Measurement-induced entanglement in Tomonaga-Luttinger liquids is universal, conformally invariant, and arises from Born-rule averaging over conformally invariant boundary conditions in the CFT.
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Thermalization time in a boundary-coupled 1D chain with approximate pair-flip constraints scales exponentially with system size due to configuration-space bottlenecks.
A unitary analogue of the Rosenzweig-Porter ensemble is defined through Dyson Brownian motion and shown numerically to share eigenvalue and eigenstate statistics with the original ensemble.
Configuration-space geometry yields universal scaling √Var(r_H) ~ L^{-2β/ν} at criticality for zero-magnetization systems and enables information-geometric detection of phase transitions in TFIM and SSH models.
Trotterized near-thermal dynamics are substantially more robust to gate and Trotter errors than assumed, enabled by linear gate-error scaling with entanglement and a random product state ensemble approximating thermal states.
Averaging the time-evolution operator over disorder restores permutation symmetry in the effective dynamical map for linear observables, enabling polynomial-scaling simulations of large disordered spin systems via short-time and weak-disorder expansions.
Authors characterize the MBL crossover via many-body quantum metric and localization parameter, extracting a localization length from wavefunction spread measurable by the metric.
citing papers explorer
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Measurement-Induced Entanglement in Conformal Field Theory
Measurement-induced entanglement in Tomonaga-Luttinger liquids is universal, conformally invariant, and arises from Born-rule averaging over conformally invariant boundary conditions in the CFT.
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Exponentially slow thermalization and the robustness of Hilbert space fragmentation
Thermalization time in a boundary-coupled 1D chain with approximate pair-flip constraints scales exponentially with system size due to configuration-space bottlenecks.
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Circular Rosenzweig-Porter random matrix ensemble
A unitary analogue of the Rosenzweig-Porter ensemble is defined through Dyson Brownian motion and shown numerically to share eigenvalue and eigenstate statistics with the original ensemble.
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On the criticality of the configuration-space statistical geometry
Configuration-space geometry yields universal scaling √Var(r_H) ~ L^{-2β/ν} at criticality for zero-magnetization systems and enables information-geometric detection of phase transitions in TFIM and SSH models.
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Robustness of near-thermal dynamics on digital quantum computers
Trotterized near-thermal dynamics are substantially more robust to gate and Trotter errors than assumed, enabled by linear gate-error scaling with entanglement and a random product state ensemble approximating thermal states.
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Exploiting emergent symmetries in disorder-averaged quantum dynamics
Averaging the time-evolution operator over disorder restores permutation symmetry in the effective dynamical map for linear observables, enabling polynomial-scaling simulations of large disordered spin systems via short-time and weak-disorder expansions.
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Characterizing the Many Body Localization Crossover as a Metal-Insulator Transition: Localization length from Polarization and Quantum Metric
Authors characterize the MBL crossover via many-body quantum metric and localization parameter, extracting a localization length from wavefunction spread measurable by the metric.