This research addresses the fundamental challenge of determining ground-state properties of many-body quantum systems by formulating it as a noncommutative polynomial optimization problem. The approach uses a hierarchy of semidefinite programming relaxations, offering advantages over traditional variational methods by providing rigorous bounds and scalability for certifying ground-state properties in quantum spin systems.

本研究通过将多体量子系统的基态性质确定问题表述为非交换多项式优化问题，解决了这一基本挑战。该方法使用半定规划松弛的层次结构，通过提供严格界限和可扩展性来认证量子自旋系统的基态性质，相比传统变分方法具有优势。

This paper demonstrates nontrivial transversal logical multi-controlled-Z gates on quantum LDPC codes and quantum locally testable codes with nearly optimal parameters. The algebraic-topological proofs show these non-Clifford gates naturally emerge as topological phenomena, combining fault tolerance with advanced logical operations for the first time.

本文展示了在具有近乎最优参数的量子LDPC码和量子局部可测试码上实现非平凡横向逻辑多控制Z门。代数拓扑证明表明这些非克利福德门作为拓扑现象自然出现，首次将容错性与高级逻辑操作相结合。

This work demonstrates a rack-based, mobile quantum light source architecture using semiconductor quantum dot emitters to address deployment challenges in quantum communication. The modular system generates polarization-entangled photon pairs with automated operation, overcoming limitations of laboratory-based sources through improved stability and industry compatibility for practical quantum networking applications.

这项工作展示了一种基于机架的移动量子光源架构，使用半导体量子点发射器解决量子通信中的部署挑战。该模块化系统生成偏振纠缠光子对并实现自动化操作，通过提高稳定性和工业兼容性克服了实验室光源的限制，适用于实际量子网络应用。

This paper develops a distributed variational quantum algorithm for solving large-scale linear equations using multiple NISQ computers. The system partitions large matrices into blocks distributed across quantum computers that communicate via row- and column-neighbor graphs, enabling scalable linear system solutions.

本文开发了一种分布式变分量子算法，利用多个NISQ计算机求解大规模线性方程。该系统将大型矩阵划分为分布在量子计算机上的块，通过行和列邻居图进行通信，实现了可扩展的线性系统求解。

This paper introduces Single-shot Measurement Learning (SSML) as an adaptive estimator for quantum-enhanced sensing, demonstrating that the terminal run of consecutive successes provides an intrinsic certificate of local alignment. The approach shows that longer terminal runs certify smaller infidelity, with near-optimal performance yielding Fisher-calibrated certificates of parameter error, offering a novel self-certifying framework for quantum sensing applications.

本文介绍了单次测量学习（SSML）作为量子增强传感的自适应估计器，证明连续成功的终端运行提供了局部对齐的内在认证。该方法表明，更长的终端运行认证了更小的不保真度，在接近最优性能时产生参数误差的费希尔校准认证，为量子传感应用提供了一种新颖的自认证框架。

This experimental study demonstrates large-scale molecular simulation on IQM's 24-qubit superconducting processor using up to 16 operational qubits, employing Sample-based Quantum Diagonalization with Local Unitary Cluster Jastrow ansatz to estimate ground-state energies for benchmark molecules. The work introduces a Linear-CNOT variant of Unitary Coupled-Cluster Singles and Doubles ansatz for improved quantum-HPC hybrid simulations.

这项实验研究在IQM的24量子比特超导处理器上演示了大规模分子模拟，使用多达16个操作量子比特，采用基于样本的量子对角化与局域幺正簇Jastrow拟设来估计基准分子的基态能量。该工作引入了幺正耦合簇单双激发的线性CNOT变体，以改进量子-HPC混合模拟。

This research introduces a framework for identifying fault-tolerant logical operations in quantum codes by leveraging automorphism groups of classical codes. It establishes methods to construct all distinct implementable realizations of valid logical operations for given [[n,k,d]] codes, focusing on conjugacy classes and group transversals as key concepts.

