The reduced transition matrix in chaotic dual-unitary quantum circuits has low-rank structure with entropy growing at most logarithmically in time, enabling efficient approximation for local expectation values.
Vidal, Efficient simulation of one-dimensional quan- tum many-body systems, Phys
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TNPA uses tensor-network contractions only in a reliable temperature window to seed population annealing, with an effective-sample-size diagnostic to pick the switch-over temperature.
Neural quantum states with a tailored 3D convolutional architecture simulate quench dynamics up to 1000 qubits and verify the 3D quantum Kibble-Zurek mechanism with RG-derived logarithmic corrections and data collapse.
The site basis excitation ansatz computes accurate one-magnon dispersions for the S=1 Heisenberg chain by constructing a small non-orthogonal basis from a single-site-like diagonalization and solving small matrices for each momentum.
A hybrid method uses fixed quantum annealing states as boundary resources for classical MERA tensor networks to improve ground-state approximations without deeper quantum circuits.
Hybrid Lanczos and MPS methods with classical Ehrenfest phonons provide numerical evidence that electron-phonon coupling delocalizes strongly disordered systems and destabilizes finite-size many-body localization.
Tuning quadrupolar interactions in a spin-1 chain reveals a conserved quantity at the SU(3) point that limits accessible states and alters quench dynamics of magnetization, entanglement, and correlations.
citing papers explorer
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Low Rank Structure of the Reduced Transition Matrix
The reduced transition matrix in chaotic dual-unitary quantum circuits has low-rank structure with entropy growing at most logarithmically in time, enabling efficient approximation for local expectation values.
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Tensor-Network Population Annealing
TNPA uses tensor-network contractions only in a reliable temperature window to seed population annealing, with an effective-sample-size diagnostic to pick the switch-over temperature.
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Real-time Dynamics in 3D for up to 1000 Qubits with Neural Quantum States: Quenches and the Quantum Kibble--Zurek Mechanism
Neural quantum states with a tailored 3D convolutional architecture simulate quench dynamics up to 1000 qubits and verify the 3D quantum Kibble-Zurek mechanism with RG-derived logarithmic corrections and data collapse.
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Site Basis Excitation Ansatz for Matrix Product States
The site basis excitation ansatz computes accurate one-magnon dispersions for the S=1 Heisenberg chain by constructing a small non-orthogonal basis from a single-site-like diagonalization and solving small matrices for each momentum.
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Combining non-parametric quantum states and MERA tensor networks for ground-state optimization
A hybrid method uses fixed quantum annealing states as boundary resources for classical MERA tensor networks to improve ground-state approximations without deeper quantum circuits.
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Hybrid quantum-classical matrix-product state and Lanczos methods for electron-phonon systems with strong electronic correlations: Application to disordered systems coupled to Einstein phonons
Hybrid Lanczos and MPS methods with classical Ehrenfest phonons provide numerical evidence that electron-phonon coupling delocalizes strongly disordered systems and destabilizes finite-size many-body localization.
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Quantum quenches in a spin-1 chain with tunable symmetry
Tuning quadrupolar interactions in a spin-1 chain reveals a conserved quantity at the SU(3) point that limits accessible states and alters quench dynamics of magnetization, entanglement, and correlations.