Decoding toric codes on three dimensional simplical complexes

A crystalline approximation theorem for hypersurfaces

Original

John Mathew Sullivan · 1990

Earlier work this paper cites.

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A. R. Calderbank, E. M. Rains, P. W. Shor, and N. J. A. Sloane · 1997

Earlier work this paper cites.

Stablizer Codes and Quantum Error correction

Daniel Gottesman · 1997

Earlier work this paper cites.

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Earlier work this paper cites.

String and membrane condensation on three-dimensional lattices

Alioscia Hamma, Paolo Zanardi, and Xiao-Gang Wen · 2005

Earlier work this paper cites.

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Earlier work this paper cites.

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R. Alicki, M. Horodecki, P. Horodecki, and R. Horodecki · 2010

Earlier work this paper cites.

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Earlier work this paper cites.

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