Title | Quantum walks and Dirac cellular automata on a programmable trapped-ion quantum computer |
Publication Type | Journal Article |
Year of Publication | 2020 |
Authors | H. C. Alderete, S. Singh, N. H. Nguyen, D. Zhu, R. Balu, C. Monroe, C.. M. Chandrashekar, and N. M. Linke |
Journal | Nat. Commun. |
Volume | 11 |
Pagination | 3720 |
Date Published | JUL 24 |
Type of Article | Article |
ISSN | 2041-1723 |
Abstract | The quantum walk formalism is a widely used and highly successful framework for modeling quantum systems, such as simulations of the Dirac equation, different dynamics in both the low and high energy regime, and for developing a wide range of quantum algorithms. Here we present the circuit-based implementation of a discrete-time quantum walk in position space on a five-qubit trapped-ion quantum processor. We encode the space of walker positions in particular multi-qubit states and program the system to operate with different quantum walk parameters, experimentally realizing a Dirac cellular automaton with tunable mass parameter. The quantum walk circuits and position state mapping scale favorably to a larger model and physical systems, allowing the implementation of any algorithm based on discrete-time quantum walks algorithm and the dynamics associated with the discretized version of the Dirac equation. |
DOI | 10.1038/s41467-020-17519-4 |