One-Step Implementation of Time-Optimal-Control Three-Qubit Nonadiabatic Holonomic Controlled Gates in Rydberg Atoms
One-Step Implementation of Time-Optimal-Control Three-Qubit Nonadiabatic Holonomic Controlled Gates in Rydberg Atoms
复制标题
里德堡原子中时间最优控制三量子位非绝热完整控制门的一步实现
DOI：
10.1103/physrevapplied.16.064040
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发表时间：
2021
影响因子：
4.6
通讯作者：
Jia Y.
中科院分区：
文献类型：
--
作者：
Sun Li-Na;Yan L-L;Su Shi-Lei;Jia Y.
我们提出了一种一步方案，通过调制目标原子上驱动场的拉比频率，在里德堡原子中实现时间最优的非绝热完整三量子位控制门。我们按照速时线曲线执行时间最优操作，之后该方案表现出与传统非绝热完整量子计算（NHQC）完全不同的特征，即所有操作都需要完全相同的演化时间，即使对于小角度旋转也是如此。由于当前的三量子位控制门方案显着减少了演化时间，因此可以大大减少退相干的影响。另一方面，几何相位的特征也可以保证对系统误差的鲁棒性。通过主方程进行仿真验证了该方案的高保真度和鲁棒性。虽然我们使用里德堡原子系统来验证我们方案的可行性，但任何能够实现相同形式的有效哈密顿量的量子平台都是可行的，这意味着所提出的三量子位时间最优控制非绝热完整门独立于特定的物理平台，并且可能具有更广泛应用的潜力。
We propose a one-step scheme to implement the time-optimal nonadiabatic holonomic three-qubit controlled gates in Rydberg atoms by modulating Rabi frequencies of driving fields on the target atom. We perform the time-optimal operations following the brachistochrone curve, after which the scheme manifests completely different characteristics in contrast to the conventional nonadiabatic holonomic quantum computation (NHQC) that all operations require exactly the same evolution time, even for small angular rotations. Since the present three-qubit controlled-gate scheme significantly reduces the evolution time, the influence of decoherence can be greatly reduced. On the other hand, the robustness on the systematic error can also be guaranteed by the feature of geometric phase. The simulation through master equation verifies the high fidelity and robustness of our scheme. Although we use the Rydberg-atom system to verify the feasibility of our scheme, any quantum platforms capable of achieving the same form of effective Hamiltonian is feasible, which means the proposed three-qubit time-optimal-control nonadiabatic holonomic gates is independent of the particular physical platform and may have the potential for wider application.