Monday, July 22, 2013

1307.5315 (Vahid Azimi Mousolou et al.)

Non-Abelian geometric phase for orange slice shaped paths    [PDF]

Vahid Azimi Mousolou, Erik Sjöqvist
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.
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