Realization of t-bit semiclassical quantum Fourier transform on IBM's quantum cloud computer

• 来源期刊: 中国物理B（英文版）
• 关键词: quantum cloud computation quantum Fourier transform semiclassical quantum Fourier transform Shor's algorithm
• 年，卷（期）: 2019,（2）
• 页码范围: 113-118
• 页数: 6页
• 语种: 英文
• DOI: 10.1088/1674-1056/28/2/020302

摘要

To overcome the difficulty of realizing large-scale quantum Fourier transform (QFT) within existing technology, this paper implements a resource-saving method (named t-bit semiclassical QFT over Z2n), which could realize large-scale QFT using an arbitrary-scale quantum register. By developing a feasible method to realize the control quantum gate Rk, we experimentally realize the 2-bit semiclassical QFT over Z23 on IBM's quantum cloud computer, which shows the feasibility of the method. Then, we compare the actual performance of 2-bit semiclassical QFT with standard QFT in the experiments. The squared statistical overlap experimental data shows that the fidelity of 2-bit semiclassical QFT is higher than that of standard QFT, which is mainly due to fewer two-qubit gates in the semiclassical QFT. Furthermore, based on the proposed method, N = 15 is successfully factorized by implementing Shor's algorithm.