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Computing quantum logic

(2020)

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Heuchamps_80811900_2020.pdf
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Abstract
Today, everybody uses a lot of devices, which all have a common point: they require (nano)electronic compounds (such as transistors) to work properly. Until now, the computation power of those devices increased with time, in good agreement with Moore's law. There is, however, a problem: sticking to Moore's law becomes harder and harder, and it is expected that in a near future, that law will be proven wrong. Still, manufacturers want to increase the capabilities of their devices. To achieve that, a new paradigm had to be instaured: rather than considering only the electron's charge, its spin could also be considered, leading to the concept of spintronics. Since electron's spin is considered, different (magnetic) textures can be used, such as spin waves and skyrmions. Using skyrmions in technology could have other purposes than "just" increase the performances of various devices: it could be used in quantum information theory, since it has been proven that some strange particules could be hosted in the core of a skyrmion when it is coupled to a superconductor. Such exotic particles, called Majorana fermions, could be used as solid-state qubits. In this work, the interplay between magnetism and superconductivity will be studied in a tight-binding formalism.