Non-Abelian geometric phases in a system of coupled quantum bits
2014 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 89, no 2, 022117- p.Article in journal (Refereed) Published
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 interference 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 nearest-neighbor interactions.
Place, publisher, year, edition, pages
2014. Vol. 89, no 2, 022117- p.
Geometric phase, spin chains, quantum computation
Condensed Matter Physics
Research subject Physics; Physics with spec. in Atomic, Molecular and Condensed Matter Physics
IdentifiersURN: urn:nbn:se:uu:diva-204084DOI: 10.1103/PhysRevA.89.022117ISI: 000332330800001OAI: oai:DiVA.org:uu-204084DiVA: diva2:637718
FunderSwedish Research Council
Additional address (ES): Centre for Quantum Technologies, NUS, Singapore2013-07-222013-07-222014-04-09Bibliographically approved