Project

Applications of finite geometry to spectral graph theory, subspace codes and Hilbert spaces

Code
01D08022
Duration
01 October 2022 → 31 October 2023
Funding
Regional and community funding: Special Research Fund
Promotor
Research disciplines
  • Natural sciences
    • Quantum theory
    • Geometry
    • Combinatorics
Keywords
Finite geometry Coding theory Quantum computing
 
Project description

The proposed project consists of three topics that are linked by finite geometry. WP1 focuses on determining the cospectrality of graphs coming from finite geometries. WP2 investigates bounds on the parameters of sets of projective subspaces, with applications in Random Network Coding. WP3 translates existing quantum error correcting codes into geometrical structures to make these codes more efficient.