Work

Tightness of and counterexamples to several quantum estimates

Year: 2026

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.04411

Authors: Slote, Joseph, Volberg, Alexander, Zhang, Haonan

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7197032050

Cites: 12

Cited by: 2

Related to: 10