Driving Hamiltonian $\hat{H}_D$

Cost Hamiltonian $\hat{H_C}$

$[\hat{H}_D, \hat{H}_C]\neq 0$

Trotterized version of adiabatic evolution

$$ \left|\gamma,\beta\right> = \underbrace{\exp(i\beta_p \hat{H}D)}{\hat{U}_D(\beta_p)} \underbrace{\exp(i\gamma_p \hat{H}C)}{\hat{U}_C(\gamma_p)} \cdots \underbrace{\exp(i\beta_1 \hat{H}D)}{\hat{U}_D(\beta_1)} \underbrace{\exp(i\gamma_1 \hat{H}C)}{\hat{U}_C(\gamma_1)} \left|\psi_i\right> $$