GPU-Accelerated Classical Simulation Narrows Quantum Advantage Claim for Fermi-Hubbard Model
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[Submitted on 3 Jun 2026]
Not artisan, but a perfectly fine bagel. Hits the spot.
Summary
This paper challenges Q-CTRL's claimed 3000× quantum advantage for simulating 1D Fermi-Hubbard quench dynamics. The authors used GPU-accelerated tensor contractions and full U(1)×SU(2) symmetry to achieve classical simulations with bond dimensions up to χ≈62,000 on four NVIDIA H200 GPUs—15× larger than Q-CTRL's classical baseline. They achieved fully converged results across the entire simulation window (including the previously unresolved high-entanglement regime t∈[5.2,6]) and advanced the classical frontier to t=7, beyond the quantum experiment. At comparable bond dimensions, their GPU implementation completed in ~100 minutes, reducing the claimed 3000× quantum advantage to ~36×.
Key quotes
· 4 pulledReaching bond dimensions up to χ≈62,000 on four NVIDIA H200 GPUs — among the largest ever achieved in TDVP simulations and fifteen times larger than Q-CTRL's classical baseline — we achieve fully converged results across the entire simulation window.
At the bond dimension comparable to Q-CTRL's best classical run, our GPU implementation completes in ~100 minutes, directly reducing the claimed 3000× quantum advantage to ~36×.
These results substantially narrow the quantum-classical performance gap and establish a new standard for tensor-network benchmarking of large-scale quantum simulations.
We further advance the classical frontier to t=7, which lies beyond the quantum hardware experiment and any previously verified classical evolution of the full wavefunction.
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