AI 中文总结
本文证明了d局域哈密顿量相关量子不等式的紧性结果，还在反交换泡利串特殊情形下讨论了量子Aaronson–Ambainis猜想。
AI 中文摘要
本文证明了若干量子不等式的紧性结果，包括d局域哈密顿量的算子范数与乘积范数的比较、d局域哈密顿量的Bohnenblust–Hille不等式，以及量子傅里叶熵-影响猜想；还在反交换泡利串的特殊情形下讨论了量子Aaronson–Ambainis猜想。
英文摘要
We prove here several tightness results for such quantum inequalities as 1) the comparison of operator norm and product norm of $d$-local hamiltonians, 2) Bohnenblust--Hille inequality for $d$-local hamiltonians, 3) for quantum Fourier entropy-influence conjecture. We give a deterministic prove of the sharpness of Bohnenblust--Hille exponent. We also discuss the quantum Aaronson--Ambainis conjecture in a special case of anti-commuting Pauli strings.
Comments28 pages
