Phys. Rev. A 81, 032301 (2010) [15 pages]Topological subsystem codesReceived 26 October 2009; published 3 March 2010 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. © 2010 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.81.032301
DOI:
10.1103/PhysRevA.81.032301
PACS:
03.67.Pp
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.