@article {2578, title = {Universal one-dimensional discrete-time quantum walks and their implementation on near term quantum hardware}, year = {2020}, month = {1/30/2020}, abstract = {

Quantum walks are a promising framework for developing quantum algorithms and quantum simulations. Quantum walks represent an important test case for the application of quantum computers. Here we present different forms of discrete-time quantum walks and show their equivalence for physical realizations. Using an appropriate digital mapping of the position space on which a walker evolves onto the multi-qubit states in a quantum processor, we present different configurations of quantum circuits for the implementation of discrete-time quantum walks in one-dimensional position space. With example circuits for a five qubit machine we address scalability to higher dimensions and larger quantum processors.

}, url = {https://arxiv.org/abs/2001.11197}, author = {Shivani Singh and Cinthia H. Alderete and Radhakrishnan Balu and Christopher Monroe and Norbert M. Linke and C. M. Chandrashekar} }