siddhant

@siddhantm.bsky.social

quantum many-body physics @ princeton

Belief propagation is reshaping how we think about tensor networks, and now it can be improved systematically. Check it out! “PEPS is hard” may be becoming less absolute. Using these techniques in practice? I’d love to hear what works, what doesn’t, and where they break down.

APS journals@apsjournals.aps.org · 2mo ago

A theoretical framework for belief propagation in tensor networks introduces an innovation called a cluster expansion based on statistical mechanics, allowing it to overcome longstanding limitations on accurate approximation. Read more in PRX Quantum: https://go.aps.org/4gvmeI6

A series of six diagrams that illustrates the contraction of a five-vertex tensor network, represented as the sum of the belief propagation vacuum and the generalized loop excitations. Each tensor network is denoted by a pattern of five connected blue circles (labelled T1, T2, T3, T4, and T5) connected by solid black lines or red lines. The figure portrays the sum of five of the network diagrams on the right, and the complete contraction on the left.