Transferring States in Discrete Quantum Walks

Explore the intricacies of discrete quantum walks in this 55-minute lecture by Hanmeng Zhan from York University. Delve into topics such as graph matrices, coins of order two, state transfer mechanisms, and the concept of pretty good state transfer. Examine spectral correspondences, strong cospectrality reduction, and geodetic angles. Investigate quantum walk searches, including marked vertex scenarios and average search probability. Analyze distance regular graphs and compare discrete and continuous quantum walks. Gain insights into the one-quarter success probability theorem and participate in a concluding question session.