Research Explorer

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Project

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

Outputs and Outcomes

Code

DOCT/009291

Duration

14 September 2022 → 21 September 2025 (Ongoing)

Doctoral researcher

Robin Simoens

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.

English

Dutch

English

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