Majorana braiding dynamics in nanowires
May 20, 20148 pages
Published in:
- Phys.Rev.B 91 (2015) 174305
- Published: May 26, 2015
e-Print:
- 1405.5153 [cond-mat.mes-hall]
View in:
Citations per year
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
References(60)
Figures(5)
- [1]
- [2]
- [3]
- [4]
- [5]
- [6]
- [7]
- [8]
- [9]
- [10]
- [11]
- [12]
- [13]
- [14]
- [15]
- [16]
- [17]
- [18]
- [19]
- [20]
- [21]
- [22]
- [23]
- [24]
- [25]