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arXiv · 2408.12968

Single-qubit rotations on a binomial code without ancillary qubits

Yuki Tanaka·Yuichiro Mori·Yuta Shingu·Aiko Yamaguchi·Tsuyoshi Yamamoto·Yuichiro Matsuzaki
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Abstract

Great attention has been paid to binomial codes utilizing bosonic systems as logical qubits with error correction capabilities. However, implementing single-qubit rotation operations on binomial codes has proven challenging, requiring an ancillary qubit in previous approaches. Here, we propose a method for performing logical qubit rotation on binomial codes without requiring an ancillary qubit. Specifically, we explain how to implement $X$-axis rotations by simultaneously applying two-frequency parametric drives to resonators with nonlinearity. Furthermore, we show that $Z$-axis rotations could be realized with the detuning. Due to the reduction of the need for the ancillary qubit for the logical qubit rotation, our proposed approach is advantageous for quantum computation in the NISQ era, where the number of qubits is limited.

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Yuki Tanaka, Yuichiro Mori, Yuta Shingu, Aiko Yamaguchi, Tsuyoshi Yamamoto, Yuichiro Matsuzaki. 2024-08-23. Single-qubit rotations on a binomial code without ancillary qubits. https://arxiv.org/abs/2408.12968

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