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This study demonstrates the experimental realization of lattice-surgery operations on a planar superconducting processor, achieving a logical gate fidelity of 0.943 for non-Clifford rotations. By successfully executing fault-tolerant logical operations and algorithms like Deutsch-Jozsa, the work validates lattice surgery as a viable paradigm for scalable quantum computation in near-term architectures. These results represent a critical step toward practical fault-tolerant quantum advantage using superconducting circuits.
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A superconducting surface-code processor with lattice-surgery logical operations

arXiv2 min read

arXiv:2606.06598v1 Announce Type: new Abstract: Fault-tolerant logical operations are fundamental for scalable quantum computation. Here, we report the experimental realization of lattice-surgery operations between a pair of distance-three surface-code logical qubits on a planar superconducting processor. During repeated syndrome extraction cycles, the logical qubits exhibit per-cycle error rates of $0.0365(2)$ and $0.0282(1)$, respectively, after leakage events are rejected. By leveraging joint initialization and lattice splitting, we deterministically prepare a logical Bell state, confirming genuine bipartite entanglement via the error-corrected logical state fidelity. We further execute a two-qubit Deutsch-Jozsa algorithm at the logical level to demonstrate algorithmic utility in a fault-tolerant framework. Finally, to achieve universal control, we implement magic-state injection and gate teleportation to realize continuous non-Clifford rotations about the logical $X$ axis. For the logical $R_{X}(\pi/4)$ gate, we achieve a logical gate fidelity of $0.943_{-9}^{+10}$ conditioned on the absence of detected errors. These results establish lattice surgery as a practical and versatile paradigm for logical computation in near-term surface-code architectures, representing a critical milestone toward scalable fault-tolerant quantum advantage in superconducting circuits.

Authors:Yanzhe Wang, Fanhao Shen, Haipeng Xie, Aosai Zhang, Yu Gao, Chuanyu Zhang, Xuhao Zhu, Feitong Jin, Yiren Zou, Ning Wang, Zhengyi Cui, Zehang Bao, Zitian Zhu, Jiarun Zhong, Gongyu Liu, Jia-Nan Yang, Yihang Han, Yiyang He, Jiayuan Shen, Han Wang, Jiahua Huang, Xinrong Zhang, Sailang Zhou, Hang Dong, Jinfeng Deng, Yaozu Wu, Zixuan Song, Hekang Li, Zhen Wang, Chao Song, Qiujiang Guo, Pengfei Zhang, H. Wang, Ying Li

Abstract:Fault-tolerant logical operations are fundamental for scalable quantum computation. Here, we report the experimental realization of lattice-surgery operations between a pair of distance-three surface-code logical qubits on a planar superconducting processor. During repeated syndrome extraction cycles, the logical qubits exhibit per-cycle error rates of $0.0365(2)$ and $0.0282(1)$, respectively, after leakage events are rejected. By leveraging joint initialization and lattice splitting, we deterministically prepare a logical Bell state, confirming genuine bipartite entanglement via the error-corrected logical state fidelity. We further execute a two-qubit Deutsch-Jozsa algorithm at the logical level to demonstrate algorithmic utility in a fault-tolerant framework. Finally, to achieve universal control, we implement magic-state injection and gate teleportation to realize continuous non-Clifford rotations about the logical $X$ axis. For the logical $R_{X}(\pi/4)$ gate, we achieve a logical gate fidelity of $0.943_{-9}^{+10}$ conditioned on the absence of detected errors. These results establish lattice surgery as a practical and versatile paradigm for logical computation in near-term surface-code architectures, representing a critical milestone toward scalable fault-tolerant quantum advantage in superconducting circuits.

arXiv:2606.06598 [quant-ph]

(or arXiv:2606.06598v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2606.06598 arXiv-issued DOI via DataCite (pending registration)

Full text under the publisher's open licence · 251 words