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Tightness of and counterexamples to several quantum estimates

math.AP · 2026-08-05 · conditional · novelty 6.0

New explicit constructions show exponential tightness of the product-versus-operator norm gap and noncommutative Bohnenblust-Hille constant, disprove the dimension-free quantum Fourier Entropy-Influence inequality, and prove the Aaronson-Ambainis bound for anti-commuting Pauli-string Hamiltonians.

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  • Tightness of and counterexamples to several quantum estimates math.AP · 2026-08-05 · conditional · none · ref 6

    New explicit constructions show exponential tightness of the product-versus-operator norm gap and noncommutative Bohnenblust-Hille constant, disprove the dimension-free quantum Fourier Entropy-Influence inequality, and prove the Aaronson-Ambainis bound for anti-commuting Pauli-string Hamiltonians.