Quantum walks and Dirac cellular automata on a programmable trapped-ion quantum computer

• URL: http://arxiv.org/abs/2002.02537v1
• Date: Thu, 6 Feb 2020 22:24:56 GMT
• Title: Quantum walks and Dirac cellular automata on a programmable trapped-ion quantum computer
• Authors: C. Huerta Alderete, Shivani Singh, Nhung H. Nguyen, Daiwei Zhu, Radhakrishnan Balu, Christopher Monroe, C. M. Chandrashekar, and Norbert M. Linke
• Abstract summary: 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.
• Score: 1.2324860823895265
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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