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Li-Yang Tan

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Preprint Aug 2026

Quantum Speedups Require Structure or Depth

This work settles this conjecture for parallel quantum algorithms, showing that every $t-query $d-round quantum algorithm can be simulated on most inputs with $t^{O(d^2)}$ classical queries, suggesting that for unstructured problems, superpolynomial speedups would require quantum circuits of superconstant depth, and ex...

Guy Blanc, Jordan Docter, Carmen Strassle et al. · 2 citations · ⚡1
Conference Jul 2026

Boosting with List-Decodable Codes

This work presents a new boosting algorithm that, for any class $\mathcal{F}$ closed under $O(\log \frac{1}{\gamma})$-XOR, strong learns $\mathcal{F}$ using $O(\log \frac{1}{\epsilon})$ calls to a $\gamma$-advantage weak learner and a single batch of $\tilde{O}(\log(\frac{1}{\epsilon

Addison Prairie, Li-Yang Tan · 0 citations

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