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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The k-commutant of free fermions is the Grassmannian manifold of fermionic Gaussian states on 2k sites, exposing a real-replica space duality.
Derives a quantum speed limit for the OTOC decay rate by mapping scrambling to open-system decoherence bounded by system-environment coupling strength and environmental correlation functions.
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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Geometry of Free Fermion Commutants
The k-commutant of free fermions is the Grassmannian manifold of fermionic Gaussian states on 2k sites, exposing a real-replica space duality.
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Quantum speed limit for the OTOC from an open systems perspective
Derives a quantum speed limit for the OTOC decay rate by mapping scrambling to open-system decoherence bounded by system-environment coupling strength and environmental correlation functions.