Lars Becker

collaborators

3 papers

math.NT2026

Fourier growth of degree $2$ polynomials

Lars Becker, Joseph Slote, Alexander Volberg +1

We prove bounds for the absolute sum of all level- $k$ Fourier coefficients for $(- 1)^{p (x)}$ , where polynomial $p : F_{2}^{n} \to F_{2}$ is of degree $1$ or degree $2$ .

quant-ph2026

Approximating the operator norm of local Hamiltonians via few quantum states

Lars Becker, Joseph Slote, Alexander Volberg +1

Consider a Hermitian operator $A$ acting on a complex Hilbert space of dimension $2^{n}$ . We show that when $A$ has small degree in the Pauli expansion, or in other words, $A$ is a l…

math.FA2024

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…

Fourier growth of degree 2 polynomials

Approximating the operator norm of local Hamiltonians via few quantum states

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

Fourier growth of degree $2$ polynomials