A 4-index supersymmetric formalism with minimal spontaneous supersymmetry breaking computes annealed and quenched complexity of stationary points via the Kac-Rice formula.
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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.
Nonlinear cross-entropy benchmark and heavy-output classifier enable sample-efficient distinction between noisy quantum and classical spoofers for shallow-depth all-to-all random circuits.
Monte Carlo simulations up to L=18 yield evidence supporting replica symmetry breaking for low-energy excitations in 3D spin glasses and confirm the overlap-equivalence hypothesis.
citing papers explorer
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Stationary point complexity via minimal supersymmetry breaking
A 4-index supersymmetric formalism with minimal spontaneous supersymmetry breaking computes annealed and quenched complexity of stationary points via the Kac-Rice formula.
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Algorithmic Locality via Provable Convergence in Quantum Tensor Networks
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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Sample-efficient benchmarking of shallow all-to-all random quantum circuits
Nonlinear cross-entropy benchmark and heavy-output classifier enable sample-efficient distinction between noisy quantum and classical spoofers for shallow-depth all-to-all random circuits.
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On the true low-energy excitations of the three-dimensional spin glass
Monte Carlo simulations up to L=18 yield evidence supporting replica symmetry breaking for low-energy excitations in 3D spin glasses and confirm the overlap-equivalence hypothesis.