Physics – Quantum Physics
Scientific paper
2009-08-28
Phys. Rev. A 81, 032301 (2010)
Physics
Quantum Physics
16 pages, 11 figures, explanations added, typos corrected
Scientific paper
10.1103/PhysRevA.81.032301
We introduce a family of 2D topological subsystem quantum error-correcting codes. The gauge group is generated by 2-local Pauli operators, so that 2-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.
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