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 quantum bits (qubits) in n=2(j) qubits and correct t=1 error.
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Middlesex Univ, Fac Sci & Technol, Dept Comp Sci, London NW4 4BT, England
Univ Surrey, Ctr Vis Speech & Signal Proc, Guildford GUZ 7XH, Surrey, EnglandMiddlesex Univ, Fac Sci & Technol, Dept Comp Sci, London NW4 4BT, England
Windridge, David
Mengoni, Riccardo
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Univ Verona, Dept Informat, I-37134 Verona, ItalyMiddlesex Univ, Fac Sci & Technol, Dept Comp Sci, London NW4 4BT, England
Mengoni, Riccardo
Nagarajan, Rajagopal
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Middlesex Univ, Fac Sci & Technol, Dept Comp Sci, London NW4 4BT, EnglandMiddlesex Univ, Fac Sci & Technol, Dept Comp Sci, London NW4 4BT, England