Thresholds for topological codes in the presence of loss

Stace, Thomas M., Barrett, Sean D. and Doherty, Andrew C. (2009) Thresholds for topological codes in the presence of loss. Physical Review Letters, 102 20: 200501.1-200501.4. doi:10.1103/PhysRevLett.102.200501

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Author Stace, Thomas M.
Barrett, Sean D.
Doherty, Andrew C.
Title Thresholds for topological codes in the presence of loss
Journal name Physical Review Letters   Check publisher's open access policy
ISSN 0031-9007
1079-7114
Publication date 2009-05-18
Year available 2009
Sub-type Article (original research)
DOI 10.1103/PhysRevLett.102.200501
Open Access Status File (Publisher version)
Volume 102
Issue 20
Start page 200501.1
End page 200501.4
Total pages 4
Editor George Basbas
Jack Sandweiss
Reinhardt B. Schuhmann
Stanley G. Brown
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Subject C1
970102 Expanding Knowledge in the Physical Sciences
0206 Quantum Physics
Abstract Many proposals for quantum information processing are subject to detectable loss errors. In this Letter, we show that topological error correcting codes, which protect against computational errors, are also extremely robust against losses. We present analytical results showing that the maximum tolerable loss rate is 50%, which is determined by the square-lattice bond percolation threshold. This saturates the bound set by the no-cloning theorem. Our numerical results support this and show a graceful trade-off between tolerable thresholds for computational and loss errors.
Keyword Tolerant quantum computation
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article number 200501

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
2010 Higher Education Research Data Collection
ERA 2012 Admin Only
 
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Citation counts: TR Web of Science Citation Count  Cited 43 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 47 times in Scopus Article | Citations
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Created: Thu, 03 Sep 2009, 18:01:21 EST by Mr Andrew Martlew on behalf of Physics