Quantum Expander Codes
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en
Communication dans un congrès
Este ítem está publicado en
FOCS 2015 - IEEE Annual Symposium on the Foundations of Computer Science, 2015-10-18, Berkeley. 2015-10p. 810-824
IEEE
Resumen en inglés
We present an efficient decoding algorithm for constant rate quantum hyper graph-product LDPC codes which provably corrects adversarial errors of weight proportional to the code minimum distance, or equivalently to the ...Leer más >
We present an efficient decoding algorithm for constant rate quantum hyper graph-product LDPC codes which provably corrects adversarial errors of weight proportional to the code minimum distance, or equivalently to the square-root of the block length. The algorithm runs in time linear in the number of qubits, which makes its performance the strongest to date for linear-time decoding of quantum codes. The algorithm relies on expanding properties, not of the quantum code's factor graph directly, but of the factor graph of the original classical code it is constructed from.< Leer menos
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