本研究引入了一个框架，通过利用经典码的自同构群来识别量子码中的容错逻辑操作。它为给定的[[n,k,d]]码建立了构建所有不同可实现的逻辑操作的方法，重点关注共轭类和群横截作为关键概念。

This work addresses resource estimation challenges for fault-tolerant quantum computers, particularly neutral atom systems. It develops methods that capture interactions between hardware constraints and circuit compilation, moving beyond fixed architectural assumptions to enable more accurate evaluation of quantum computing resources.

这项工作解决了容错量子计算机（特别是中性原子系统）的资源估算挑战。它开发了捕捉硬件约束与电路编译相互作用的方法，超越了固定的架构假设，实现了更准确的量子计算资源评估。

This work presents a unified theory for classical shadows protocols based on sampling from general group representations. It extends previous approaches beyond simplified cases, providing a comprehensive framework for efficiently predicting properties of unknown quantum states using various measurement basis parametrizations.

这项工作提出了基于一般群表示采样的经典阴影协议的统一理论。它扩展了先前简化情况的方法，为使用各种测量基参数化高效预测未知量子态性质提供了全面框架。

This paper establishes DQC1-completeness for estimating the normalized trace of functions of log-local Hamiltonians acting on n qubits. The authors show that if a continuous function has sufficiently high approximate degree, then estimating its normalized trace to constant additive error is DQC1-complete, extending the understanding of computational complexity in the DQC1 model beyond previously limited function classes.

本文确立了作用于n个量子比特的对数局部哈密顿量函数归一化迹估计的DQC1完备性。作者证明如果连续函数具有足够高的近似度，那么以常数加性误差估计其归一化迹是DQC1完备的，将DQC1模型中计算复杂度的理解扩展到先前有限的函数类之外。

This paper proposes a privacy-aware hybrid framework for federated medical image classification that combines tensor-network representation learning, MPC-secured aggregation, and post-aggregation quantum refinement. The framework addresses practical constraints in privacy-aware federated learning by using client-side tensor-network frontends to reduce communication overhead while enabling quantum processing with limited qubits, creating a practical architecture for medical applications.

本文提出了一种用于联邦医学图像分类的隐私感知混合框架，结合了张量网络表示学习、MPC安全聚合和聚合后量子精炼。该框架通过使用客户端张量网络前端减少通信开销，同时在有限量子比特下实现量子处理，解决了隐私感知联邦学习中的实际约束，为医学应用创建了实用架构。

This work introduces a spectrum-driven, end-to-end differentiable physical framework for goal-driven spin-state engineering in Magnetic Resonance Spectroscopy. The framework transcends traditional human-intuition-based pulse sequence design by enabling optimization across the exponentially scaling operator space of complex spin superpositions, addressing spectral congestion and sensitivity limitations in MRS applications.

这项工作为磁共振波谱学中的目标驱动自旋态工程引入了一个谱驱动、端到端可微分的物理框架。该框架通过实现在复杂自旋叠加的指数级扩展算子空间中的优化，超越了传统的基于人类直觉的脉冲序列设计，解决了MRS应用中的谱拥挤和灵敏度限制问题。

This work presents a path validation protocol for large-scale QKD networks that addresses trust requirements for both repeater nodes and network operators. It enables verification of certified devices and disjoint transmission paths while hiding network topology, crucial for secure long-distance quantum communication deployments.

本文提出了一种大规模量子密钥分发网络的路径验证协议，解决了中继节点和网络运营商双方的信任需求。该协议能够在隐藏网络拓扑的同时验证认证设备和不相交传输路径，对于安全的长距离量子通信部署至关重要。

This paper explores hybrid classical-quantum methods for wireless routing optimization, focusing on QAOA and quantum walks to address high-dimensional constrained routing problems. It examines how wireless routing can be formulated as constrained optimization and evaluates quantum approaches for exploring complex routing spaces in communication networks.

本文探索了用于无线路由优化的混合经典-量子方法，重点关注QAOA和量子行走来解决高维约束路由问题。研究考察了如何将无线路由表述为约束优化问题，并评估了量子方法在通信网络中探索复杂路由空间的潜力。

This paper combines analytical shortcuts to adiabaticity with numerical optimization methods to enhance quantum control protocols for fast, excitation-free operations. As a proof-of-principle, it applies this hybrid approach to the challenging control problem of separating two atoms in an optical lattice while satisfying practical constraints.

