Author

Qipeng Liu

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Preprint Sep 2026

An Operator-Norm Approach to Security with Quantum Advice

Non-uniform security allows an adversary to receive bounded advice about an oracle before attempting a fresh challenge. This captures the most realistic attacks and has already been studied extensively in prior work. In this work, we introduce an operator-norm approach for non-uniform security in the quantum random ora...

Minki Hhan, Sunghyuk Jo, Qi-Peng Liu · 0 citations

Preprint Aug 2026

Parallel Quantum Advantage with Limited Adaptivity Requires Structure

Aaronson and Ambainis (Theory of Computing, 2014) conjectured that quantum query algorithms admit efficient almost-everywhere classical simulation: for any $T$-query quantum algorithm, its acceptance probability can be approximated on a $(1-\delta)$ fraction of inputs, up to $\epsilon$ additive error, using $\mathrm{po...

Qi-Peng Liu, Saachi Mutreja · 1 citation · ⚡1