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Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity
Frontiers of Physics ( IF 6.5 ) Pub Date : 2021-06-05 , DOI: 10.1007/s11467-021-1087-4
Sai Li , Pu Shen , Tao Chen , Zheng-Yuan Xue

High-fidelity quantum gates are essential for large-scale quantum computation. However, any quantum manipulation will inevitably affected by noises, systematic errors and decoherence effects, which lead to infidelity of a target quantum task. Therefore, implementing high-fidelity, robust and fast quantum gates is highly desired. Here, we propose a fast and robust scheme to construct high-fidelity holonomic quantum gates for universal quantum computation based on resonant interaction of three-level quantum systems via shortcuts to adiabaticity. In our proposal, the target Hamiltonian to induce noncyclic non-Abelian geometric phases can be inversely engineered with less evolution time and demanding experimentally, leading to high-fidelity quantum gates in a simple setup. Besides, our scheme is readily realizable in physical system currently pursued for implementation of quantum computation. Therefore, our proposal represents a promising way towards fault-tolerant geometric quantum computation.



中文翻译:

通过绝热捷径的非循环非绝热完整量子门

高保真量子门对于大规模量子计算至关重要。然而,任何量子操作都不可避免地受到噪声、系统误差和退相干效应的影响,从而导致目标量子任务的不保真。因此,非常需要实现高保真、稳健和快速的量子门。在这里,我们提出了一种快速而稳健的方案,以通过绝热捷径基于三级量子系统的共振相互作用来构建用于通用量子计算的高保真完整量子门。在我们的提议中,诱导非循环非阿贝尔几何相位的目标哈密顿量可以逆向设计,进化时间更少,实验要求更高,从而在简单的设置中产生高保真量子门。除了,我们的方案在目前用于实现量子计算的物理系统中很容易实现。因此,我们的提议代表了一种有前途的容错几何量子计算方式。

更新日期:2021-06-05
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