Generalization of the geometric phase to completely positive maps
2003 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 67, no 2, 020101(R)- p.Article in journal (Refereed) Published
We generalize the notion of relative phase to completely positive maps with known unitary representation, based on interferometry. Parallel transport conditions that define the geometric phase for such maps are introduced. The interference effect is embodied in a set of interference patterns defined by flipping the environment state in one of the two paths. We show for the qubit that this structure gives rise to interesting additional information about the geometry of the evolution defined by the CP map.
Place, publisher, year, edition, pages
2003. Vol. 67, no 2, 020101(R)- p.
Geometric phase, completely positive maps, mixed quantum states
Research subject Physics
IdentifiersURN: urn:nbn:se:uu:diva-45750DOI: 10.1103/PhysRevA.67.020101ISI: 000181361200001OAI: oai:DiVA.org:uu-45750DiVA: diva2:73659
Also in Virtual Journal of Quantum Information, March issue 20032006-12-142006-12-142011-10-05