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

作者:Mousolou Vahid Azimi*; Sjoqvist Erik
来源:Physical Review A, 2014, 89(2): 022117.
DOI:10.1103/PhysRevA.89.022117

摘要

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.

  • 出版日期2014-2-20

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