Purification of weakly monitored Clifford circuits on prime-dimensional qudits reduces exactly to a pure-death Markov process on the density-matrix rank, producing compact universal scaling functions for all Rényi entropies.
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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.
Conditioning on rare boundary measurement outcomes in a quantum East circuit generates states with finite two-point correlations at arbitrary distances and an underlying Sierpiński-triangle fractal structure.
Analytical and numerical study of stabilizer nullity and Rényi entropies in monitored Clifford circuits shows quantized decay for computational measurements and size-dependent relaxation to a non-trivial steady state for rotated bases.
In the monitored symmetric exclusion process, the local Markovianization timescale tracks the global-charge learnability timescale and diverges in the charge-fuzzy phase.
Coupled critical quantum Ising layers map to the quantum Ashkin-Teller model, yielding a 1D critical line with continuously varying exponent nu and 2D multicritical points with effective O(2) symmetry.
Monitored free fermions are mapped to a nonlinear sigma model whose finite-time evolution and quasi-1D long-time scaling are used to locate the measurement-induced transition and extract the correlation-length exponent in two dimensions.
Classical simulation algorithms for low-magic adaptive quantum circuits with high Pauli measurement rates, demonstrated on all-to-all monitored circuits with sub-extensive T-gates to study measurement-induced phase transitions.
Interference between local measurement histories on two qubits generates entanglement, persisting even after averaging over detector readouts.
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.
Numerical study of monitored fermions finds integrable cases fit by linear-to-power-law interpolation for entanglement scaling, SYK shows volume law, and t-V hints at transition, with unrelated anomalous delocalization in Hilbert space.
citing papers explorer
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Universal purification dynamics of monitored Clifford circuits
Purification of weakly monitored Clifford circuits on prime-dimensional qudits reduces exactly to a pure-death Markov process on the density-matrix rank, producing compact universal scaling functions for all Rényi entropies.
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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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Exact large deviations and emergent long-range correlations in sequential quantum East circuits
Conditioning on rare boundary measurement outcomes in a quantum East circuit generates states with finite two-point correlations at arbitrary distances and an underlying Sierpiński-triangle fractal structure.
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Rise and fall of nonstabilizerness via random measurements
Analytical and numerical study of stabilizer nullity and Rényi entropies in monitored Clifford circuits shows quantized decay for computational measurements and size-dependent relaxation to a non-trivial steady state for rotated bases.
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Local Markov Order and Global Inference in Many-Body Dynamics
In the monitored symmetric exclusion process, the local Markovianization timescale tracks the global-charge learnability timescale and diverges in the charge-fuzzy phase.
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Stacked quantum Ising systems and quantum Ashkin-Teller model
Coupled critical quantum Ising layers map to the quantum Ashkin-Teller model, yielding a 1D critical line with continuously varying exponent nu and 2D multicritical points with effective O(2) symmetry.
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Quantum dynamics of monitored free fermions: Evolution of quantum correlations and scaling at measurement-induced phase transition
Monitored free fermions are mapped to a nonlinear sigma model whose finite-time evolution and quasi-1D long-time scaling are used to locate the measurement-induced transition and extract the correlation-length exponent in two dimensions.
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Classical Simulations of Low Magic Quantum Dynamics
Classical simulation algorithms for low-magic adaptive quantum circuits with high Pauli measurement rates, demonstrated on all-to-all monitored circuits with sub-extensive T-gates to study measurement-induced phase transitions.
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Interference of local-measurement histories
Interference between local measurement histories on two qubits generates entanglement, persisting even after averaging over detector readouts.
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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.
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Entanglement behavior and localization properties in monitored fermion systems
Numerical study of monitored fermions finds integrable cases fit by linear-to-power-law interpolation for entanglement scaling, SYK shows volume law, and t-V hints at transition, with unrelated anomalous delocalization in Hilbert space.
- Krylov complexity and fidelity susceptibility in two-band Hamiltonians