# Mini-Course on Discrete Quantum Walks at CMS, December 2022

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Warning: the cells in each section are linked!

## Basics

Random walk on $P_n$
Line digraph
Quantum walk on $P_n$: transition matrix
Quantum walk on $P_n$: states
Quantum walk on $P_n$: probabilities over the arcs
Quantum walk on $P_n$: probabilities over the vertices
Grover's search
## Spectral analysis

Graph spectra vs walk spectra
Perfect state transfer