Averaging symmetric Z_N quantum circuits over random noise produces a noisy surface code whose logical information is protected against symmetric errors up to a threshold, with charge-sharpening transitions coinciding with bulk confinement transitions that differ for N≤4 versus N>4.
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Symmetry classification of measurement-inclusive fermionic dynamics with equivalence between many-body and single-particle schemes, plus post-selection-free adaptive circuits for topological states in four classes.
GPU-enabled simulations at L=16384 (1D) and 160x160 (2D) confirm no MIPT in 1D but a finite-rate MIPT in 2D with ν≈1.3, partially disagreeing with NLSM predictions.
citing papers explorer
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Holographically Emergent Gauge Theory in Symmetric Quantum Circuits
Averaging symmetric Z_N quantum circuits over random noise produces a noisy surface code whose logical information is protected against symmetric errors up to a threshold, with charge-sharpening transitions coinciding with bulk confinement transitions that differ for N≤4 versus N>4.
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Free-Fermion Dynamics with Measurements: Topological Classification and Adaptive Preparation of Topological States
Symmetry classification of measurement-inclusive fermionic dynamics with equivalence between many-body and single-particle schemes, plus post-selection-free adaptive circuits for topological states in four classes.
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Entanglement dynamics of monitored noninteracting fermions on graphics processing units
GPU-enabled simulations at L=16384 (1D) and 160x160 (2D) confirm no MIPT in 1D but a finite-rate MIPT in 2D with ν≈1.3, partially disagreeing with NLSM predictions.