Category
Physical Sciences
Research subject
Natural Science, Physics
Identifiers
URN: urn:nbn:se:lnu:diva-33575DOI: 10.1103/PhysRevA.89.022117ISI: 000332330800001Scopus ID: 2-s2.0-84894573002OAI: oai:DiVA.org:lnu-33575DiVA, id: diva2:709815
Available from: 2014-04-03 Created: 2014-04-03 Last updated: 2017-12-05Bibliographically approved

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Azimi Mousolou, Vahid

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