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arXiv · 1405.5153

Majorana Braiding Dynamics on Nanowires

Cássio Sozinho Amorim·Kazuto Ebihara·Ai Yamakage·Yukio Tanaka·Masatoshi Sato
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Abstract

Superconductors hosting long-sought excitations called Majorana fermions may be ultimately used as qubits of fault-tolerant topological quantum computers. A crucial challenge toward the topological quantum computer is to implement quantum operation of nearly degenerate quantum states as a dynamical process of Majorana fermions. In this paper, we investigate the braiding dynamics of Majorana fermions on superconducting nanowires. In a finite size system, a non- adiabatic dynamical process dominates the non-Abelian braiding that operates qubits of Majorana fermions. Our simulations clarify how qubits behave in the real-time braiding process, and elucidate the optimum condition of superconducting nanowires for efficient topological quantum operation.

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Cássio Sozinho Amorim, Kazuto Ebihara, Ai Yamakage, Yukio Tanaka, Masatoshi Sato. 2014-05-20. Majorana Braiding Dynamics on Nanowires. https://doi.org/10.1103/physrevb.91.174305

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