Physics – Quantum Physics
Scientific paper
2009-06-03
Open Syst.Info.Dyn.16: 305-323,2009
Physics
Quantum Physics
21 pages, 2 figures. Contribution to the Proceedings of the 40th Symposium on Mathematical Physics, Torun, Poland, 25-28 June
Scientific paper
When a multi-qubit state evolves under local unitaries it may obtain a geometric phase, a feature dependent on the geometry of the state's projective Hilbert space. A correction term to this geometric phase in addition to the local subsystem phases may appear from correlations between the subsystems. We find this correction term can be characterized completely either by the entanglement or completely by the classical correlations for several classes of entangled state. States belonging to the former set are W states and their mixtures, while members of the latter set are cluster states, GHZ states and two classes of bound entangled state. We probe the structures of these states more finely using local invariants and suggest the cause of the entanglement correction is a gauge field like $SL(2,\mathbb{C})$ invariant recently introduced named twist.
Vedral Vlatko
Williamson Mark S.
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