Local quenches in chaotic quantum systems produce a Renyi-index-tuned hierarchy of entanglement transitions, with S_alpha>1 obeying area law while S_alpha<=1 is volume-law, carried by an O(1)-dimensional dominant Schmidt sector that itself exhibits similar transitions at lower critical indices.
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A specific family of random quantum circuits is introduced that resists classical simulation and avoids local variable concentration, proposed as seeds for continuous generative models to support NISQ-compatible quantum-classical hybrids.
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Hierarchical entanglement transitions and hidden area-law sectors in quantum many-body dynamics
Local quenches in chaotic quantum systems produce a Renyi-index-tuned hierarchy of entanglement transitions, with S_alpha>1 obeying area law while S_alpha<=1 is volume-law, carried by an O(1)-dimensional dominant Schmidt sector that itself exhibits similar transitions at lower critical indices.
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Random Quantum Circuits as Seeds for Continuous Generative Models
A specific family of random quantum circuits is introduced that resists classical simulation and avoids local variable concentration, proposed as seeds for continuous generative models to support NISQ-compatible quantum-classical hybrids.