



@article {2917,
	title = {Quantum circuits for the realization of equivalent forms of one-dimensional discrete-time quantum walks on near-term quantum hardware},
	journal = {Physical Review A},
	volume = {104},
	year = {2021},
	month = {12/8/2021},
	abstract = {<p>Quantum walks are a promising framework for developing quantum algorithms and quantum simulations. They represent an important test case for the application of quantum computers. Here we present different forms of discrete-time quantum walks (DTQWs) and show their equivalence for physical realizations. Using an appropriate digital mapping of the position space on which a walker evolves to the multiqubit states of a quantum processor, we present different configurations of quantum circuits for the implementation of DTQWs in one-dimensional position space. We provide example circuits for a five-qubit processor and address scalability to higher dimensions as well as larger quantum processors.</p>},
	issn = {2469-9934},
	doi = {https://doi.org/10.1103/PhysRevA.104.062401},
	url = {https://arxiv.org/abs/2001.11197},
	author = {Singh, Shivani and Alderete, C. Huerta and Balu, Radhakrishnan and Monroe, Christopher and Linke, Norbert M. and Chandrashekar, C. M.}
}
