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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Real-time renormalization group on quantum operations produces chaotic flows in coherent-dominant regimes, and the measurement-induced PT transition belongs to the 1D Yang-Lee edge singularity universality class.
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.
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.
Empirically learned dynamical decoupling sequences reduce average error rates in dynamic quantum circuits by a factor of three and enable nontrivial process fidelity for quantum Fourier transforms on up to 20 qubits.
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.
In the random-field XXZ model, Wehrl-Rényi entropy growth for z-polarized product states shows non-monotonic dependence on initial entanglement, with the first regime set by local integrals of motion and the second by inter-site correlations.
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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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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Renormalization of Quantum Operations: Parity-Time Transition and Chaotic Flows
Real-time renormalization group on quantum operations produces chaotic flows in coherent-dominant regimes, and the measurement-induced PT transition belongs to the 1D Yang-Lee edge singularity universality class.
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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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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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Learning error suppression strategies for dynamic quantum circuits
Empirically learned dynamical decoupling sequences reduce average error rates in dynamic quantum circuits by a factor of three and enable nontrivial process fidelity for quantum Fourier transforms on up to 20 qubits.
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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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Entanglement Growth from Structured Initial States in Many-Body Localized Systems
In the random-field XXZ model, Wehrl-Rényi entropy growth for z-polarized product states shows non-monotonic dependence on initial entanglement, with the first regime set by local integrals of motion and the second by inter-site correlations.
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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.