Majorana braiding dynamics in nanowires - INSPIRE

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Majorana braiding dynamics in nanowires

May 20, 2014

8 pages

Published in:

Phys.Rev.B 91 (2015) 174305

Published: May 26, 2015

e-Print:

1405.5153 [cond-mat.mes-hall]

DOI:

10.1103/PhysRevB.91.174305

View in:

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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

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Figures(5)

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