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Reviving Nuclear Magnetic Resonance as a viable approach for quantum computation and Solving simultaneous Pell equations by quantum computational means

Abstract : This thesis consists of two parts. I describe an approach for a physical realization of a quantum computer by Nuclear Magnetic Resonance (NMR). I propose a new framework for NMR that gives such a physical realization. I construct a quantum mechanical description of NMR from which I can build the fundamental elementary operators for quantum computation. I describe the experiments that build these operators. I give a polynomial time quantum algorithm to solve simultaneous Pell equations as an extension of Hallgren's algorithm for simple Pell equations.
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https://tel.archives-ouvertes.fr/tel-00534864
Contributor : Kees van Schenk Brill <>
Submitted on : Monday, December 13, 2010 - 10:00:18 AM
Last modification on : Friday, June 19, 2020 - 9:22:04 AM
Long-term archiving on: : Friday, December 2, 2016 - 10:07:15 PM

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  • HAL Id : tel-00534864, version 1

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Kees van Schenk Brill. Reviving Nuclear Magnetic Resonance as a viable approach for quantum computation and Solving simultaneous Pell equations by quantum computational means. Mathematics [math]. Université de Strasbourg, 2010. English. ⟨NNT : 2010STRA6204⟩. ⟨tel-00534864⟩

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