Essays about: "projective"

Showing result 1 - 5 of 31 essays containing the word projective.

  1. 1. Projective Geometry in Kinematics

    University essay from Umeå universitet/Institutionen för matematik och matematisk statistik

    Author : Emil Eriksson; [2024]
    Keywords : ;

    Abstract : In this thesis, we study projective geometry and show a connection to kinematics. We show how the group of rigid body motions in three-dimensional space can be parameterized on a hyperbolic quadric in a seven-dimensional projective space. We also show that this quadric is a geometry with triality, and we discuss triality from a kinematic viewpoint. READ MORE

  3. 2. Robust non-Abelian geometric phases on three-qubit spin codes

    University essay from Uppsala universitet/Materialteori

    Author : Parham Azish; [2024]
    Keywords : Quantum information theory; Holonomic quantum computing; non-abelian systems;

    Abstract : Quantum holonomies are non-Abelian Geometric Phases predominantly observed in adiabatic, non-adiabatic, or measurement-based quantum evolutions. Their significance lies in their potential utility within quantum computing due to their robustness against noise throughout the parameter path. READ MORE

  4. 3. An Introduction to Symmetry Protected Topological Phases

    University essay from Uppsala universitet/Teoretisk fysik

    Author : David Petrovic; [2023]
    Keywords : ;

    Abstract : In this thesis, we aim to display characteristics of symmetry protected topological phases within quantum mechanics (QM). Building on well known aspects of QM, we relate the formalism to basic group representation theory, and review the connection between projective symmetries and protected vacuum degeneracies. READ MORE

  5. 4. On Geometric Number

    University essay from Uppsala universitet/Analys och partiella differentialekvationer

    Author : Petter Gunnarsson; [2023]
    Keywords : clifford algebra; hypercomplex number; octonion;

    Abstract : This is an overview of geometric algebras in dimensions 0-4 from the perspective of the concept of number itself. It is developed from a historic viewpoint and investigates and develops a pedagogic approach emphasizing the geometric aspects of the subject. READ MORE

  6. 5. Automation of forest road inventory using computer vision and machine learning

    University essay from Umeå universitet/Institutionen för fysik

    Author : Jacques de Flon; [2023]
    Keywords : Computer vision; Machine Learning; Image recognition; forestry; road inventory; pothole; gravel road;

    Abstract : There are around 300, 000 kilometer of gravel roads throughout the Swedish countryside, used every day by common people and companies. These roads face constant wear due to harsh weather as well as from heavy traffic, and thus, regular maintenance is required to keep up the road standard. READ MORE