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cc-by-nc-nd (c) Enríquez Cantú, Oscar Antonio, 2026
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/231692

Pauli Correlation Encoding for Balanced MinCut with initial testing on VLSI implementations

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This master thesis centers on solving the balanced MinCut problem for (hyper)graphs via Quantum Variational Algorithms. This is achieved by compressing the binary variables in the problem for various network sizes with few qubits using Pauli Correlation Encoding. We adapt an existing heuristic algorithm for hyperparameter tuning to our problem, showing empirical evidence for convergence on feasible solutions. The thesis explores relevant formulations for the problem that can be translated directly for this specific encoding. We compare our solutions to the ones provided by well known classical methods, and identify future improvements to make this quantum optimization scheme be on par with these refined classical solutions. Finally, we test this methodology on real chip design applications, where we find opportunities for better adaptation in this design problem, so the proposed mechanism can eventually be used to solve real applications in this field.

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Màster Oficial de Ciència i Tecnologia Quàntiques / Quantum Science and Technology, Facultat de Física, Universitat de Barcelona. Curs: 2025-2026. Tutors: Artur Garcia Saez, Alejandro Borrallo Rentero

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ENRÍQUEZ CANTÚ, Oscar Antonio. Pauli Correlation Encoding for Balanced MinCut with initial testing on VLSI implementations. [consulted: 4 of October of 2026]. Available at: https://hdl.handle.net/2445/231692

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