Classical and Quantum Algorithms for USO Recognition

作者: Vitor Bosshard

DOI: 10.3929/ETHZ-A-010540777

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摘要: Unique Sink Orientations (USOs) are orientations of the hypercube graph capable encoding many optimization problems, such as linear programming. When a USO is given in implicit form an oracle, recognition problem aims to distinguish from non-USO oracles. In this thesis we introduce new type orientation, pseudo-USOs, which closely related problem. We derive their combinatorial properties, up and including full characterization. Using these design efficient algorithms both classical quantum models computation.

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