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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A representation-theoretic framework computes LXEB scores and proves anticoncentration for Fock-state Boson Sampling in the saturated regime using irrep decompositions of bosonic spaces.
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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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General framework for anticoncentration and linear cross-entropy benchmarking in photonic quantum advantage experiments
A representation-theoretic framework computes LXEB scores and proves anticoncentration for Fock-state Boson Sampling in the saturated regime using irrep decompositions of bosonic spaces.