Quantum error detection .I. Statement of the problem

DOI10.1109/18.841162zbMath1001.94047arXivquant-ph/9906126OpenAlexW2145085841MaRDI QIDQ4503583

Alexei Ashikhmin, Emanuel Knill, Alexander Barg, Simon N. Litsyn

Publication date: 7 September 2000

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/9906126

zbMATH Keywords

error detectionquantum codesprobability of undetected errorShor-Laflamme enumerators

Mathematics Subject Classification ID

Quantum computation (81P68) Other types of codes (94B60) Error probability in coding theory (94B70)

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On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes ⋮ On the distance of stabilizer quantum codes from \(J\)-affine variety codes ⋮ Quantum codes from a new construction of self-orthogonal algebraic geometry codes ⋮ Steane enlargement of entanglement-assisted quantum error-correcting codes ⋮ Stabilizer quantum codes defined by trace-depending polynomials ⋮ Weight enumerators for nonbinary asymmetric quantum codes and their applications ⋮ Probabilities of failure for quantum error correction ⋮ Quantum error correction nested codes derived from jacket transform ⋮ Stabilizer quantum codes from \(J\)-affine variety codes and a new Steane-like enlargement

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