Quantum Fourier Transform Simulation on Sunway TaihuLight

Xiaonan Liu, Lina Jing, Lixin Wang, Meiling Wang
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Abstract

Quantum Fourier Transform is a key part of many quantum computing, and it involves phase estimation, ordering and factoring. Especially in large number decomposition, periodic data can be transformed into a normal distribution of probability amplitudes. If Quantum Fourier Transform can be implemented on a large scale, it will be a threat to the security of the current RSA cryptosystem. However, the physical implementation of quantum computers currently faces many difficulties, and it is still far away from quantum computers that can exert huge computing power. Therefore, it can only be simulated by classical computers. This article uses the supercomputer independently developed by China, Sunway TaihuLight, to simulate the Quantum Fourier Transform. Based on the heterogeneous and parallel characteristics of SW26010 processor, 46 qubits Quantum Fourier Transform are simulated using MPI, the acceleration thread library, calculation and communication hiding strategy, with the acceleration ratio reaching 6.45 times.
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神威太湖之光的量子傅里叶变换仿真
量子傅里叶变换是许多量子计算的关键部分,它涉及相位估计、排序和因式分解。特别是在大量分解中,周期数据可以转化为概率幅值的正态分布。如果量子傅立叶变换能够大规模实现,将对当前RSA密码系统的安全性构成威胁。然而,量子计算机的物理实现目前面临诸多困难,距离能够发挥巨大计算能力的量子计算机还很遥远。因此,它只能用经典计算机来模拟。本文利用中国自主研制的超级计算机神威太湖之光对量子傅里叶变换进行模拟。基于SW26010处理器的异构和并行特性,采用MPI、加速线程库、计算和通信隐藏策略对46量子位量子傅里叶变换进行了仿真,加速比达到6.45倍。
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