Trotter-Error-with-Observable

Observable-Driven Speed-ups in Quantum Simulations. Wenjun Yu, Jue Xu and Qi Zhao, 2024

Short-time (light-cone)

Single local observable, sum of local observables and DQPT

More details in short_time.ipynb and dqpt_lightcone.ipynb

Random-input (average-case error) with observables

More details in random_input.ipynb

Main Reference

• A. M. Childs, Y. Su, M. C. Tran, N. Wiebe, and S. Zhu, Theory of trotter error with commutator scaling, Physical Review X 11, 011020 (2021).
• Q. Zhao, Y. Zhou, A. F. Shaw, T. Li, and A. M. Childs, Hamiltonian simulation with random inputs, Physical Review Letters 129, 270502 (2022).

Usage

# Create python environment
conda create --name myenv python=3.10 

# Install requirements
pip install -r ./code/requirements.txt