Programmable digital quantum simulation of 2D Fermi-Hubbard dynamics using 72 superconducting qubits

arXiv:2510.26845 · quant-ph, cond-mat.mtrl-sci · Submitted 2025-10-30 · Read on arXiv

quant-ph, cond-mat.mtrl-sci

Submitted: 2025-10-30

Updated: 2026-09-23

Comments: 94 pages, 76 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Hubbard Model — 30× in this paper · explained in 3 episodes
• Benchmarking — 21× in this paper · explained in 3 episodes
• Post-Selection — 20× in this paper · explained in 2 episodes
• Quantum Circuits — 14× in this paper · explained in 2 episodes
• Accuracy — 13× in this paper · explained in 1 episode
• Fidelity — 13× in this paper · explained in 2 episodes
• Benchmark — 9× in this paper · explained in 2 episodes
• Fermionic Linear Optics — 9× in this paper
• Maximum Entropy Shot-Reweighting — 7× in this paper
• Gaussian Process Regression — 6× in this paper
• Hilbert Space — 5× in this paper · explained in 2 episodes
• Entanglement — 4× in this paper · explained in 3 episodes
• Inverse Participation Ratio (IPR) — 4× in this paper · explained in 2 episodes
• Probabilistic Error Amplification — 4× in this paper
• Zero Noise Extrapolation — 4× in this paper
• Anti-correlation — 3× in this paper · explained in 3 episodes
• Antiferromagnetic Correlation — 3× in this paper · explained in 1 episode
• Calibration — 3× in this paper · explained in 7 episodes
• Decoupling — 3× in this paper · explained in 2 episodes
• Verification — 3× in this paper · explained in 2 episodes
• Training with Fermionic Linear Optics — 2× in this paper
• Adjacency Matrix — 1× in this paper · explained in 1 episode
• Aharonov-Bohm Effect — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Gauge Freedom — 1× in this paper · explained in 2 episodes
• Gibbs State — 1× in this paper · explained in 2 episodes
• Homogeneity — 1× in this paper · explained in 2 episodes
• Mean-Field Dynamics — 1× in this paper · explained in 2 episodes
• Quantum Physics — 1× in this paper · explained in 10 episodes
• Singular Value Decomposition (SVD) — 1× in this paper · explained in 2 episodes

Sources

• Error mitigation by training with fermionic linear optics
• Observation of separated dynamics of charge and spin in the Fermi-Hubbard model
• Quantum Utility in Simulating the Real-time Dynamics of the Fermi-Hubbard Model using Superconducting Quantum Computers
• Non-zero noise extrapolation: accurately simulating noisy quantum circuits with tensor networks
• Simulation of Fermionic circuits using Majorana Propagation
• Microscopy of Ultracold Fermions in Optical Lattices
• Thermalization and Criticality on an Analog-Digital Quantum Simulator
• Quantum thermalization dynamics with Matrix-Product States
• Fermionic dynamics on a trapped-ion quantum computer beyond exact classical simulation
• Gaussian decomposition of magic states for matchgate computations
• Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions
• Quantum circuit simulation with a local time-dependent variational principle
• Matrix Product State Representations
• Pauli Propagation: A Computational Framework for Simulating Quantum Systems
• Large-Scale Quantum Device Benchmarking via LXEB with Particle-Number-Conserving Random Quantum Circuits
• Spoofing Linear Cross-Entropy Benchmarking in Shallow Quantum Circuits

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