Quantum Circuit Design for Integer Multiplication Based on Schönhage–Strassen Algorithm

Author:

Nie Junhong1ORCID,Zhu Qinlin1,Li Meng1ORCID,Sun Xiaoming1ORCID

Affiliation:

1. State Key Laboratory of Processors, Institute of Computing Technology, Chinese Academy of Sciences, Beijing, China

Funder

National Natural Science Foundation of China

Strategic Priority Research Program of Chinese Academy of Sciences

China Postdoctoral Science Foundation

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

Subject

Electrical and Electronic Engineering,Computer Graphics and Computer-Aided Design,Software

Reference39 articles.

1. Asymptotically efficient quantum Karatsuba multiplication;gidney;arXiv 1904 07356,2019

2. Even faster integer multiplication

3. Quantum circuits for Toom-Cook multiplication

4. Fast Integer Multiplication Using Modular Arithmetic

5. Fast quantum modular exponentiation architecture for Shor’s factorization algorithm;pavlidis;arXiv 1207 0511,2012

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1. Quantum Lattice Enumeration in Limited Depth;Lecture Notes in Computer Science;2024

2. Quantum multiplication algorithm based on the convolution theorem;Physical Review A;2023-11-06

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