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Non-Abelian geometric phases in a system of coupled quantum bits
School of Computer Science, Physics and Mathematics, Linnaeus Univ., Sweden.
Uppsala University, Disciplinary Domain of Science and Technology, Chemistry, Department of Chemistry - Ångström, Theoretical Chemistry. (Quantum information theory)
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
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 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.
Keyword [en]
Geometric phase, spin chains, quantum computation
National Category
Condensed Matter Physics
Research subject
Physics; Physics with spec. in Atomic, Molecular and Condensed Matter Physics
Identifiers
URN: urn:nbn:se:uu:diva-204084DOI: 10.1103/PhysRevA.89.022117ISI: 000332330800001OAI: oai:DiVA.org:uu-204084DiVA: diva2:637718
Funder
Swedish Research Council
Note

Additional address (ES): Centre for Quantum Technologies, NUS, Singapore

Available from: 2013-07-22 Created: 2013-07-22 Last updated: 2017-12-06Bibliographically approved

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Publisher's full textarxiv:1307.5315

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Sjöqvist, Erik

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