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arXiv · 1307.5315

Non-Abelian geometric phases in a system of coupled quantum bits

Vahid Azimi Mousolou·Erik Sjöqvist
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Abstract

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 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 interactions.

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Vahid Azimi Mousolou, Erik Sjöqvist. 2014-02-20. Non-Abelian geometric phases in a system of coupled quantum bits. https://doi.org/10.1103/physreva.89.022117

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