Quantum arithmetic operations based on quantum fourier transform on signed integers

Sahin Engin

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Quantum arithmetic operations based on quantum fourier transform on signed integers

机译：Quantum算术运算基于Quantum傅里叶变换对符号整数的

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摘要

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.

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来源
《International journal of quantum information》 |2020年第6期|共21页
作者
Sahin Engin;
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作者单位

Canakkale Onsekiz Mart Univ Dept Comp &

Instruct Technol Educ TR-17100 Canakkale Turkey;

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原文格式 PDF
正文语种 eng
中图分类计算机的应用;
关键词
Quantum computing; quantum addition; quantum subtraction; quantum multiplication; quantum division; quantum comparison; quantum exponentiation;

机译：量子计算;量子加法;量子减法;量子乘法;量子划分;量子比较;量子指数;

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Quantum arithmetic operations based on quantum fourier transform on signed integers

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