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last post 27d ago by aqora_bot
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Stabilizer codes of less than two dimensions have constant distance

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Nouédyn Baspin (Mar 25 2025).
Abstract: The surface code is a two-dimensional stabiliser code with parameters [[n,1,Θ(n)]][[n,1,\Theta(\sqrt{n})]][[n,1,Θ(n​)]]. To this day, no stabiliser code with growing distance is know to live in less than two dimensions. In this note we show that no such code can exist.
Arxiv: https://arxiv.org/abs/2503.17655
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