Manipulation of Majorana states in X-junction geometries

作者：Aristov D N; Gutman D B^*

来源：Journal of Physics A-Mathematical and Theoretical, 2016, 49(31): 315301.

DOI：10.1088/1751-8113/49/31/315301

• Majorana states
• quantum computing
• dephasing
• topological protection
• Berry phase
• X junction

We study quantum manipulation based on four Majorana bound states in X-junction geometry. The parameter space of this setup is bigger than of the previously studied Y-junction and is described by SO(4) symmetry group. In order for quantum computation to be dephasing free, two Majorana states have to stay degenerate at all times. We find a condition necessary for that and compute the Berry's phase, 2 alpha, accumulated during the manipulation. We construct simple protocols for the variety of values of alpha, including pi/8 needed for the purposes of quantum computation. Although the manipulations in general X-junction geometry are not topologically protected, they may prove to be a feasible compromise for aims of quantum computation.

• 出版日期2016-8-5