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Quantum Fourier transform of the Prime state

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dc.contributor Latorre, José Ignacio
dc.creator Ribas Fernández, Eduard
dc.date 2016-11-02T16:20:52Z
dc.date 2016-11-02T16:20:52Z
dc.date 2016-06
dc.date.accessioned 2024-12-16T10:23:22Z
dc.date.available 2024-12-16T10:23:22Z
dc.identifier http://hdl.handle.net/2445/103172
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/15888
dc.description Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2016, Tutor: José Ignacio Latorre Sentís
dc.description Quantum Computation is a growing and important field in applied physics research, so further theoretical foundations are continuously requested. In this regard, some mathematical algorithms have already been proposed. For instance, creating a quantum state representing the superposition of all prime number less than a value N has been shown to be efficient, and also applying the Quantum Fourier transform to it. This paper discusses the result of doing this operation and shows that some deep mathematical properties of prime numbers, such the Prime Counting function or biases in primes distribution, like the Chebyshev bias, are easily accessible via a systematic statistical approach
dc.format 5 p.
dc.format application/pdf
dc.language eng
dc.rights cc-by-nc-nd (c) Ribas, 2016
dc.rights http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights info:eu-repo/semantics/openAccess
dc.source Treballs Finals de Grau (TFG) - Física
dc.subject Ordinadors quàntics
dc.subject Transformacions de Fourier
dc.subject Treballs de fi de grau
dc.subject Quantum computers
dc.subject Fourier transformations
dc.subject Bachelor's theses
dc.title Quantum Fourier transform of the Prime state
dc.type info:eu-repo/semantics/bachelorThesis


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