Universal logical operations with a dynamical qubit in Floquet code

• URL: http://arxiv.org/abs/2503.03867v1
• Date: Wed, 05 Mar 2025 19:55:10 GMT
• Title: Universal logical operations with a dynamical qubit in Floquet code
• Authors: Xuandong Sun, Longcheng Li, Zhiyi Wu, Zechen Guo, Peisheng Huang, Wenhui Huang, Qixian Li, Yongqi Liang, Yiting Liu, Daxiong Sun, Zilin Wang, Changrong Xie, Yuzhe Xiong, Xiaohan Yang, Jiajian Zhang, Jiawei Zhang, Libo Zhang, Zihao Zhang, Weijie Guo, Ji Jiang, Song Liu, Xiayu Linpeng, Jingjing Niu, Jiawei Qiu, Wenhui Ren, Ziyu Tao, Yuefeng Yuan, Yuxuan Zhou, Ji Chu, Youpeng Zhong, Xiaoming Sun, Dapeng Yu,
• Abstract summary: We experimentally implement the Floquet-Bacon-Shor code on a superconducting quantum processor.<n>We encode a dynamical logical qubit within a $3times 3$ lattice of data qubits, alongside a conventional static logical qubit.<n>Our results highlight the potential of Floquet codes for scalable and resource-efficient FT quantum computation.
• Score: 19.281236593958674
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum error correction (QEC) protects quantum systems against inevitable noises and control inaccuracies, providing a pathway towards fault-tolerant (FT) quantum computation. However, the significant overhead of physical qubits required to encode a single logical qubit poses a major challenge for scalability and practical implementation. Floquet QEC codes, a recent innovation, mitigate this challenge by utilizing time-periodic measurements to introduce additional dynamical logical qubits, thereby enhancing resource efficiency in QEC. Here, we experimentally implement the Floquet-Bacon-Shor code on a superconducting quantum processor. We encode a dynamical logical qubit within a $3\times 3$ lattice of data qubits, alongside a conventional static logical qubit. We demonstrate FT encoding and measurement of the two-qubit logical states and stabilize the states using repeated error detection cycles. Additionally, we showcase universal single-qubit logical gates on the dynamical qubit. By implementing a logical CNOT gate, we entangle the dynamical and static logical qubits, generating an error-detected logical Bell state with a fidelity of 75.9\%. Our results highlight the potential of Floquet codes for scalable and resource-efficient FT quantum computation.

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