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Quantum Circuits for the Realization of Equivalent Forms of One-dimensional Discrete-time Quantum Walks on Near-term Quantum Hardware by Singh, Shivani; Alderete, Cinthia H.; Balu, Radhakrishnan; Monroe, Christopher; Linke, Norbert M.; Chandrashekar, C. M. is a scholarly article available to read on EtoBox.

What is Quantum Circuits for the Realization of Equivalent Forms of One-dimensional Discrete-time Quantum Walks on Near-term Quantum Hardware about?

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.

Author

Singh, Shivani; Alderete, Cinthia H.; Balu, Radhakrishnan; Monroe, Christopher; Linke, Norbert M.; Chandrashekar, C. M.

Published

2020

Language

EN