Above a critical noise strength, operator scrambling in random circuits is suppressed leading to classical simulability; below it, simulation stays exponentially hard.
Dowling, Classical simulability from operator entan- glement scaling (2026), arXiv:2603.05656 [quant-ph]
3 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 3representative citing papers
The maximally mixed state in the translation-invariant subspace of a 1D ring is long-range entangled because the dimension of translationally symmetric short-range entangled states grows polynomially while the full subspace grows exponentially.
LOE for Haar random dynamics asymptotically matches the Page curve for traceless operators and is independent of the initial operator at leading order.
citing papers explorer
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Noise-induced Simulability Transition from Operator Scrambling
Above a critical noise strength, operator scrambling in random circuits is suppressed leading to classical simulability; below it, simulation stays exponentially hard.
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Mixed-State Long-Range Entanglement from Dimensional Constraints
The maximally mixed state in the translation-invariant subspace of a 1D ring is long-range entangled because the dimension of translationally symmetric short-range entangled states grows polynomially while the full subspace grows exponentially.
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Page Curve for Local-Operator Entanglement from Free Probability
LOE for Haar random dynamics asymptotically matches the Page curve for traceless operators and is independent of the initial operator at leading order.