Optimal control with a multidimensional quantum invariant
Optimal control with a multidimensional quantum invariant
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DOI：
10.1103/physreva.108.022601
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发表时间：
2022-12
影响因子：
2.9
通讯作者：
Modesto Orozco-Ruiz;Selwyn Simsek;S. Kulmiya;S. Hile;W. Hensinger;F. Mintert
中科院分区：
文献类型：
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作者：
Modesto Orozco-Ruiz;Selwyn Simsek;S. Kulmiya;S. Hile;W. Hensinger;F. Mintert
连续变量系统的最优量子控制是一个巨大的计算挑战，因为系统动力学的高维特征。量子不变量的框架可以显着降低这些问题的复杂性，但它需要与所讨论的系统的哈密顿相容的不变量的知识。我们探讨了高斯不变量的潜力，它适合于具有任何给定数量的运动自由度的二次哈密顿量的量子最优控制问题，这些问题受到当前基态到基态穿梭的捕获离子的挑战的启发。
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.