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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 smo…
quant-ph2026
Breaking the Curse of Dimensionality in Quantum PDE Solvers via Gevrey Regularity
Pooya Ronagh, Mariia Sobchuk, Xiaoran Li +2
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. Our centra…