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  • Open Access

    ARTICLE

    State-Space Reduction Techniques Exploiting Specific Constraints for Quantum Search Initialization, Application to an Outage Planning Problem

    Rodolphe Griset1,#,*, Ioannis Lavdas2,§, Jiří Guth Jarkovský3

    Journal of Quantum Computing, Vol.7, pp. 81-105, 2025, DOI:10.32604/jqc.2025.066064 - 08 December 2025

    Abstract Quantum search has emerged as one of the most promising fields in quantum computing. State-of-the-art quantum search algorithms enable the search for specific elements in a distribution by monotonically increasing the density of these elements relative to the rest of the distribution. These kinds of algorithms demonstrate a theoretical quadratic speed-up on the number of queries compared to classical search algorithms in unstructured spaces. Unfortunately, the major part of the existing literature applies quantum search to problems whose size grows exponentially with the input size without exploiting any specific problem structure, rendering this kind of… More >

  • Open Access

    ARTICLE

    Grover’s Algorithm in a 4-Qubit Search Space

    Saasha Joshi*, Deepti Gupta

    Journal of Quantum Computing, Vol.3, No.4, pp. 137-150, 2021, DOI:10.32604/jqc.2021.018114 - 10 January 2022

    Abstract This paper provides an introduction to a quantum search algorithm, known as Grover’s Algorithm, for unsorted search purposes. The algorithm is implemented in a search space of 4 qubits using the Python-based Qiskit SDK by IBM. While providing detailed proof, the computational complexity of the algorithm is generalized to n qubits. The implementation results obtained from the IBM QASM Simulator and IBMQ Santiago quantum backend are analyzed and compared. Finally, the paper discusses the challenges faced in implementation and real-life applications of the algorithm hitherto. Overall, the implementation and analysis depict the advantages of this More >

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