Solving sign problems with physics-informed kernels

Abstract:

In the present work we construct a novel generative architecture for systems with complex probability distributions. In general, these sampling tasks come with two challenges: resolving sign problems and efficient sampling. The architecture is based on physics-informed kernels (PIKs) introduced in arXiv:2510.26678, and aims at resolving both challenges. Key to the complex PIK-architecture is its probability-weight preserving property, which allows us to map the sampling task to one on a sign-problem free manifold with a simple distribution and efficient sampling. The potential of this novel architecture is demonstrated within applications to zero-dimensional field theories with complex couplings, as well as the real-time evolution of the quantum-mechanical harmonic oscillator.

F. Ihssen, R. Kapust, J. M. Pawlowski, „Solving sign problems with physics-informed kernels“,
3. März 2026, arXiv:2603.03159 (2026).

https://arxiv.org/abs/2603.03159

Related to Project A02