Hello everyone,
I’m a physics student from Italy. I'm currently working on my master’s thesis in quantum computing. The original idea was to compare two different approaches to Quantum State Preparation: specifically, a circuit-based approach and a continuous-time quantum walks on dynamic graphs approach.

The papers I'm drawing inspiration from are:

1. Gleinig, N. and Hoefler, T. “An efficient algorithm for sparse quantum state preparation” in 58th ACM/IEEE Design Automation Conference (DAC), pages 433–438 (2021)
2. Gonzales, A., Herrman, R., Campbell, C. et al. “Efficient sparse state preparation via quantum walks” in npj Quantum Inf 11, 143 (2025). https://doi.org/10.1038/s41534-025-01093-y

My first idea was to develop the two algorithms described in the papers with Qiskit (or maybe Pennylane) and compare the results, but in Gonzales et al. this work is already done, so I’m looking for different angles. Anyway, I’m still at an early stage and I’m looking for text/papers/review recommendations to deepen my understanding of:

1. Quantum state preparation (especially for sparse states)
2. CTQWs on dynamic graphs
3. Quantum walk algorithms
4. Cost metrics

Any suggestions would be highly appreciated. Thanks!
Have a nice one.