A framework maps Boltzmann-weighted lattice configurations to correlated random matrix ensembles via real-space to momentum-space variance profiles, deriving spectral moments and resolvent densities benchmarked on Ising and Edwards-Anderson models.
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Symmetry breaking and nonlocality phase transitions occur nearly simultaneously during diffusion model generation in modern transformers.
The paper introduces a phase framework for data distributions connected by local denoisers and demonstrates that reverse diffusion consists of trivial and data phases separated by a transition where local score functions must fail, tied to spatial Markovianity.
The paper shows that in stabilizer codes a change in the logical stabilizer group after a coherent Clifford error and syndrome measurement exactly determines the MAP recovery probability, and that above a critical error rate the toric code loses logical information while random stabilizer codes…
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Random Matrix Spectra from Boltzmann-Weighted Lattice Ensembles
A framework maps Boltzmann-weighted lattice configurations to correlated random matrix ensembles via real-space to momentum-space variance profiles, deriving spectral moments and resolvent densities benchmarked on Ising and Edwards-Anderson models.
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Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models
Symmetry breaking and nonlocality phase transitions occur nearly simultaneously during diffusion model generation in modern transformers.
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Local Diffusion Models and Phases of Data Distributions
The paper introduces a phase framework for data distributions connected by local denoisers and demonstrates that reverse diffusion consists of trivial and data phases separated by a transition where local score functions must fail, tied to spatial Markovianity.
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Coherent error induced phase transition
The paper shows that in stabilizer codes a change in the logical stabilizer group after a coherent Clifford error and syndrome measurement exactly determines the MAP recovery probability, and that above a critical error rate the toric code loses logical information while random stabilizer codes…