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arXiv · 2310.03264

Bias-preserving computation with the bit-flip code

Shoichiro Tsutsui·Keita Kanno
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Abstract

We explore the feasibility of fault-tolerant quantum computation using the bit-flip repetition code in a biased noise channel where only the bit-flip error can occur. While several logic gates can potentially produce phase-flip errors even in such a channel, we propose bias-preserving implementation of $S$, $H$, $\mathrm{CZ}$, and $R_z$ gates. We demonstrate that our scheme improves the computational precision in several tasks such as the time evolution of quantum systems and variational quantum eigensolver.

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Shoichiro Tsutsui, Keita Kanno. 2023-10-05. Bias-preserving computation with the bit-flip code. https://doi.org/10.1103/physrevresearch.6.023290

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