Majorana Braiding Dynamics on Nanowires

TL;DR

This paper explores the real-time braiding dynamics of Majorana fermions on superconducting nanowires, providing insights into optimizing conditions for topological quantum computing.

Contribution

It offers the first detailed simulation of non-adiabatic Majorana braiding dynamics in finite systems, highlighting optimal conditions for quantum operations.

Findings

Non-adiabatic effects dominate in finite systems during braiding.

Simulations identify optimal nanowire parameters for quantum operations.

Real-time behavior of Majorana qubits clarified.

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.