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.
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