Joseph Slote

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20212026

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math.FA2026

Dense Hamiltonians at the Parseval Limit: The Noncommutative BH Constant is Exponential and the Quantum FEI Conjecture is False

Joseph Slote

For each $d \geq 1$ we construct a norm-1 Hermitian operator whose Pauli expansion contains $N (d) = exp (Ω (d^{2}))$ terms, each of degree $d$ and magnitude $1/ N (d)$ - the largest…

math.FA2024

Noncommutative Bohnenblust--Hille Inequality for qudit systems

Joseph Slote, Alexander Volberg, Haonan Zhang

Previous noncommutative Bohnenblust--Hille (BH) inequalities addressed operator decompositions in the tensor-product space $M_{2} (C)^{\otimes n}$ ; \emph{i.e.,} for systems o…

math.FA2023

Dimension-free discretizations of the uniform norm by small product sets

Lars Becker, Ohad Klein, Joseph Slote +2

Let $f$ be an analytic polynomial of degree at most $K - 1$ . A classical inequality of Bernstein compares the supremum norm of $f$ over the unit circle to its supremum norm over the…