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arXiv · 0903.0566

Quantum LDPC codes with positive rate and minimum distance proportional to n^{1/2}

Jean-Pierre Tillich·Gilles Zemor
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Abstract

The current best asymptotic lower bound on the minimum distance of quantum LDPC codes with fixed non-zero rate is logarithmic in the blocklength. We propose a construction of quantum LDPC codes with fixed non-zero rate and prove that the minimum distance grows proportionally to the square root of the blocklength.

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BibTeXRIS

Jean-Pierre Tillich, Gilles Zemor. 2013-01-11. Quantum LDPC codes with positive rate and minimum distance proportional to n^{1/2}. https://doi.org/10.1109/tit.2013.2292061

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