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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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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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.