Topological subsystem codes
Name
Bombin-2010-Topological subsyste.pdf
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619.78 KB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Bombin, Hector
Date Issued
March 2010
Journal
Physical Review A
Publisher
American Physical Society
Citation
Bombin, H. "Topological subsystem codes." Physical Review A 81.3 (2010): 032301. © 2010 The American Physical Society
Version
Final published version
Abstract
We introduce a family of two-dimensional (2D) topological subsystem quantum error-correcting codes. The gauge group is generated by two-local Pauli operators, so that two-local measurements are enough to recover the error syndrome. We study the computational power of code deformation in these codes and show that boundaries cannot be introduced in the usual way. In addition, we give a general mapping connecting suitable classical statistical mechanical models to optimal error correction in subsystem stabilizer codes that suffer from depolarizing noise.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevA.81.032301
