Quantum Error Correction and Orthogonal Geometry

Details Quantum Error Correction and Orthogonal Geometry Quantum Error Correction and Orthogonal Geometry

1996-05-09

arxiv.org/abs/quant-ph/9605005v3

Phys.Rev.Lett.78:405-408,1997

Physics

Quantum Physics

RevTex, 4 pages, no figures, submitted to Phys. Rev. Letters. We have changed the statement of Theorem 2 to correct it -- we n

Scientific paper

10.1103/PhysRevLett.78.405

A group theoretic framework is introduced that simplifies the description of
known quantum error-correcting codes and greatly facilitates the construction
of new examples. Codes are given which map 3 qubits to 8 qubits correcting 1
error, 4 to 10 qubits correcting 1 error, 1 to 13 qubits correcting 2 errors,
and 1 to 29 qubits correcting 5 errors.

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