Block-product paired non-Gaussian fermionic states allow efficient classical additive-error approximation of transition amplitudes, overlaps, and high-weight correlators under free-fermionic dynamics using multivariate Pfaffian polynomials.
arXiv:2510.26300 (2025)
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TD-FLF reduces the time-dependent Schrödinger equation for correlated fermions to a generalized eigenvalue problem using a time-dependent distribution of a classical fluctuating field, yielding results close to exact diagonalization on half-filled 2D Hubbard lattices while outperforming mean-field.
The biplanar architecture maps Fermi-Hubbard spin sectors to two planes, eliminating swaps and cutting each Trotter step depth to 4t_synth + 90 logical timesteps versus 6t_synth + 354 in single-plane methods, yielding an estimated 2-hour runtime for L=8 with 1.35 million physical qubits under a 1% 1
Mixed physical-logical datasets for zero-noise extrapolation reduce estimator variance and physical runtime by orders of magnitude compared to pure logical or pure physical strategies when error correction suppresses noise by a factor of 0.1 or less.
NISQ quantum simulation of spin-wave spectra in 2D chromium tri-halide magnets achieves agreement with classical benchmarks at quasi-constant wall-time scaling.
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Classical simulation of free-fermionic dynamics and quantum chemistry with magic input
Block-product paired non-Gaussian fermionic states allow efficient classical additive-error approximation of transition amplitudes, overlaps, and high-weight correlators under free-fermionic dynamics using multivariate Pfaffian polynomials.
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Time-dependent fluctuating local field approach for description of the correlated fermions dynamics
TD-FLF reduces the time-dependent Schrödinger equation for correlated fermions to a generalized eigenvalue problem using a time-dependent distribution of a classical fluctuating field, yielding results close to exact diagonalization on half-filled 2D Hubbard lattices while outperforming mean-field.
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Two Layers, No Swaps: Biplanar SPOQC Architecture Improves Runtime of Fermi-Hubbard Simulation
The biplanar architecture maps Fermi-Hubbard spin sectors to two planes, eliminating swaps and cutting each Trotter step depth to 4t_synth + 90 logical timesteps versus 6t_synth + 354 in single-plane methods, yielding an estimated 2-hour runtime for L=8 with 1.35 million physical qubits under a 1% 1
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Runtime-efficient zero-noise extrapolation from mixed physical and logical data
Mixed physical-logical datasets for zero-noise extrapolation reduce estimator variance and physical runtime by orders of magnitude compared to pure logical or pure physical strategies when error correction suppresses noise by a factor of 0.1 or less.
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Quantum Simulation of Magnetic Materials: from Ab-Initio to NISQ
NISQ quantum simulation of spin-wave spectra in 2D chromium tri-halide magnets achieves agreement with classical benchmarks at quasi-constant wall-time scaling.