期刊
PHYSICAL REVIEW A
卷 104, 期 6, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.104.062438
关键词
-
资金
- National Research Foundation of Korea [NRF-2019M3E4A1080001, NRF-2021R1A2C20063091]
- Samsung DS [G01190544]
- National Research Foundation of Korea [2019M3E4A1080001] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
This work explores the characterization of quantum iterations for quantum amplitude-amplification algorithms and demonstrates the realization of QAAOs using current quantum technologies. The optimal quantum amplitude-amplification algorithm includes the Grover algorithm and a single iteration of QAAO. Three-qubit QAAOs were successfully implemented via cloud-based quantum computing services IBM Q and IonQ.
In this work, we show the characterization of quantum iterations that would generally construct quantum amplitude-amplification algorithms with a quadratic speedup, namely, quantum amplitude-amplification operators (QAAOs). Exact quantum search algorithms that find a target with certainty and with a quadratic speedup can be composed of sequential applications of QAAOs: existing quantum amplitude-amplification algorithms thus turn out to be sequences of QAAOs. We show that an optimal and exact quantum amplitude-amplification algorithm corresponds to the Grover algorithm together with a single iteration of QAAO. We then realize three-qubit QAAOs with current quantum technologies via cloud-based quantum computing services, IBMQ and IonQ. Finally, our results show that the fixed-point quantum search algorithms known so far are not a sequence of QAAOs; for example, the amplitude of a target state may decrease during quantum iterations.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据