Circuit implementation of Shor's algorithm for the factorization of small integers in Qiskit

Iheb E. Gharbi; Amor Gueddana; Hichem Eleuch; Vasudevan Lakshminarayanan

doi:10.1117/12.3026738

4 October 2024 Circuit implementation of Shor's algorithm for the factorization of small integers in Qiskit

Iheb E. Gharbi, Amor Gueddana, Hichem Eleuch, Vasudevan Lakshminarayanan

Proceedings Volume 13148, Quantum Communications and Quantum Imaging XXII; 131480G (2024) https://doi.org/10.1117/12.3026738
Event: Optical Engineering + Applications, 2024, San Diego, California, United States

Conference Poster

Abstract

To factor an integer N into a product of two other numbers N₁ and N₂, Shor’s algorithm uses the Quantum Fourier Transform on n qubits, denoted QFT_n, to determine the period r of a Modular Exponentiation Function (MEF), which is later used to compute a factor of N. In this work, we present Shor’s algorithm for factoring an integer of n qubits and illustrate an example with n=4. We implement our algorithm using Qiskit and IBM quantum computers, which also can be adapted on other quantum computing platforms with minor adjustments. We discuss the IBM quantum computer limitations for running our circuit and show the impact of device imperfections on the factored result.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Iheb E. Gharbi, Amor Gueddana, Hichem Eleuch, and Vasudevan Lakshminarayanan "Circuit implementation of Shor's algorithm for the factorization of small integers in Qiskit", Proc. SPIE 13148, Quantum Communications and Quantum Imaging XXII, 131480G (4 October 2024); https://doi.org/10.1117/12.3026738

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available