Maximal entanglement entanglement-assisted quantum codes constructed from linear codes

Maximal entanglement entanglement-assisted quantum codes constructed from linear codes An entanglement-assisted quantum error-correcting code (EAQECC) is a generalization of standard stabilizer quantum code. Maximal entanglement EAQECCs can achieve the EA-hashing bound asymptotically. In this work, the construction of quaternary zero radical codes is discussed, including the construction of low- dimensional quaternary codes for all code lengths and higher- dimensional quaternary codes for short lengths. Using the obtained quaternary codes, we construct many maximal entanglement EAQECCs with very good parameters. Some of these EAQECCs are optimal codes, and some of them are better than previously known ones. Combining these results with known bounds, we formulate a table of upper and lower bounds on the minimum distance of any maximal entanglement EAQECCs with length up to 20 channel qubits. Quantum Information Processing Springer Journals

Maximal entanglement entanglement-assisted quantum codes constructed from linear codes

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Springer US
Copyright © 2014 by Springer Science+Business Media New York
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
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