|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|
|Date Published||JUL 24|
|Type of Article||Article|
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.