Exponentially Decaying Quantum Simulation Error with Noisy Devices.
Jue Xu*, Chu Zhao*, Junyu Fan, and Qi Zhao, 2025.
Both physical (noise) error and algorithmic (Trotter) error decay exponentially during evolution
- Exponential decay of errors
- Fitting empirical exponential decay error formula
- Phase diagram of noisy Trotter error (tradeoff between circuit depth and noise rate)
- Resource for robust Trotter simulation (circuit depth and physical qubits)
- Other factors: initial states, observables, Hamiltonians
- Knee, George C., and William J. Munro. Optimal Trotterization in universal quantum simulators under faulty control. Physical Review A 91.5 (2015): 052327.
- Endo, Suguru, et al. Mitigating algorithmic errors in a Hamiltonian simulation. Physical Review A 99.1 (2019): 012334.
- Childs, Andrew M., et al. Theory of trotter error with commutator scaling. Physical Review X 11, 011020 (2021).
- Franca and Garcia-Patron Limitations of optimization algorithms on noisy quantum devices. Nature Physics 17, 1221–1227 (2021)
# Create python environment
conda create --name myenv python=3.10
# Install requirements (windows may have compatibility issues)
pip install quantum_simulation_recipe