Author

Mary K. Wootters

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Preprint Oct 2026

Random Quantum LDPC Codes Approaching the Gilbert-Varshamov Bound

We show that for any $R,\epsilon>0$ and any prime $p\geq 2$, there exists an infinite family of $p$-ary quantum low-density parity-check (QLDPC) codes, rate $R$, checks of weight $O_\epsilon(1)$, and normalized distance at least $\delta_{\mathrm{GV}}(p,R)-\epsilon$. Here, $\delta_{\mathrm{GV}}(p,R)$ denotes the quantum...

Tushant Mittal, Shashank Srivastava, Madhur Tulsiani et al. · 0 citations

Preprint Aug 2026

Time- and Space-Efficient List Decoding up to Capacity

In the theory of error correcting codes, list-decoding refers to the following problem. Given a code $C \subseteq \Sigma^N$ and a received word $y \in \Sigma^N$, find all codewords $c \in C$ so that $\delta(c,y) \leq \rho$, where $\delta$ is relative Hamming distance and $\rho \in (0,1)$. Codes that approach the optima...

Dorsa Fathollahi, Noga Ron-Zewi, Mary K. Wootters · 0 citations