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  • Open Access

    ARTICLE

    Analysis of Innovative Quantum Optimization Solutions for Shor’s Period Finding Algorithm Applied to the Computation of

    Kaleb Dias Antoine KODO1,*, Eugène C. EZIN1,2

    Journal of Quantum Computing, Vol.7, pp. 17-38, 2025, DOI:10.32604/jqc.2025.059089 - 08 April 2025

    Abstract In the rapidly evolving domain of quantum computing, Shor’s algorithm has emerged as a groundbreaking innovation with far-reaching implications for the field of cryptographic security. However, the efficacy of Shor’s algorithm hinges on the critical step of determining the period, a process that poses a substantial computational challenge. This article explores innovative quantum optimization solutions that aim to enhance the efficiency of Shor’s period finding algorithm. The article focuses on quantum development environments, such as Qiskit and Cirq. A detailed analysis is conducted on three notable tools: Qiskit Transpiler, BQSKit, and Mitiq. The performance of More >

  • Open Access

    ARTICLE

    A Technical Note for a Shor’s Algorithm by Phase Estimation

    Gérard Fleury, Philippe Lacomme*

    Journal of Quantum Computing, Vol.4, No.2, pp. 97-111, 2022, DOI:10.32604/jqc.2022.032973 - 16 May 2023

    Abstract The objective of this paper concerns at first the motivation and the method of Shor’s algorithm including remarks on quantum computing introducing an algorithmic description of the method. The corner stone of the Shor’s algorithm is the modular exponentiation that is the most computational component (in time and space). A linear depth unit based on phase estimation is introduced and a description of a generic version of a modular multiplier based on phases is introduced to build block of a gates to efficient modular exponentiation circuit. Our proposal includes numerical experiments achieved on both the More >

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