High-rate CSS codes compile nonlocal Clifford and non-Clifford logical circuits into onsite phases and classical permutations, so MPS bond dimension stays fixed by the encoder while logical entanglement, magic, and non-Gaussianity grow.
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A statistical mixture of Tanh and Swish activations with critical mixing fraction p_c induces a continuous phase transition to scale-invariant signal propagation in deep networks while preserving smoothness.
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Efficiently simulable quantum circuits with large entanglement, magic, and non-Gaussianity via code-compiled tensor networks
High-rate CSS codes compile nonlocal Clifford and non-Clifford logical circuits into onsite phases and classical permutations, so MPS bond dimension stays fixed by the encoder while logical entanglement, magic, and non-Gaussianity grow.
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Competing nonlinearities, criticality, and order-to-chaos transition in deep networks
A statistical mixture of Tanh and Swish activations with critical mixing fraction p_c induces a continuous phase transition to scale-invariant signal propagation in deep networks while preserving smoothness.