Majorana braiding dynamics in nanowires

May 20, 2014
8 pages
Published in:
  • Phys.Rev.B 91 (2015) 174305
  • Published: May 26, 2015
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Abstract: (APS)
Superconductors hosting long-sought excitations called Majorana fermions may ultimately be used as qubits of fault-tolerant topological quantum computers. A crucial challenge for the development of practical topological quantum computers is the implementation of quantum operations 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 nonadiabatic dynamical process between nearly degenerate states dominates the braiding that operates qubits of Majorana fermions. Our simulations clarify how qubits behave in the real-time braiding process and elucidate the optimum superconducting nanowire conditions for efficient topological quantum operation.
Note:
  • 7 pages, 5 figures
  • 73.21.Hb
  • 73.20.-r
  • 73.22.Lp
  • 74.45.+c