Phase estimation and order finding using the quantum fourier transform
Jordi Pérez-Guijarro
Abstract
Quantum computing over the past few decades has experienced a huge boost, due in part to the discovery of algorithms such as the Shor's algorithm which promises a significant reduction in complexity compared to its analogues of classical computing. The main objective of this thesis is to introduce improvements in some algorithms based on the quantum Fourier transform, more specifically in the phase estimation algorithm and the order-finding algorithm. In addition to this, the problem of efficient generation of quantum states is also studied, where as a result a method has been developed for the efficient generation of quantum states.