New families of concatenated entanglement-assisted quantum codes are claimed to beat known code tables, and the paper attempts to show such codes asymptotically reach the entanglement-assisted Gilbert-Varshamov bound.
Quantum error correction via codes over GF (4),
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Entanglement-Assisted Concatenated Quantum Codes: Parameters and Asymptotic Performance
New families of concatenated entanglement-assisted quantum codes are claimed to beat known code tables, and the paper attempts to show such codes asymptotically reach the entanglement-assisted Gilbert-Varshamov bound.