Quantum codes derived from cyclic codes

April 29, 2017 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Giuliano G. La Guardia arXiv ID 1705.00239 Category quant-ph: Quantum Computing Cross-listed cs.IT Citations 27 Venue arXiv.org Last Checked 6 months ago
Abstract
In this note, we present a construction of new nonbinary quantum codes with good parameters. These codes are obtained by applying the Calderbank-Shor-Steane (CSS) construction. In order to do this, we show the existence of (classical) cyclic codes whose defining set consists of only one cyclotomic coset containing at least two consecutive integers.
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