High-Fidelity Controlled-Phase Gate for Binomial Codes via Geometric Phase Engineering

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Hauptverfasser: Xu, Yifang, Zhou, Yilong, Sun, Lida, Huang, Hongwei, Chen, Zi-Jie, Xiao, Lintao, Zhang, Bo, Ma, Chuanlong, Hua, Ziyue, Wang, Weiting, Xue, Guangming, Yu, Haifeng, Cai, Weizhou, Zou, Chang-Ling, Sun, Luyan
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Veröffentlicht: 2025
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author Xu, Yifang
Zhou, Yilong
Sun, Lida
Huang, Hongwei
Chen, Zi-Jie
Xiao, Lintao
Zhang, Bo
Ma, Chuanlong
Hua, Ziyue
Wang, Weiting
Xue, Guangming
Yu, Haifeng
Cai, Weizhou
Zou, Chang-Ling
Sun, Luyan
author_facet Xu, Yifang
Zhou, Yilong
Sun, Lida
Huang, Hongwei
Chen, Zi-Jie
Xiao, Lintao
Zhang, Bo
Ma, Chuanlong
Hua, Ziyue
Wang, Weiting
Xue, Guangming
Yu, Haifeng
Cai, Weizhou
Zou, Chang-Ling
Sun, Luyan
contents High-fidelity two-logical-qubit gates are essential for realizing fault-tolerant quantum computation with bosonic codes, yet experimentally reported fidelities have rarely exceeded 90\%. Here, we propose a geometric phase engineering approach for implementing controlled-phase gates for binomially encoded logical qubits. This method leverages the structural simplicity of geometric drives to reduce the numerical optimization dimensionality while fully incorporating system nonlinearities, enabling fast and high-fidelity logical operations. As an example, we experimentally demonstrate a process fidelity of 97.4$\pm$0.8\% for a controlled-Z gate between two binomial codes, surpassing all previously reported two-logical-qubit gates in bosonic codes. This work demonstrates that geometric phase engineering provides an effective and experimentally feasible route to fast, high-fidelity logical operations in bosonic quantum processors.
format Preprint
id arxiv_https___arxiv_org_abs_2511_06354
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle High-Fidelity Controlled-Phase Gate for Binomial Codes via Geometric Phase Engineering
Xu, Yifang
Zhou, Yilong
Sun, Lida
Huang, Hongwei
Chen, Zi-Jie
Xiao, Lintao
Zhang, Bo
Ma, Chuanlong
Hua, Ziyue
Wang, Weiting
Xue, Guangming
Yu, Haifeng
Cai, Weizhou
Zou, Chang-Ling
Sun, Luyan
Quantum Physics
High-fidelity two-logical-qubit gates are essential for realizing fault-tolerant quantum computation with bosonic codes, yet experimentally reported fidelities have rarely exceeded 90\%. Here, we propose a geometric phase engineering approach for implementing controlled-phase gates for binomially encoded logical qubits. This method leverages the structural simplicity of geometric drives to reduce the numerical optimization dimensionality while fully incorporating system nonlinearities, enabling fast and high-fidelity logical operations. As an example, we experimentally demonstrate a process fidelity of 97.4$\pm$0.8\% for a controlled-Z gate between two binomial codes, surpassing all previously reported two-logical-qubit gates in bosonic codes. This work demonstrates that geometric phase engineering provides an effective and experimentally feasible route to fast, high-fidelity logical operations in bosonic quantum processors.
title High-Fidelity Controlled-Phase Gate for Binomial Codes via Geometric Phase Engineering
topic Quantum Physics
url https://arxiv.org/abs/2511.06354