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Numerical analysis of quasiholes of the moore-read wave function.

Abstract:

We demonstrate numerically that non-Abelian quasihole (qh) excitations of the nu=5/2 fractional quantum Hall state have some of the key properties necessary to support quantum computation. We find that as the qh spacing is increased, the unitary transformation which describes winding two qh's around each other converges exponentially to its asymptotic limit and that the two orthogonal wave functions describing a system with four qh's become exponentially degenerate. We calculate the length sc...

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Publication status:
Published

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
Journal:
Physical Review Letters More from this journal
Volume:
103
Issue:
7
Pages:
076801
Publication date:
2009-08-01
DOI:
EISSN:
1079-7114
ISSN:
0031-9007
Language:
English
Pubs id:
pubs:158536
UUID:
uuid:0d0e607d-cb90-4c81-bd0d-fcf96de8e5ed
Local pid:
pubs:158536
Source identifiers:
158536
Deposit date:
2012-12-19

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