Topological subsystem codes

Author(s)
Bombin, Hector
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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.
Date issued
2010-03
URI
http://hdl.handle.net/1721.1/58592
Department
Massachusetts Institute of Technology. Department of Physics
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
ISSN
1050-2947
1094-1622
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