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Quantum error correction and orthogonal geometry

May, 1996

4 pages

Published in:

Phys.Rev.Lett. 78 (1997) 405-408

e-Print:

quant-ph/9605005 [quant-ph]

DOI:

10.1103/PhysRevLett.78.405

View in:

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Abstract:

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.

Note:

RevTex, 4 pages, no figures, submitted to Phys. Rev. Letters. We have changed the statement of Theorem 2 to correct it -- we now get worse rates than we previously claimed for our quantum codes. Minor changes have been made to the rest of the paper

References(18)

Figures(0)

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