Workshop on Algebraic Graph Theory and Quantum Information

Explore the intersection of algebraic graph theory and quantum information through this comprehensive workshop featuring 15 specialized lectures delivered over five days. Delve into advanced topics including Hermitian adjacency matrices of digraphs, quantum walks and their applications to universal quantum computation, eigenvalue gaps in continuous walks, and the construction of graph pairs for homomorphism counting. Examine cutting-edge research on fractional revival phenomena, topological graph states, and unit gain graphs with distinct eigenvalues. Investigate spatial search algorithms on Johnson graphs using continuous-time quantum walks, Q-polynomial graphs and their connection to quantum groups, and state transfer mechanisms in discrete quantum walks. Study optimal distortion embeddings of distance-regular graphs in Euclidean spaces, oriented Cayley graphs, and the entanglement properties of free fermions on graph structures. Gain insights into path potentials that prevent effective state transfer and explore the relationship between root lattices over Gaussian integers and graph theory applications in quantum information processing.