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Algorithmic Locality via Provable Convergence in Quantum Tensor Networks

quant-ph · 2026-04-23 · unverdicted · novelty 8.0

For PEPS with strong injectivity above a threshold, belief propagation finds fixed points efficiently and cluster-corrected BP approximates observables to 1/poly(N) error in poly(N) time, with local perturbations affecting the fixed point only locally.

Introduction to matrix-product states and tensor networks

cond-mat.str-el · 2026-06-23 · unverdicted · novelty 1.0

Introductory lecture notes on tensor networks with emphasis on matrix-product states, their algorithms, higher-dimensional generalizations, and applications to mixed states and open quantum systems, accompanied by Julia code.

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