论文标题
具有多维量子不变的最佳控制
Optimal control with a multidimensional quantum invariant
论文作者
论文摘要
连续变量系统的最佳量子控制构成了强大的计算挑战，因为系统动力学的高度特征。量子不变的框架可以显着降低此类问题的复杂性，但它需要了解与所讨论系统的哈密顿量兼容的不变性。我们探索了一个适合于二次汉密尔顿人的高斯不变的潜力，该二次汉密尔顿人具有任何给定数量的量子最佳控制问题的自由度，这是受到陷阱属于地面至地面国家航天飞机的当前挑战的启发。
Optimal quantum control of continuous variable systems poses a formidable computational challenge because of the high-dimensional character of the system dynamics. The framework of quantum invariants can significantly reduce the complexity of such problems, but it requires the knowledge of an invariant compatible with the Hamiltonian of the system in question. We explore the potential of a Gaussian invariant that is suitable for quadratic Hamiltonians with any given number of motional degrees of freedom for quantum optimal control problems that are inspired by current challenges in ground-state-to-ground-state shuttling of trapped-ions.
