论文标题
量子算术操作基于符号整数上的量子傅里叶变换
Quantum arithmetic operations based on quantum Fourier transform on signed integers
论文作者
论文摘要
对于大多数量子计算机上的操作，量子傅立叶变换（QFT）在许多方面，尤其是资源的使用效率。在这项研究中，检查了现有的基于QFT和非QFT的量子算术操作。通过一些修改，可以提高基于QFT的添加和乘法的功能。将提出的操作与最近的量子算术操作进行了比较。此外，还提出了基于新颖的基于QFT的减法，分裂和凸起操作。提出的算术操作可以对所有签名的数字进行非模块化操作，而不会使用更少的资源来执行任何限制。此外，还通过使用拟议的基于QFT的加法和减法操作来介绍两个补体，绝对值和比较操作的新型量子电路。
The quantum Fourier transform (QFT) brings efficiency in many respects, especially usage of resource, for most operations on quantum computers. In this study, the existing QFT-based and non-QFT-based quantum arithmetic operations are examined. The capabilities of QFT-based addition and multiplication are improved with some modifications. The proposed operations are compared with the nearest quantum arithmetic operations. Furthermore, novel QFT-based subtraction, division and exponentiation operations are presented. The proposed arithmetic operations can perform nonmodular operations on all signed numbers without any limitation by using less resources. In addition, novel quantum circuits of two's complement, absolute value and comparison operations are also presented by using the proposed QFT-based addition and subtraction operations.
