Bias-tailored quantum error correcting codes (QECCs) offer a higher error threshold than standard QECCs and have the potential to achieve lower logical errors with less space overhead. The spin-cat qubit, encoded in a large nuclear spin-$F$ system, is a promising candidate for bias-tailored QECCs. Yet its feasibility is hindered by the difficulty of performing fast covariant SU(2) rotation with arbitrary rotation angles for nuclear spins and by a lack of noise characterization for gate operations in neutral atom platforms. Here we demonstrate single-qubit controls of ${}^{173}\mathrm{Yb}$ spin-cat qubits with nuclear spin $I=5/2$ in an optical tweezer array. We implement a covariant SU(2) rotation and non-linear rotations by optical beams and achieve an averaged single-Clifford gate fidelity of $0.961_{-5}^{+5}$. The measurement of the coherence time and spin relaxation time shows that the idling error becomes increasingly biased toward dephasing errors as the magnitude of the encoded sublevel $|m_F|$ increases. Furthermore, we benchmark the noise bias of rank-preserving gates on spin-cat qubits, demonstrating a finite bias of $18_{-11}^{+132}$, in contrast to the case of the two-level system in ${}^{171}\mathrm{Yb}$, which shows no bias within the experimental uncertainty. Our work demonstrates the feasibility of spin-cat qubits for realizing bias-tailored QECCs, paving the way for achieving hardware-efficient quantum error correction.
Motional Kerr-Cat States of an Atom in an Optical Tweezer
JILA, NIST and University of Colorado（JILA、美国国家标准与技术研究院和科罗拉多大学）；Department of Physics, University of Colorado（科罗拉多大学物理系）；Center for Theory of Quantum Matter, University of Colorado（科罗拉多大学量子物质理论中心）；Joint Center for Quantum Information and Computer Science, NIST and University of Maryland（量子信息与计算机科学联合中心、美国国家标准与技术研究院和马里兰大学）；Joint Quantum Institute, NIST and University of Maryland（量子研究所、美国国家标准与技术研究院和马里兰大学）；Institut Quantique, Université de Sherbrooke（舍布鲁克大学量子研究所）
State-dependent Gaussian gate set using an optical tweezer for trapped ions
ETH Zürich（苏黎世联邦理工学院）；Paul Scherrer Institut (PSI)（保罗谢尔研究所）；Institute for Quantum Electronics, ETH Zürich（苏黎世联邦理工学院量子电子学研究所）；Department of Physics, University of Trieste（的里雅斯特大学物理系）；Quantum Center, ETH Zurich（苏黎世联邦理工学院量子中心）
Fault-tolerant quantum computing with the parity code and noise-biased qubits
Parity Quantum Computing GmbH（Parity量子计算有限公司）；Parity Quantum Computing Germany GmbH（Parity量子计算德国有限公司）；Institute for Theoretical Physics, University of Innsbruck（因斯布鲁克大学理论物理研究所）
Engineering multi-photon dissipation with a dc-voltage-biased Josephson junction
École Normale Supérieure de Lyon（里昂高等师范学院）；CNRS（法国国家科学研究中心）；Laboratoire de Physique（物理实验室）；Alice & Bob；Mines Paris（巴黎矿业学院）；Inria（法国国家信息与自动化研究所）；ENS-PSL（巴黎高等师范学院-PSL大学）；Centre Automatique et Systèmes (CAS)（自动系统与中心）；Sorbonne Université（索邦大学）；PSL Research University（PSL研究大学）
High-speed $R_{ZZ}$ gates in Kerr-cat qubits via fast-forward scaling
National Institute of Advanced Industrial Science and Technology (AIST)（产业技术综合研究所）；Global Research and Development Center for Business by Quantum-AI Technology (G-QuAT)（量子AI技术商业全球研发中心）；NEC-AIST Quantum Technology Cooperative Research Laboratory（NEC-AIST量子技术联合研究实验室）
Biased-noise qubits: a guide to efficient fault-tolerance using the hierarchy of errors
Alice & Bob；Laboratoire de Physique de l’École Normale Supérieure, École Normale Supérieure, Centre Automatique et Systèmes, Mines Paris, Université PSL, CNRS, Inria, Paris, France（巴黎高等师范学院物理实验室，巴黎高等师范学院，自动与系统中心，巴黎矿业学院，PSL大学，法国国家科学研究中心，法国国家信息与自动化研究所）
Dynamical Decoupling of Nonclassical States in a Biased-Noise Spin Qudit
School of Electrical Engineering and Telecommunications, UNSW Sydney（新南威尔士大学电气与电信工程学院）；HPE Quantum, Emergent Machine Intelligence, Hewlett Packard Labs（惠普实验室）；Quantum Artificial Intelligence Laboratory (QuAIL), NASA Ames Research Center（NASA艾姆斯研究中心量子人工智能实验室）；KBR, Inc.（KBR公司）；ARC Centre of Excellence for Quantum Computer Performance & Integration (QPI)（量子计算机性能与集成卓越中心）；School of Engineering, RMIT University（皇家墨尔本理工大学工程学院）；USRA Research Institute for Advanced Computer Science（美国大学空间研究协会高级计算机科学研究所）
Quantum non-demolition measurements as a practical primitive for fault-tolerant computation against biased noise
Alice & Bob（爱丽丝与鲍勃公司）；Laboratoire de Physique de l’École Normale Supérieure, École Normale Supérieure, Centre Automatique et Systèmes, Mines Paris, Université PSL, CNRS, Inria（巴黎高等师范学院物理实验室，巴黎高等师范学院，自动系统与矿业学院，巴黎高等矿业学院，PSL大学，法国国家科学研究中心，法国国家信息与自动化研究所）
Optimally robust shortcuts to population inversion in cat-state qubits
Department of Physics, Fuzhou University（福州大学物理系）；Theoretical Quantum Physics Laboratory, Cluster for Pioneering Research, RIKEN（理化学研究所先导研究集群理论量子物理实验室）；Institute of Quantum Science and Technology, Yanbian University（延边大学量子科学与技术研究院）
