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arXiv · 2608.04411

Tightness of and counterexamples to several quantum estimates

Joseph Slote·Alexander Volberg·Haonan Zhang
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Abstract

We prove here several tightness results for such quantum inequalities as the comparison of operator norm and product norm of $d$-local hamiltonians, Bohnenblust--Hille inequality for $d$-local hamiltonians and for quantum Fourier entropy-influence conjecture, we also discuss the quantum Aaronson--Ambainis conjecture in a special case of anti-commuting Pauli strings.

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Joseph Slote, Alexander Volberg, Haonan Zhang. 2026-08-05. Tightness of and counterexamples to several quantum estimates. https://arxiv.org/abs/2608.04411

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