https://doi.org/10.1140/epjd/s10053-023-00795-2
Regular Article - Quantum Information
Cycle discrete-time quantum walks on a noisy quantum computer
1
Department of Physics, Durham University, DH1 3LE, Durham, United Kingdom
2
Department of Physics, University of Strathclyde, G4 0NG, Glasgow, United Kingdom
3
School of Computing, Newcastle University, NE4 5TG, Newcastle, United Kingdom
b
Nick.Chancellor@newcastle.ac.uk
Received:
14
August
2023
Accepted:
23
December
2023
Published online:
25
March
2024
The rapid development of quantum computing has led to increasing interest in quantum algorithms for a variety of different applications. Quantum walks have also experienced a surge in interest due to their potential use in quantum algorithms. Using the qiskit software package, we test how accurately the current generation of quantum computers provided by IBM can simulate a cycle discrete-time quantum walk. Implementing an 8-node, 8-step walk and a simpler 4-node, 4-step discrete-time quantum walk on an IBM quantum device known as ibmq_quito, the results for each step of the respective walks are presented. A custom noise model is developed in order to estimate that noise levels in the ibmq_santiago quantum device would need to be reduced by at least 94% in order to execute a 16-node, 16-step cycle discrete-time quantum walk to a reasonable level of fidelity.
© The Author(s) 2024
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