Experimental Demonstration of Break-Even for the Compact Fermionic Encoding
arXiv:2409.06789 · doi:10.1038/s41567-025-02931-8
Abstract
The utility of solving the Fermi-Hubbard model has been estimated in the billions of dollars. Digital quantum computers can in principle address this task, but have so far been limited to quasi one-dimensional models. This is because of exponential overheads caused by the interplay of noise and the non-locality of the mapping between fermions and qubits. Here, we show experimentally that a recently developed local encoding can overcome this problem. We develop a new compilation scheme, called "corner hopping", that reduces the cost of simulating fermionic hopping by 42% which allows us to conduct the largest digital quantum simulations of a fermionic model to date, using a trapped ion quantum computer to prepare adiabatically the ground state of a 6 x 6 spinless Fermi-Hubbard model encoded in 48 physical qubits. We also develop two new error mitigation schemes for systems with conserved quantities, one based on local postselection and one on extrapolation of local observables. Our results suggest that Fermi-Hubbard models beyond classical simulability can be addressed by digital quantum computers without large increases in gate fidelity.
26 pages, 21 figures
References in corpus (26)
- A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
- Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
- Hubbard model physics in transition metal dichalcogenide moiré bands
- The Hubbard Model
- Quantum Simulation of Electronic Structure with Linear Depth and Connectivity
- Short-range quantum magnetism of ultracold fermions in an optical lattice
- Revealing Hidden Antiferromagnetic Correlations in Doped Hubbard Chains via String Correlators
- Strategies for solving the Fermi-Hubbard model on near-term quantum computers
- Coexistence of superconductivity with partially filled stripes in the Hubbard model
- Quantum gas microscopy of an attractive Fermi-Hubbard system
- Photoinduced Pairing in the Hubbard Model
- A Compact Fermion to Qubit Mapping
- Observing ground-state properties of the Fermi-Hubbard model using a scalable algorithm on a quantum computer
- Observation of separated dynamics of charge and spin in the Fermi-Hubbard model
- Period 4 stripe in the extended two-dimensional Hubbard model
- Towards near-term quantum simulation of materials
- Adiabatic Spectroscopy and a Variational Quantum Adiabatic Algorithm
- Self-healing of Trotter error in digital adiabatic state preparation
- Measuring the Loschmidt amplitude for finite-energy properties of the Fermi-Hubbard model on an ion-trap quantum computer
- Variational counterdiabatic driving of the Hubbard model for ground-state preparation
- A Hubbard exciton fluid in a photo-doped antiferromagnetic Mott insulator
- Experimental demonstration of the advantage of adaptive quantum circuits
- Photo-induced Ferromagnetic and Superconducting Orders in Multi-orbital Hubbard Models
- Exploring Ground States of Fermi-Hubbard Model on Honeycomb Lattices with Counterdiabaticity
- Dilution of error in digital Hamiltonian simulation
- Correlations generated from high-temperature states: nonequilibrium dynamics in the Fermi-Hubbard model
Cited by in corpus (7)
- The surface code beyond Pauli channels: Logical noise coherence, information-theoretic measures, and errorfield-double phenomenology
- Variational simulation of higher-spin systems on qubit-based quantum simulators
- Simulating sparse SYK model with a randomized algorithm on a trapped-ion quantum computer
- Quantum science with arrays of metastable helium-3 atoms
- Simulating Topological Order on Quantum Processors
- Scalable Simulation of Fermionic Encoding Performance on Noisy Quantum Computers
- Near-Term Fermionic Simulation with Subspace Noise Tailored Quantum Error Mitigation