Wire codes are a construction that converts any stabilizer code into a local weight-3 subsystem code on an arbitrary graph via low-density Tanner-graph embedding, with overhead governed by the embedding quality.
Topological Subsystem Codes
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
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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UNVERDICTED 2representative citing papers
Constructs free-fermion subsystem codes with a 2D topological example, graph-based solvability algorithm, and gap analysis via skew energy and median eigenvalues.
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Wire Codes
Wire codes are a construction that converts any stabilizer code into a local weight-3 subsystem code on an arbitrary graph via low-density Tanner-graph embedding, with overhead governed by the embedding quality.
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Free-Fermion Subsystem Codes
Constructs free-fermion subsystem codes with a 2D topological example, graph-based solvability algorithm, and gap analysis via skew energy and median eigenvalues.