International Conference for Advancement in Technology (ICONAT)

Quantum Computing Approach for Solving Exactly-1 3-SAT Using Grover's Algorithm

E. Afreen Banu, Amol Atmaram Dhumal, Lukesh Kadu, Vaishali Kosamkar, Theres Bemila, Pranali Wagh

Published Sep 19, 2025• 0 citations

Abstract

This study investigates the application of quantum computing to the Boolean satisfaction problem (SAT), with a special focus on the special case of the Exactly-1 3-SAT problem. Quantum computing has shown significant advantages in solving various computational problems and achieving exponential accelerations. This study designs and implements a quantum algorithm to identify assignments that prove Boolean formulas of bound form using the Grover search algorithm. We tested the implementation of three quantum circuits using as many quantum techniques as possible using the IBM quantum simulator. Only the second implementation showed consistent results due to the number of qubits, decoherence time, and circuit complexity. This study demonstrates that the design of algorithms meets hardware constraints and lays the foundation for future research as quantum devices improve.

DOI: 10.1109/iconat66879.2025.11362575

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