Ultrametric Vs. Quantum query algorithms

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Abstract

Ultrametric algorithms are similar to probabilistic algorithms but they describe the degree of indeterminism by p-adic numbers instead of real numbers. This paper introduces the notion of ultrametric query algorithms and shows an example of advantages of ultrametric query algorithms over deterministic, probabilistic and quantum query algorithms.

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Freivalds, R. (2014). Ultrametric Vs. Quantum query algorithms. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8890, pp. 1–10). Springer Verlag. https://doi.org/10.1007/978-3-319-13749-0_1

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