Two Gilbert-Varshamov-type existential bounds for asymmetric quantum error-correcting codes

DOI10.1007/s11128-017-1748-yzbMath1382.81058arXiv1705.04087OpenAlexW2613790330WikidataQ57735003 ScholiaQ57735003MaRDI QIDQ1698783

Ryutaroh Matsumoto

Publication date: 16 February 2018

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.04087

zbMATH Keywords

quantum error correctionGilbert-Varshamov boundasymmetric error

Mathematics Subject Classification ID

Quantum computation (81P68) Bounds on codes (94B65) Quantum coding (general) (81P70)

Related Items (3)

Asymmetric quantum codes with high code rates ⋮ On nested code pairs from the Hermitian curve ⋮ From primary to dual affine variety codes over the Klein quartic

Cites Work

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• Error Correcting Codes in Quantum Theory
• Quantum Error Correction and Orthogonal Geometry
• Nonbinary quantum stabilizer codes
• Quantum error correction via codes over GF(4)
• Lower bound for the quantum capacity of a discrete memoryless quantum channel

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