Simulation of IBM’s kicked Ising experiment with Projected Entangled Pair Operator

The code for arXiv:2308.03082 by Hai-Jun Liao, Kang Wang, Zong-Sheng Zhou, Pan Zhang, and Tao Xiang

The tensor network structure we used of IBM's Eagle Processor

Exactly computing expectations with $5+1$ Trotter steps

Runing the following command lines to exactly compute $M_z$, $W_{10}$, $W_{17}$ and $\tilde{W}_{17}$ by the Clifford expansion theory. See our paper arXiv:2308.03082 for details.

$ cd ExactTNC
$ matlab -nodesktop -nosplash < Fig3a.m > out_Fig3a 2>&1 & 
$ matlab -nodesktop -nosplash < Fig3b.m > out_Fig3b 2>&1 &
$ matlab -nodesktop -nosplash < Fig3c.m > out_Fig3c 2>&1 &
$ matlab -nodesktop -nosplash < Fig4a.m > out_Fig4a 2>&1 &

Our exact results of $\tilde{W}_{17}$ with 5+1 Trotter steps are shown in the file "Exact_Fig4a.dat".

Approximately computing expectations using the PEPO method

Run the following command lines to approximately compute the $M_z$, $W_{10}$, $W_{17}$, $\tilde{W}{17}$, and $Z{62}$ using our PEPO method in Heisenberg evolution

$ cd PEPO
$ matlab -nodesktop -nosplash < Fig3a.m > out_Fig3a 2>&1 &
$ matlab -nodesktop -nosplash < Fig3b.m > out_Fig3b 2>&1 &
$ matlab -nodesktop -nosplash < Fig3c.m > out_Fig3c 2>&1 &
$ matlab -nodesktop -nosplash < Fig4a.m > out_Fig4a 2>&1 &
$ matlab -nodesktop -nosplash < Fig4b.m > out_Fig4b 2>&1 &