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Theoretical Limits of Language Model Alignment $f$-Divergence Regularized RLHF: Two Tales of Sampling and Unified Analyses A Unified Measure-Theoretic View of Diffusion, Score-Based, and Flow Matching Generative Models When Can Voting Help, Hurt, or Change Course? 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Fiber Bundle Codes: Breaking the $N^{1/2} \operatorname{polylog}(N)$ Barrier for Quantum LDPC Codes
Matthew B. Hastings, Jeongwan Haah, Ryan O'Donnell · 2020-09-09 · via cs.IT updates on arXiv.org

We present a quantum LDPC code family that has distance $Ω(N^{3/5}/\operatorname{polylog}(N))$ and $\tildeΘ(N^{3/5})$ logical qubits. This is the first quantum LDPC code construction which achieves distance greater than $N^{1/2} \operatorname{polylog}(N)$. The construction is based on generalizing the homological product of codes to a fiber bundle.

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