擦除量子比特构成了应对容错量子计算所需巨大资源的一种有前途的方法。通过 heralding 擦除错误，不仅可以显著提高错误校正阈值，还能改善子阈值的逻辑错误率的缩放性。尽管以往研究主要集中在容错量子记忆上，我们将其扩展到魔法态注入——容错量子计算中的关键但资源密集的组成部分。我们证明，在postselecting on erasures之后，注入的魔法态的逻辑错误率由残余的Pauli错误决定，而空间-时间开销与非擦除量子比特相比仅略微增加，前提是具有相似的噪声强度。这些结论既适用于表面码中的注入，也适用于颜色码中的注入和培养。对于前者，我们证明通过在表面码补丁中使用三个战略放置的擦除量子比特，可以实现大部分收益，而与补丁大小无关。对于后者，相反，将培养补丁中的所有量子比特都作为擦除量子比特是有利的。我们的培养结果表明，对于擦除率约为4×10⁻³和残余Pauli错误率约为10⁻⁴的情况，算法相关的逻辑错误率可能无需魔法态蒸馏即可达到。
英文摘要：
Erasure qubits constitute a promising approach for tackling the daunting resources required for fault-tolerant quantum computing. By heralding erasure errors, both the error-correction threshold and the sub-threshold scaling of the logical error rate are significantly improved. While previous research has focused primarily on fault-tolerant quantum memories, we extend this investigation to magic state injection--a critical yet resource-intensive component of fault-tolerant quantum computation. We show that, after postselecting on erasures, the logical error rate of the injected magic state is set by the residual Pauli error, while the space-time overhead is only marginally increased as compared to non-erasure qubits with a similar noise strength. These conclusions hold both for injection into the surface code, and for injection and cultivation on the color code. For the former, we show that most of the gains can be achieved by using just three strategically placed erasure qubits in the surface code patch, independent of the patch size. For the latter, in contrast, it is beneficial to have all the qubits in the cultivation patch be erasure qubits. Our results for cultivation suggest that algorithmically relevant logical error rates may be within reach without magic state distillation for erasure rates $\lesssim 4\times 10^{-3}$ and residual Pauli error rates $\sim 10^{-4}$.
Quantum Trajectories: Ergodicity, Perturbative Dynamics, and Stationary Response
The Hong Kong University of Science and Technology (Guangzhou)（香港科技大学（广州））；QudeLeap Research（酷跃研究）；Quantum Science Center of Guangdong-Hong Kong-Macao Greater Bay Area（粤港澳大湾区量子科学中心）
School of Physics, Peking University（北京大学物理学院）；Department of Physics, Virginia Tech（弗吉尼亚理工大学物理系）；Center for High Energy Physics, Peking University（北京大学高能物理中心）
Invested and Potential Magic Resources in Measurement-Based Quantum Computation
University of Science and Technology of China（中国科学技术大学）；Anhui Province Key Laboratory of Quantum Network（安徽省量子通信与量子计算重点实验室）；CAS Center For Excellence in Quantum Information and Quantum Physics（中国科学院量子信息与量子物理前沿卓越创新中心）；Hefei National Laboratory（合肥国家实验室）；Fudan University（复旦大学）；Key Laboratory for Information Science of Electromagnetic Waves (Ministry of Education)（电磁波信息科学教育部重点实验室）
Experimental demonstration of non-local magic in a superconducting quantum processor
Università degli Studi di Napoli “Federico II”（那不勒斯费德里科二世大学）；Scuola Superiore Meridionale（南方高等学院）；Istituto Nazionale di Fisica Nucleare (INFN)（意大利国家核物理研究所）
Magic-Free Certification of Logical Error Rates in Universal Fault-Tolerant Circuits
Institute for Quantum Physics, University of Hamburg（汉堡大学量子物理研究所）；Max Planck Institute for the Structure and Dynamics of Matter（马普物质结构与动力学研究所）；The Hamburg Centre for Ultrafast Imaging, University of Hamburg（汉堡大学超快成像中心）；Clarendon Laboratory, University of Oxford（牛津大学克拉伦登实验室）
Transversal architecture for megaquop-scale quantum simulation with neutral atoms
QuEra Computing Inc.（QuEra 计算公司）；University of Kentucky（肯塔基大学）；Los Alamos National Laboratory（洛斯阿拉莫斯国家实验室）；Iowa State University（爱荷华州立大学）；Washington University in St. Louis（圣路易斯华盛顿大学）
Modular fault-tolerant quantum computing on a non-CSS code
Universität Innsbruck（因斯布鲁克大学）；Forschungszentrum Jülich（于利希研究中心）；RWTH Aachen University（亚琛工业大学）；Universidad Autonoma de Madrid（马德里自治大学）；Alpine Quantum Technologies GmbH（阿尔卑斯量子技术公司）
Fast and Parallel High-Rate STAR Architecture for Megaquop Quantum Simulation
QuEra Computing Inc.（QuEra计算公司）；Harvard University（哈佛大学）；Center for Theoretical Physics - a Leinweber Institute, Massachusetts Institute of Technology（麻省理工学院莱恩韦伯理论物理中心）；Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology（麻省理工学院电气与计算机工程系）
Impacts of Decoder Latency on a Utility-Scale Quantum Computer Architecture
QB Information Technologies (1QBit)（1QB信息技术公司）；Department of Physics & Astronomy, University of Waterloo（滑铁卢大学物理与天文系）；Perimeter Institute for Theoretical Physics（理论物理前沿研究所）；Quantum Machines（量子机器公司）；HPE Quantum, Hewlett Packard Labs（惠普实验室HPE量子部门）；Emergent Machine Intelligence, Hewlett Packard Labs（惠普实验室涌现人工智能部门）
