June 1, 2009

Quantum LDPC codes with positive rate and minimum distance proportional to n

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Resumen

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

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Cite This Study

Tillich et al. (Mon,) studied this question.

synapsesocial.com/papers/6a21e9d03081c2f8f8e21567 https://doi.org/https://doi.org/10.1109/isit.2009.5205648

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