Error-Mitigated Quantum Simulation of Interacting Fermions with Trapped Ions
arXiv:2302.10436 · doi:10.1038/s41534-023-00784-8
Abstract
Quantum error mitigation has been extensively explored to increase the accuracy of the quantum circuits in noisy-intermediate-scale-quantum (NISQ) computation, where quantum error correction requiring additional quantum resources is not adopted. Among various error-mitigation schemes, probabilistic error cancellation (PEC) has been proposed as a general and systematic protocol that can be applied to numerous hardware platforms and quantum algorithms. However, PEC has only been tested in two-qubit systems and a superconducting multi-qubit system by learning a sparse error model. Here, we benchmark PEC using up to four trapped-ion qubits. For the benchmark, we simulate the dynamics of interacting fermions with or without spins by applying multiple Trotter steps. By tomographically reconstructing the error model and incorporating other mitigation methods such as positive probability and symmetry constraints, we are able to increase the fidelity of simulation and faithfully observe the dynamics of the Fermi-Hubbard model, including the different behavior of charge and spin of fermions. Our demonstrations can be an essential step for further extending systematic error-mitigation schemes toward practical quantum advantages.
arXiv comment15 pages, 11 figures
References in corpus (45)
- Quantum Computing in the NISQ era and beyond
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- A variational eigenvalue solver on a quantum processor
- Variational Quantum Algorithms
- Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
- Noisy intermediate-scale quantum (NISQ) algorithms
- Error mitigation for short-depth quantum circuits
- Strong quantum computational advantage using a superconducting quantum processor
- Quantum computation with ions in thermal motion
- The Variational Quantum Eigensolver: a review of methods and best practices
- Extending the computational reach of a noisy superconducting quantum processor
- Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
- Demonstration of a small programmable quantum computer with atomic qubits
- Hartree-Fock on a superconducting qubit quantum computer
- A simple formula for the average gate fidelity of a quantum dynamical operation
- Universal digital quantum simulation with trapped ions
- Hybrid Quantum-Classical Hierarchy for Mitigation of Decoherence and Determination of Excited States
- Manipulation and Detection of a Trapped Yb+ Ion Hyperfine Qubit
- A compact ion-trap quantum computing demonstrator
- Digital quantum simulation of fermionic models with a superconducting circuit
- Quantum simulation of a Fermi-Hubbard model using a semiconductor quantum dot array
- Entanglement and Tunable Spin-Spin Couplings Between Trapped Ions Using Multiple Transverse Modes
- Quantum Implementation of Unitary Coupled Cluster for Simulating Molecular Electronic Structure
- Probabilistic error cancellation with sparse Pauli-Lindblad models on noisy quantum processors
- Error-mitigated digital quantum simulation
- Low-cost error mitigation by symmetry verification
- Virtual Distillation for Quantum Error Mitigation
- Mitigation of readout noise in near-term quantum devices by classical post-processing based on detector tomography
- Scalable error mitigation for noisy quantum circuits produces competitive expectation values
- Parallel Entangling Operations on a Universal Ion Trap Quantum Computer
- Increasing the representation accuracy of quantum simulations of chemistry without extra quantum resources
- Fundamental limits of quantum error mitigation
- Scalable global entangling gates on arbitrary ion qubits
- Application of fermionic marginal constraints to hybrid quantum algorithms
- Time-Resolved Observation of Spin-Charge Deconfinement in Fermionic Hubbard Chains
- Decoding quantum errors with subspace expansions
- Quantum Simulation of Interacting Fermion Lattice Models in Trapped Ions
- Observation of separated dynamics of charge and spin in the Fermi-Hubbard model
- Spin-charge separation in a 1D Fermi gas with tunable interactions
- Quasiprobability decompositions with reduced sampling overhead
- Quantum error mitigation via matrix product operators
- Crosstalk Suppression in Individually Addressed Two-Qubit Gates in a Trapped-Ion Quantum Computer
- Correcting detection error in quantum computation and state engineering through data processing
- Quantum approximate Bayesian computation for NMR model inference
- Efficient Two-Electron Ansatz for Benchmarking Quantum Chemistry on a Quantum Computer