Dynamical decoupling techniques are a versatile tool for engineering quantum states with tailored properties. In trapped ions, nested layers of continuous dynamical decoupling (CDD) by means of radio-frequency field dressing can cancel dominant magnetic and electric shifts and therefore provide highly prolonged coherence times of electronic states. Exploiting this enhancement for frequency metrology, quantum simulation or quantum computation, poses the challenge to combine the decoupling with laser-ion interactions for the quantum control of electronic and motional states of trapped ions. Ultimately, this will require running quantum gates on qubits from dressed decoupled states. We provide here a compact representation of nested CDD in trapped ions, and apply it to electronic S and D states and optical quadrupole transitions. Our treatment provides all effective transition frequencies and Rabi rates, as well as the effective selection rules of these transitions. On this basis, we discuss the possibility of combining CDD and Mølmer–Sørensen gates.

中文翻译：

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由连续动态去耦保护的四极跃迁和量子门


动态解耦技术是一种多功能工具，可用于设计具有定制特性的量子态。在捕获离子中，通过射频场修整的连续动态去耦（CDD）的嵌套层可以消除主要的磁和电位移，从而提供高度延长的电子态相干时间。利用这种增强功能进行频率计量、量子模拟或量子计算，提出了将解耦与激光离子相互作用相结合以对捕获离子的电子和运动状态进行量子控制的挑战。最终，这将需要在来自修饰解耦态的量子位上运行量子门。我们在这里提供了捕获离子中嵌套 CDD 的紧凑表示，并将其应用于电子 S 和 D 态以及光学四极跃迁。我们的治疗提供了所有有效的转变频率和拉比率，以及这些转变的有效选择规则。在此基础上，我们讨论了将 CDD 和 Mølmer-Sørensen 门结合起来的可能性。