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20242026
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quant-ph2025

Prospects for quantum advantage in machine learning from the representability of functions

Sergi Masot-Llima, Elies Gil-Fuster, Carlos Bravo-Prieto +2

Demonstrating quantum advantage in machine learning tasks requires navigating a complex landscape of proposed models and algorithms. To bring clarity to this search, we introduce a…

quant-ph2025

Complexity of geometrically local stoquastic Hamiltonians

Asad Raza, Jens Eisert, Alex B. Grilo

The QMA-completeness of the local Hamiltonian problem is a landmark result of the field of Hamiltonian complexity that studies the computational complexity of problems in quantum m…

quant-ph2025

Towards efficient quantum algorithms for diffusion probabilistic models

Yunfei Wang, Ruoxi Jiang, Yingda Fan +4

A diffusion probabilistic model (DPM) is a generative model renowned for its ability to produce high-quality outputs in tasks such as image and audio generation. However, training…

quant-ph2025

Optimal trace-distance bounds for free-fermionic states: Testing and improved tomography

Lennart Bittel, Antonio Anna Mele, Jens Eisert +1

Free-fermionic states, also known as fermionic Gaussian states, represent an important class of quantum states ubiquitous in physics. They are uniquely and efficiently described by…

quant-ph2025

Artificial intelligence for representing and characterizing quantum systems

Yuxuan Du, Yan Zhu, Yuan-Hang Zhang +8

Efficient characterization of large-scale quantum systems, especially those produced by quantum analog simulators and megaquop quantum computers, poses a central challenge in quant…

quant-ph2025

Quantum reinforcement learning of classical rare dynamics: Enhancement by intrinsic Fourier features

Alissa Wilms, Laura Ohff, Andrea Skolik +3

Rare events are essential for understanding the behavior of non-equilibrium and industrial systems. It is of ongoing interest to develop methods for effectively searching for rare…