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arXiv · 2412.04791

Fault-Tolerant Implementation of the Deutsch-Jozsa Algorithm

Divyanshu Singh·Shiroman Prakash
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Abstract

We show that one can implement the Deutsch-Josza algorithm, one of the first and simplest quantum algorithms, in a fault-tolerant manner using the smallest quantum error-detecting code -- the $[[4,2,2]]$ code -- without any ancillae. We implemented the algorithm on a trapped-ion quantum computer with and without fault-tolerant encoding and compared the results. With approximately $99 \%$ confidence, we found that the fault-tolerant implementation provided a noise reduction for all oracles. Averaged across all oracles, the reduction in error rate was nearly $90 \%$.

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Divyanshu Singh, Shiroman Prakash. 2024-12-06. Fault-Tolerant Implementation of the Deutsch-Jozsa Algorithm. https://arxiv.org/abs/2412.04791

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