Correlation-induced non-Abelian quantum holonomies
2011 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, Vol. 44, no 14, 145301- p.Article in journal (Refereed) Published
In the context of two-particle interferometry, we construct a parallel transport condition that is based on the maximization of coincidence intensity with respect to local unitary operations on one of the subsystems. The dependence on correlation is investigated and it is found that the holonomy group is generally non-Abelian, but Abelian for uncorrelated systems. It is found that our framework contains the Lévay geometric phase (2004 J. Phys. A: Math. Gen. 37 1821) in the case of two-qubit systems undergoing local SU(2) evolutions.
Place, publisher, year, edition, pages
2011. Vol. 44, no 14, 145301- p.
Quantum holonomy, quantum correlations, quantum interferometry
Research subject Physics
IdentifiersURN: urn:nbn:se:uu:diva-148641DOI: 10.1088/1751-8113/44/14/145301ISI: 000288597500011OAI: oai:DiVA.org:uu-148641DiVA: diva2:402614
Also in IOP Select, http://Select.iop.org. Additional address (E. Sjöqvist): Centre for Quantum Technologies, NUS, Singapore. Additional address (M. S. Williamson): Erwin Schrödinger International Institute for Mathematical Physics, Wien, Austria2011-03-092011-03-092012-08-01Bibliographically approved