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Generating topological order from a two-dimensional cluster state using a duality mapping

Abstract:

In this paper, we prove, extend and review possible mappings between the two-dimensional (2D) cluster state, Wen's model, the 2D Ising chain and Kitaev's toric code model. We introduce a 2D duality transformation to map the 2D lattice cluster state into the topologically ordered Wen model. Then, we investigate how this mapping could be achieved physically, which allows us to discuss the rate at which a topologically ordered system can be achieved. Next, using a lattice fermionization method, ...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1088/1367-2630/13/6/065010

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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Atomic and Laser Physics
National Research Foundation More from this funder
Ministry of Education, Singapore More from this funder
European Community More from this funder
Publisher:
IOP Publishing Publisher's website
Journal:
New Journal of Physics Journal website
Volume:
13
Issue:
6
Pages:
Article: 065010
Publication date:
2011-06-05
DOI:
EISSN:
1367-2630
ISSN:
1367-2630
URN:
uuid:71874e96-1bda-46cc-97b9-20c61565660d
Source identifiers:
164299
Local pid:
pubs:164299
Language:
English

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