Optimal superadiabatic population transfer and gates by dynamical phase corrections
Optimal superadiabatic population transfer and gates by dynamical phase corrections
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DOI：
10.1088/2058-9565/aaa640
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发表时间：
2018-02
影响因子：
6.7
通讯作者：
A. Vepsäläinen;S. Danilin;G. Paraoanu
中科院分区：
文献类型：
--
作者：
A. Vepsäläinen;S. Danilin;G. Paraoanu
在许多量子技术中，绝热过程用于相干量子态操作，从而提供对控制参数中的误差的固有鲁棒性。主要的限制是绝热性要求导致的长操作时间。超绝热方法允许更快的操作，通过应用反绝热驱动来校正由于违反绝热条件而导致的激发。在这篇文章中，我们展示了如何构建的反绝热哈密顿量在一个系统中的禁戒跃迁，通过使用双光子过程，以及如何校正所产生的时间相关的ac-Stark位移，以使人口转移与单位保真度。我们进一步证明了超绝热受激拉曼通道可以在三能级系统的基态和第二激发态之间实现稳健的幺正非门。所得结果可以很容易地应用于具有阶梯能级结构的三能级transmon。
In many quantum technologies adiabatic processes are used for coherent quantum state operations, offering inherent robustness to errors in the control parameters. The main limitation is the long operation time resulting from the requirement of adiabaticity. The superadiabatic method allows for faster operation, by applying counterdiabatic driving that corrects for excitations resulting from the violation of the adiabatic condition. In this article we show how to construct the counterdiabatic Hamiltonian in a system with forbidden transitions by using two-photon processes and how to correct for the resulting time-dependent ac-Stark shifts in order to enable population transfer with unit fidelity. We further demonstrate that superadiabatic stimulated Raman passage can realize a robust unitary NOT-gate between the ground state and the second excited state of a three-level system. The results can be readily applied to a three-level transmon with the ladder energy level structure.