Stabilizer entropy in non-integrable quantum evolutions

Abstract

Entanglement and stabilizer entropy are both involved in the onset of complex behavior in quantum many-body systems. Their interplay is at the root of complexity of simulability, scrambling, thermalization and typicality. In this work, we study the dynamics of entanglement, stabilizer entropy, and the anti-flatness of the entanglement spectrum after a quantum quench in a spin chain. We find that free-fermion theories show a gap in the long-time behavior of these resources compared to their random matrix theory value while non-integrable models saturate it.

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• Fermionic Magic Resources of Quantum Many-Body Systems
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• Computing quantum magic of state vectors
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• Local spreading of stabilizer Rényi entropy in a brickwork random Clifford circuit
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• Optimal quantum reservoir learning in proximity to universality
• Spectral signatures of nonstabilizerness and criticality in infinite matrix product states
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• No-cost Bell nonlocality certification from quantum tomography and its applications in quantum-magic-resource witnessing
• Dynamical irreversibility and local decoherence in quantum many-body chaos