3 papers
quant-ph2026
Provable Quantum--Classical Separation for Continuous Gibbs Sampling
Enrico Olivucci, Mariia Sobchuk, Sehmimul Hoque +4
We prove the first quantum--classical separation for a sampling problem over a continuous domain. For a class of Gibbs states on the torus with sm…
quant-ph2026
Breaking the Curse of Dimensionality in Quantum PDE Solvers via Gevrey Regularity
Pooya Ronagh, Mariia Sobchuk, Xiaoran Li +3
We connect different degrees of smoothness of real-valued periodic functions to the number of qubits required for their high-precision Fourier-basis amplitude encodings as quantum…
quant-ph2026
Nonlinear semigroups with unbounded generators under Carleman linearization
Sitanshu Gakkhar, Ala Shayeghi, David C. Del Rey Fernández
We treat the convergence of Carleman linearization of nonlinear evolutionary equations through the approximation theory of strongly continuous semigroups, by Carleman embedding the…