New theoretical results prove Trotter error depends on diagonal BCH elements in the Hamiltonian eigenbasis, paired with O(n) compact BCH representations and software that enable accurate error estimates up to 100+ qubits.
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Schollw¨ ock, The density-matrix renormalization group in the age of matrix product states, Ann
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Chiral graviton modes are shown to exist as long-lived excitations in non-Abelian lattice fractional quantum Hall states, detectable in small cold-atom droplets via geometric quenches.
Circularly polarized light induces an octupolar inverse Faraday effect and anisotropic multipolar exchange in 4d2/5d2 Mott insulators, opening a nonequilibrium phase space with tunable antiferro-octupolar, ferro-octupolar, and multipolar liquid states.
The frame potential of a disordered Tomonaga-Luttinger liquid decays as a power law at early times and saturates to a late-time plateau controlled by a single coupling parameter.
An analytical Hessian-vector product kernel for arbitrary linear map compositions in tensor networks is derived via recursive tangent-state propagation, enabling scalable Riemannian trust-region optimization with major fidelity gains on spin-chain circuits.
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.
In 1D Anderson and Kondo lattices, reservoir-mediated extended interactions produce near-long-range superconducting and magnetic correlations at intermediate scales before the insulating state dominates.
Entangled false-vacuum initial states in 2D quantum Ising dynamics suppress small-domain nucleation and drive macroscopic cluster formation, with boundary pinning yielding large magnetisation fluctuations.
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.
A new adaptive MPS/TT sampling method iteratively refines distributions over discrete quantum control sequences and shows competitive performance on benchmarks including qubit state transfer and gate synthesis.
Conservation laws in quantum circuits and Hamiltonians replace logarithmic coherence saturation with slow hydrodynamic relaxation globally and produce algebraic peak-time growth locally, unlike ergodic cases.
A learnable Gaussian-basis locality parameter α lowers NNVMC variational energies on the 3D electron gas and sharpens the Fermi-liquid–Wigner-crystal transition for message-passing ansatze.
Matrix-product-state calculations on a correlated two-band model show a doping-induced in-gap branch tied to excitonic correlations.
A quantized tensor network framework reduces the cost of 5D Vlasov-Maxwell simulations from O(N) to O(poly(D)) with D=64 sufficient for N=2^36 grid points.
Doping away from half-filling in superconducting-metallic bilayers breaks the balance between superconducting and density-density correlations in favor of the former, enabling near-long-range superconducting order not precluded by a small charge gap.
Hole-doped spin multimer systems exhibit superconductivity signatures when mapped to the hardcore boson model in the strong-binding-energy limit, with pairing persisting in DMRG simulations of the double Kondo lattice.
DMRG calculations on three-leg t-J ladders show power-law decaying pair correlations upon hole doping into the 1/3-filled spin-gapped state, with exponentially decaying spin correlations.
citing papers explorer
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Practical Estimation of Trotter Error for Hamiltonian Simulation
New theoretical results prove Trotter error depends on diagonal BCH elements in the Hamiltonian eigenbasis, paired with O(n) compact BCH representations and software that enable accurate error estimates up to 100+ qubits.
-
Chiral Graviton Modes in Non-Abelian lattice Fractional Quantum Hall states
Chiral graviton modes are shown to exist as long-lived excitations in non-Abelian lattice fractional quantum Hall states, detectable in small cold-atom droplets via geometric quenches.
-
Light-driven octupolar inverse Faraday effect and multipolar order in Mott insulators
Circularly polarized light induces an octupolar inverse Faraday effect and anisotropic multipolar exchange in 4d2/5d2 Mott insulators, opening a nonequilibrium phase space with tunable antiferro-octupolar, ferro-octupolar, and multipolar liquid states.
-
Solvable Random Unitary Dynamics in a Disordered Tomonaga-Luttinger Liquid
The frame potential of a disordered Tomonaga-Luttinger liquid decays as a power law at early times and saturates to a late-time plateau controlled by a single coupling parameter.
-
Hessian-vector products for tensor networks via recursive tangent-state propagation
An analytical Hessian-vector product kernel for arbitrary linear map compositions in tensor networks is derived via recursive tangent-state propagation, enabling scalable Riemannian trust-region optimization with major fidelity gains on spin-chain circuits.
-
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.
-
Mapping reservoir-enhanced superconductivity to near-long-range magnetic order in the undoped one-dimensional Anderson and Kondo lattices
In 1D Anderson and Kondo lattices, reservoir-mediated extended interactions produce near-long-range superconducting and magnetic correlations at intermediate scales before the insulating state dominates.
-
Entanglement-facilitated macroscopic cluster formation in quantum many-body dynamics
Entangled false-vacuum initial states in 2D quantum Ising dynamics suppress small-domain nucleation and drive macroscopic cluster formation, with boundary pinning yielding large magnetisation fluctuations.
-
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.
-
Adaptive Tensor Network Sampling for Quantum Optimal Control
A new adaptive MPS/TT sampling method iteratively refines distributions over discrete quantum control sequences and shows competitive performance on benchmarks including qubit state transfer and gate synthesis.
-
Coherence dynamics in quantum many-body systems with conservation laws
Conservation laws in quantum circuits and Hamiltonians replace logarithmic coherence saturation with slow hydrodynamic relaxation globally and produce algebraic peak-time growth locally, unlike ergodic cases.
-
Enhancing Neural-Network Variational Monte Carlo through Basis Transformation
A learnable Gaussian-basis locality parameter α lowers NNVMC variational energies on the 3D electron gas and sharpens the Fermi-liquid–Wigner-crystal transition for message-passing ansatze.
-
Correlation-driven branch in doped excitonic insulators
Matrix-product-state calculations on a correlated two-band model show a doping-induced in-gap branch tied to excitonic correlations.
-
Quantized tensor networks for solving the Vlasov-Maxwell equations
A quantized tensor network framework reduces the cost of 5D Vlasov-Maxwell simulations from O(N) to O(poly(D)) with D=64 sufficient for N=2^36 grid points.
-
Enhancement of superconducting stiffness in hybrid superconducting-metallic bilayers
Doping away from half-filling in superconducting-metallic bilayers breaks the balance between superconducting and density-density correlations in favor of the former, enabling near-long-range superconducting order not precluded by a small charge gap.
-
Superconductivity in doped spin multimer systems
Hole-doped spin multimer systems exhibit superconductivity signatures when mapped to the hardcore boson model in the strong-binding-energy limit, with pairing persisting in DMRG simulations of the double Kondo lattice.
-
Pairing properties of correlated three-leg ladders with strong interchain couplings near 1/3 filling
DMRG calculations on three-leg t-J ladders show power-law decaying pair correlations upon hole doping into the 1/3-filled spin-gapped state, with exponentially decaying spin correlations.