TY - GEN
T1 - Using Single Time of Quantum Computer for Shor's Factoring Algorithm
AU - Alhammadi, Yousef
N1 - Publisher Copyright:
© 2023 IEEE.
PY - 2023
Y1 - 2023
N2 - Peter Shor's in 1994 developed a factoring algorithm that can factor a composite number n in a polynomial time by using a quantum computer in one step of the algorithm. The algorithm may contain a loop that requires calling a quantum computer many times to find the order of selected number a, a\in Z_n. In this paper, the improvement to the Shor's factoring algorithm guarantees the single use of the quantum computer to find the order, where the rest of the algorithm can be implemented by a classical computer. A numerical example for the original and improved version is presented.
AB - Peter Shor's in 1994 developed a factoring algorithm that can factor a composite number n in a polynomial time by using a quantum computer in one step of the algorithm. The algorithm may contain a loop that requires calling a quantum computer many times to find the order of selected number a, a\in Z_n. In this paper, the improvement to the Shor's factoring algorithm guarantees the single use of the quantum computer to find the order, where the rest of the algorithm can be implemented by a classical computer. A numerical example for the original and improved version is presented.
KW - Factoring algorithm
KW - Shor's factoring algorithm
KW - polynomial time
UR - http://www.scopus.com/inward/record.url?scp=85158154160&partnerID=8YFLogxK
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U2 - 10.1109/ITIKD56332.2023.10099702
DO - 10.1109/ITIKD56332.2023.10099702
M3 - Conference contribution
AN - SCOPUS:85158154160
T3 - 2023 International Conference on IT Innovation and Knowledge Discovery, ITIKD 2023
BT - 2023 International Conference on IT Innovation and Knowledge Discovery, ITIKD 2023
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2023 International Conference on IT Innovation and Knowledge Discovery, ITIKD 2023
Y2 - 8 March 2023 through 9 March 2023
ER -