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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In random quantum automaton ensembles, the subsystem symmetrization scale depends on the initial state's participation entropy, and the onset of U(1) entanglement asymmetry coincides with the onset of subsystem coherence.
Higher moments of entanglement entropy distribution in hybrid quantum circuits distinguish measurement-induced phases and are captured by a phenomenological model for area-law combined with directed polymer description for volume-law.
Measurement-only circuits realize gapless SPT phases with nontrivial edge states at criticality, including symmetry-enriched percolation in Ising models and persistent Z4 gSPT phases mapped to Majorana loop models.
LC-inequivalent graph-state blocks in random Clifford circuits yield distinct entanglement velocities v_E and butterfly velocities v_B, correlated with internal entanglement distribution and graph connectivity.
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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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Entanglement Asymmetry in Random Quantum Automata
In random quantum automaton ensembles, the subsystem symmetrization scale depends on the initial state's participation entropy, and the onset of U(1) entanglement asymmetry coincides with the onset of subsystem coherence.
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On the Entanglement Entropy Distribution of a Hybrid Quantum Circuit
Higher moments of entanglement entropy distribution in hybrid quantum circuits distinguish measurement-induced phases and are captured by a phenomenological model for area-law combined with directed polymer description for volume-law.
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Gapless Symmetry-Protected Topological States in Measurement-Only Circuits
Measurement-only circuits realize gapless SPT phases with nontrivial edge states at criticality, including symmetry-enriched percolation in Ising models and persistent Z4 gSPT phases mapped to Majorana loop models.
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Graph-State Circuit Blocks control Entanglement and Scrambling Velocities
LC-inequivalent graph-state blocks in random Clifford circuits yield distinct entanglement velocities v_E and butterfly velocities v_B, correlated with internal entanglement distribution and graph connectivity.