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Good Gottesman-Kitaev-Preskill codes from the NTRU cryptosystem. (arXiv:2303.02432v2 [quant-ph] UPDATED)
cs.CR updates on arXiv.org arxiv.org
We introduce a new class of random Gottesman-Kitaev-Preskill (GKP) codes
derived from the cryptanalysis of the so-called NTRU cryptosystem. The derived
codes are good in that they exhibit constant rate and average distance scaling
$\Delta \propto \sqrt{n}$ with high probability, where $n$ is the number of
bosonic modes, which is a distance scaling equivalent to that of a GKP code
obtained by concatenating single mode GKP codes into a qubit-quantum error
correcting code with linear distance. The derived class of …
called class code cryptanalysis delta error high mode quantum qubit random rate scaling single