@article{roget2024distributed,title={A Quantum Walk-Based Scheme for Distributed Searching on Arbitrary Graphs},author={Roget, Mathieu and Molfetta, Giuseppe Di},year={2024},booktitle={Cellular Automata Technology},publisher={Springer Nature Switzerland},address={Cham},pages={72--83},}
This is the documentation for the python package qwgraph. This package’s aim is to provide an efficient implementation of quantum walks on graphs. The quantum walk model implemented in this package follows the paper https://arxiv.org/abs/2310.10451 . This model is specifically designed for searching. Most of the critical functions of this package are implemented and compiled in rust, providing an efficient simulation. An example notebook can be found at https://github.com/mroget/qwgraph/blob/main/demo.ipynb
2023
PRR
Optimality conditions for spatial search with multiple marked vertices
Mathieu Roget, Hachem Kadri, and Giuseppe Di Molfetta
@article{roget2023optimality,title={Optimality conditions for spatial search with multiple marked vertices},author={Roget, Mathieu and Kadri, Hachem and Di Molfetta, Giuseppe},journal={Physical Review Research},volume={5},number={3},pages={033021},year={2023},publisher={APS},}
@article{roget2022quantum,title={Quantum perceptron revisited: Computational-statistical tradeoffs},author={Roget, Mathieu and Di Molfetta, Giuseppe and Kadri, Hachem},booktitle={Uncertainty in Artificial Intelligence},pages={1697--1706},year={2022},organization={PMLR},}
2020
PRL
Grover search as a naturally occurring phenomenon
Mathieu Roget, Stéphane Guillet, Pablo Arrighi, and 1 more author
@article{roget2020grover,title={Grover search as a naturally occurring phenomenon},author={Roget, Mathieu and Guillet, St{\'e}phane and Arrighi, Pablo and Di Molfetta, Giuseppe},journal={Physical Review Letters},volume={124},number={18},pages={180501},year={2020},publisher={APS},}
Scientific reports
Quantum control using quantum memory
Mathieu Roget, Basile Herzog, and Giuseppe Di Molfetta
@article{roget2020quantum,title={Quantum control using quantum memory},author={Roget, Mathieu and Herzog, Basile and Di Molfetta, Giuseppe},journal={Scientific reports},volume={10},number={1},pages={1--8},year={2020},publisher={Nature Publishing Group},}