Cycle discrete-time quantum walks on a noisy quantum computer

Vivek Wadhia, Nicholas Chancellor*, Viv Kendon

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)
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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. Graphic abstract:
Original languageEnglish
Article number29
Number of pages10
JournalEuropean Physical Journal D: Atomic, Molecular, Optical and Plasma Physics
Issue number3
Publication statusPublished - 25 Mar 2024


  • quantum computing
  • quantum algorithms
  • noise model


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