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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Rare measurements on a 1D spinful s-wave BCS chain dynamically project soft modes onto an SO(R) NLSM whose R→1 weak-anti-localization flow yields steady-state entanglement S(L) ~ ln² L without a WZW term.
Measurements enhance steady-state entanglement in a paired fermionic chain by suppressing pairing correlations, but the enhancement scales as ln squared L and vanishes in the thermodynamic limit.
In the Zeno regime of a continuously monitored Aubry-André-Harper chain, an effective non-Hermitian Hamiltonian derived from self-consistent measurement potentials yields a Lyapunov exponent whose predicted localization length quantitatively matches numerical quantum-state-diffusion trajectories.
Disorder does not alter the presence or absence of measurement-induced phase transitions in noninteracting fermions; the long-time behavior is controlled by the same nonlinear sigma model with renormalized parameters.
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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Super-Logarithmic Entanglement Scaling in a Monitored Superconducting Chain
Rare measurements on a 1D spinful s-wave BCS chain dynamically project soft modes onto an SO(R) NLSM whose R→1 weak-anti-localization flow yields steady-state entanglement S(L) ~ ln² L without a WZW term.
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Measurement-enhanced entanglement in a monitored superconducting chain
Measurements enhance steady-state entanglement in a paired fermionic chain by suppressing pairing correlations, but the enhancement scales as ln squared L and vanishes in the thermodynamic limit.
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Controlled Zeno-Induced Localization of Free Fermions in a Quasiperiodic Chain
In the Zeno regime of a continuously monitored Aubry-André-Harper chain, an effective non-Hermitian Hamiltonian derived from self-consistent measurement potentials yields a Lyapunov exponent whose predicted localization length quantitatively matches numerical quantum-state-diffusion trajectories.
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Measurement-induced phase transitions in disordered fermions
Disorder does not alter the presence or absence of measurement-induced phase transitions in noninteracting fermions; the long-time behavior is controlled by the same nonlinear sigma model with renormalized parameters.