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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.

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  • Algorithmic Locality via Provable Convergence in Quantum Tensor Networks quant-ph · 2026-04-23 · unverdicted · none · ref 61

    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.