2026-10-21 · arXiv Quantum Physics
arXiv:2602.04943v4 Announce Type: replace-cross
Abstract: We study the computational complexity of learning the ground state phase structure of Heisenberg antiferromagnets. Representing Hilbert space as a weighted graph, the variational energy defines a weighted XY model that, for $\mathbb{Z}_2$ phases, reduces to a classical antiferromagnetic Ising model on that graph. For fixed amplitudes, reconstructing the signs of the ground state wavefunction thus reduces to a weighted Max-Cut instance. This links sign optimization of wavefunctions directly to combinatorial optimization.
原文链接：https://arxiv.org/abs/2602.04943
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