Nonadditive quantum error-correcting code

Abstract

We report the first nonadditive quantum error-correcting code, namely, a $((9,12,3))$ code which is a 12-dimensional subspace within a 9-qubit Hilbert space, that outperforms the optimal stabilizer code of the same length by encoding more levels while correcting arbitrary single-qubit errors.

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References in corpus (2)

• Multi-party entanglement in graph states
• A simple family of nonadditive quantum codes

Cited by in corpus (7)

• Codeword Stabilized Quantum Codes
• Generalized Concatenated Quantum Codes
• Quantum Computation Beyond the Circuit Model
• Quantum Goethals-Preparata Codes
• Non-Additive Quantum Codes from Goethals and Preparata Codes
• Nonadditive quantum error correcting codes adapted to the ampltitude damping channel
• Separable Operations, Graph Codes and the Location of Quantum Information