Algorithm code for solving unconstrained unitary quantum brachistochrone problems (Mathematica notebook)
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We provide a basic version of the algorithm code introduced in our manuscript arXiv:1906.02934. To compare the driving time of different Hamiltonians, we use a uniform energetic constraint, as prescribed in Phys. Rev. Lett. 120, 060409.Other energetic constraint can be considered, such as the standard deviation of the Hamiltonian. The renormalization used is optional, and can be entirely removed. In this case, each Hamiltonian in the sequence will drive the system in unit time, along paths with different length in the space of states.
我们提供了本论文(arXiv:1906.02934)中所介绍的算法代码的基础版本。为对比不同哈密顿量(Hamiltonian)的驱动时长,我们采用了《物理评论快报》(Phys. Rev. Lett. 120, 060409)中规定的统一能量约束。此外也可采用其他形式的能量约束,例如哈密顿量的标准差。所采用的重整化步骤为可选操作,可完全移除。在此情况下,序列中的每一个哈密顿量都将在单位时间内驱动系统沿态空间中长度各异的路径演化。



