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Quantum computing


Unpaired Majorana fermions in quantum wires

 а, б
а Microsoft Research, США
б Институт теоретической физики им. Л.Д. Ландау, просп. Акад. Семенова 1а, Черноголовка, Московская обл., Ногинский р-н, 142432, Российская Федерация

Certain one-dimensional Fermi systems have an energy gap in the bulk spectrum while boundary states are described by one Majorana operator per boundary point. A finite system of length $L$ possesses two ground states with an energy difference proportional to $\mathrm{exp}(-L/l_0)$ and different fermionic parities. Such systems can be used as qubits since they are intrinsically immune to decoherence. The property of a system to have boundary Majorana fermions is expressed as a condition on the bulk electron spectrum. The condition is satisfied in the presence of an arbitrary small energy gap induced by proximity of a three-dimensional p-wave superconductor, provided that the normal spectrum has an odd number of Fermi points in each half of the Brillouin zone (each spin component counts separately).

Текст pdf (205 Кб)
English fulltext is available at DOI: 10.1070/1063-7869/44/10S/S29
PACS: 71.10.+Pm, 73.22.Dj, 85.25.−j, 73.40.Gk (все)
DOI: 10.1070/1063-7869/44/10S/S29
URL: https://ufn.ru/ru/articles/2001/13/ac/
Цитата: Kitaev A Yu "Unpaired Majorana fermions in quantum wires" УФН 171 131–136 (2001)
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English citation: Kitaev A Yu “Unpaired Majorana fermions in quantum wires” Phys. Usp. 44 131–136 (2001); DOI: 10.1070/1063-7869/44/10S/S29

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