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Composite anyon coding and the initialization of a topological quantum computer

König, Robert (2010) Composite anyon coding and the initialization of a topological quantum computer. Physical Review A, 81 (5). Art. No. 052309. ISSN 1050-2947.

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Schemes for topological quantum computation are usually based on the assumption that the system is initially prepared in a specific state. In practice, this state preparation is expected to be challenging as it involves nontopological operations which heavily depend on the experimental realization and are not naturally robust against noise. Here we show that this assumption can be relaxed by using composite anyons: starting from an unknown state with reasonable physical properties, it is possible to efficiently distill suitable initial states for computation purely by braiding, i.e., reversible gates. This is achieved by encoding logical information in a subsystem code with gauge system corresponding to the internal degrees of freedom of composite objects.

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Additional Information:© 2010 The American Physical Society. Received 27 January 2010; published 10 May 2010. The author thanks John Preskill and Ben Reichardt for comments on an earlier draft. He also thanks the Erwin Schr¨odinger Institute and the Kavli Institute for Theoretical Physics for their hospitality. Support by NSF grants PHY- 0803371 and PHY05-51164 and SNF grant PA00P2-126220 is gratefully acknowledged.
Funding AgencyGrant Number
Stanford Nanofabrication Facility (SNF)PA00P2-126220
Issue or Number:5
Classification Code:PACS: 03.67.Lx, 03.67.Pp.
Record Number:CaltechAUTHORS:20100616-111635116
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:18703
Deposited By: Tony Diaz
Deposited On:09 Jul 2010 20:44
Last Modified:03 Oct 2019 01:46

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