references.bib

@book{motwani1995randomized,
  title={Randomized algorithms},
  author={Motwani, Rajeev and Raghavan, Prabhakar},
  year={1995},
  publisher={Cambridge university press}
}

@article{busemeyer2020comparison,
  title={Comparison of Markov versus quantum dynamical models of human decision making},
  author={Busemeyer, Jerome R and Kvam, Peter D and Pleskac, Timothy J},
  journal={Wiley Interdisciplinary Reviews: Cognitive Science},
  volume={11},
  number={4},
  pages={e1526},
  year={2020},
  publisher={Wiley Online Library}
}

@article{kendon2020compute,
  title={How to compute using quantum walks},
  author={Kendon, Viv},
  journal={arXiv preprint arXiv:2004.01329},
  year={2020}
}

@inproceedings{santha2008quantum,
  title={Quantum walk based search algorithms},
  author={Santha, Miklos},
  booktitle={International Conference on Theory and Applications of Models of Computation},
  pages={31--46},
  year={2008},
  organization={Springer}
}

@article{orrell2021quantum,
  title={A quantum walk model of financial options},
  author={Orrell, David},
  journal={Wilmott},
  volume={2021},
  number={112},
  pages={62--69},
  year={2021},
  publisher={Wiley Online Library}
}

@article{di2016quantum,
  title={Quantum walks as simulators of neutrino oscillations in a vacuum and matter},
  author={Di Molfetta, Giuseppe and P{\'e}rez, Armando},
  journal={New Journal of Physics},
  volume={18},
  number={10},
  pages={103038},
  year={2016},
  publisher={IOP Publishing}
}

@article{aspuru2012photonic,
  title={Photonic quantum simulators},
  author={Aspuru-Guzik, Al{\'a}n and Walther, Philip},
  journal={Nature physics},
  volume={8},
  number={4},
  pages={285--291},
  year={2012},
  publisher={Nature Publishing Group}
}

@article{kassal2011simulating,
  title={Simulating chemistry using quantum computers},
  author={Kassal, Ivan and Whitfield, James D and Perdomo-Ortiz, Alejandro and Yung, Man-Hong and Aspuru-Guzik, Al{\'a}n},
  journal={Annual review of physical chemistry},
  volume={62},
  pages={185--207},
  year={2011},
  publisher={Annual Reviews}
}

@article{casares2022qfold,
  title={QFold: quantum walks and deep learning to solve protein folding},
  author={Casares, Pablo Antonio Moreno and Campos, Roberto and Martin-Delgado, Miguel Angel},
  journal={Quantum Science and Technology},
  volume={7},
  number={2},
  pages={025013},
  year={2022},
  publisher={IOP Publishing}
}

@article{ambainis2003quantum,
  title={Quantum walks and their algorithmic applications},
  author={Ambainis, Andris},
  journal={International Journal of Quantum Information},
  volume={1},
  number={04},
  pages={507--518},
  year={2003},
  publisher={World Scientific}
}

@article{Knight2003QuantumWO,
  title={Quantum walk on the line as an interference phenomenon},
  author={P. L. Knight and Eugenio Rold{\'a}n and John E. Sipe},
  journal={Physical Review A},
  year={2003},
  volume={68},
  pages={020301}
}

@book{AuantumEconomicsAndFinance2021,
  url={https://www.youtube.com/watch?v=mRIjRbIQyE4&t=291s},
  journal={QEF05 - The Quantum Walk},
  publisher={Youtube},
  author={Quantum Economics and Finance},
  year={2021},
  month={Mar}
  note = {[Accessed 03-Dec-2022]},
}

@article{morvan2021qutrit,
  title={Qutrit randomized benchmarking},
  author={Morvan, Alexis and Ramasesh, VV and Blok, MS and Kreikebaum, JM and O’Brien, K and Chen, L and Mitchell, BK and Naik, RK and Santiago, DI and Siddiqi, I},
  journal={Physical review letters},
  volume={126},
  number={21},
  pages={210504},
  year={2021},
  publisher={APS}
}

@article{kempe2003quantum,
  title={Quantum random walks: an introductory overview},
  author={Kempe, Julia},
  journal={Contemporary Physics},
  volume={44},
  number={4},
  pages={307--327},
  year={2003},
  publisher={Taylor \& Francis}
}

@misc{quantumaiQuantumWalk,
  author = {Google},
  title = {Quantum walk},
  publisher = {Google}
  url = {https://quantumai.google/cirq/experiments/quantum_walks},
  year = {2022-Jun-22},
  note = {[Accessed 03-Dec-2022]},
}


@misc{QuantumDemoDauliac2022,
  author = {Dauliac},
  title = {Quantum walk UE Bordeaux},
  publisher = {Google Colab}
  url = {https://github.com/Dauliac/Quantum-random-walks},
  year = {03-Dec-2022},
  note = {[Accessed 03-Dec-2022]},
}