Nonlocal Magic Spreading in Many-body Quantum Dynamics: From Chaotic Evolution to Quasi-particle Picture in Integrable Models

arXiv:2609.20951 · quant-ph, cond-mat.stat-mech · Submitted 2026-09-17 · Read on arXiv

quant-ph, cond-mat.stat-mech

Submitted: 2026-09-17

Updated: 2026-09-17

Terminology

• Entanglement — 66× in this paper · explained in 3 episodes
• Entanglement Entropy — 5× in this paper · explained in 2 episodes
• Fidelity — 5× in this paper · explained in 2 episodes
• Additivity — 2× in this paper · explained in 1 episode
• Conservation Laws — 2× in this paper · explained in 3 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Fisher Information — 1× in this paper · explained in 3 episodes
• Spectral Geometry — 1× in this paper · explained in 2 episodes
• Stabilizer States — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• The Heisenberg Representation of Quantum Computers
• Improved classical simulation of quantum circuits dominated by Clifford gates
• Coherence dynamics in quantum many-body systems with conservation laws
• Non-Local Magic Resources for Fermionic Gaussian States
• Nonlocal nonstabilizerness in free fermion models
• Non-Local Magic from the Entanglement Spectrum
• Schmidt-Gauge Non-Local Magic: Representation, Optimality, and Mathematical Properties
• Entanglement, anti-flatness, and nonlocal nonstabilizerness: a unified perspective from entanglement spectrum
• Nonlocal nonstabilizerness for slightly entangled quantum many-body states
• Experimental demonstration of non-local magic in a superconducting quantum processor
• Deep Thermalization and Measurements of Quantum Resources
• Diffusive Operator Spreading for Random Unitary Free Fermion Circuits
• Theory of the Matchgate Commutant
• Unitary Designs from Doped Matchgate Circuits

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