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A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound

Daniel Gottesman

quant-pharXiv:quant-ph/9604038

Abstract

I develop methods for analyzing quantum error-correcting codes, and use these methods to construct an infinite class of codes saturating the quantum Hamming bound. These codes encode k=n-j-2 qubits in n=2j qubits and correct t=1 error.

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