Joseph Slote

works on

boolean analysis 1 pauli measurements 1 quantum state certification 1 total influence 1 uncertainty principle 1

From the 1 of 12 linked papers with an AI index.

activity

20242026

collaborators

12 papers

math.AP2026

Tightness of and counterexamples to several quantum estimates

Haonan Zhang, Joseph Slote, Alexander Volberg

We prove here several tightness results for such quantum inequalities as the comparison of operator norm and product norm of $d$ -local hamiltonians, Bohnenblust--Hille inequality f…

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 $N (d) = exp (I^c ◯ (d^{2}))$ terms, each of degree $d$ and magnitude $1/ N (d)$ - the larges…

quant-ph2026

Robust quantum state certification and uncertainty principles for total influence

Andrea Coladangelo, Jerry Li, Joseph Slote

The paper demonstrates that nonadaptive single‑qubit Pauli measurements can efficiently certify whether an unknown n‑qubit state is close to a target state using an optimal number…

cs.CC2026

The Boolean surface area of polynomial threshold functions

Fan Chang, Joseph Slote, Alexander Volberg +1

Polynomial threshold functions (PTFs) are an important low-complexity class of Boolean functions, with strong connections to learning theory and approximation theory. Recent work o…

quant-ph2026

Lower Bounds for Learning Hamiltonians from Time Evolution

Ziyun Chen, Jerry Li, Joseph Slote

Learning about a Hamiltonian $H$ from its time evolution $e^{- i H t}$ is a fundamental task in quantum science. A flurry of recent work has developed powerful new algorithms with pro…

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 $2$ .