本文将解析绝热捷径与数值优化方法相结合，以增强快速无激发的量子控制协议。作为原理验证，它将这种混合方法应用于光学晶格中分离两个原子的挑战性控制问题，同时满足实际约束条件。

This article presents a programmable recirculating bricks mesh architecture for quantum photonics, expanding applications of hexagonal waveguide meshes. The architecture enables flexible integration of functionalities on a single chip and supports unitary linear transformations crucial for photonic neural networks and quantum information processing.

本文提出了一种用于量子光子学的可编程循环砖块网状架构，扩展了六边形波导网格的应用。该架构支持在单个芯片上灵活集成多种功能，并实现光子神经网络和量子信息处理所需的关键酉线性变换。

This paper introduces a twisted fiber-bundle construction of quantum CSS codes over group algebras, extending untwisted lifted product codes. The authors demonstrate that invertible twists satisfying a flatness condition yield binary CSS codes with identical blocklength and encoded dimension as their untwisted counterparts, providing a new framework for quantum error correction code design.

本文介绍了群代数上量子CSS码的扭曲纤维丛构造，扩展了无扭曲提升积码。作者证明满足平坦条件的可逆扭曲会产生与无扭曲版本具有相同块长度和编码维度的二进制CSS码，为量子纠错码设计提供了新框架。

This study investigates the scale-free skin effect in one-dimensional non-Hermitian systems, where eigenstate localization lengths become proportional to system size under generalized boundary conditions. The research provides mechanistic insights into this phenomenon that differs from typical non-Hermitian skin effects where localization lengths remain size-independent, advancing understanding of boundary-localized states in quantum systems.

本研究研究了一维非厄米系统中的无标度趋肤效应，其中本征态局域化长度在广义边界条件下与系统尺寸成比例。该研究为这一现象提供了机制性见解，不同于典型的非厄米趋肤效应（局域化长度保持与尺寸无关），推进了对量子系统中边界局域态的理解。

This paper proposes a scheme for controllably distributing pairwise entanglement in quantum networks using environmental ancilla qubits and tunable Hamiltonians within collision models. It explores two scenarios: traditional reset-based collisions and non-reset interactions, providing a framework for entanglement distribution in multi-qubit systems.

本文提出了一种利用环境辅助量子比特和可调谐哈密顿量在碰撞模型中可控分配量子网络内成对纠缠的方案。探讨了两种场景：传统的重置式碰撞和非重置相互作用，为多量子比特系统中的纠缠分配提供了框架。

This paper introduces a loop-shaping approach to coherent feedback control by formulating system-environment coupling through noise power spectra, enabling direct manipulation of effective dissipation coefficients. A systematic design framework is developed for shaping transfer functions to achieve desired spectral responses, demonstrated through application to optomechanical sideband cooling with Stokes process suppression.

本文提出了一种相干反馈控制的环路整形方法，通过噪声功率谱公式化系统与环境耦合，实现对有效耗散系数的直接操控。开发了系统化设计框架来整形传递函数以实现所需频谱响应，并通过光机械边带冷却应用进行了演示，展示了斯托克斯过程的抑制。

Quantum Computing Inc. has entered a strategic deal with NuCrypt to enhance photonics capabilities for quantum communications applications. This partnership aims to advance quantum networking technologies through integrated photonic solutions. The collaboration represents a significant step in commercializing quantum communication infrastructure.

量子计算公司与NuCrypt达成战略合作，旨在增强量子通信应用的光子学能力。该合作伙伴关系通过集成光子解决方案推进量子网络技术发展。此次合作代表了量子通信基础设施商业化的重要一步。

This work presents a bootstrap framework to reconstruct hidden finite group symmetries in quantum many-body lattice Hamiltonians using known symmetry subgroups and spectral correlations. It introduces the cross spectral form factor (xSFF) computed via exact diagonalization to seed the bootstrap algorithm for systematic symmetry discovery.

这项工作提出了一个引导框架，利用已知对称子群和谱相关性来重建量子多体晶格哈密顿量中的隐藏有限群对称性。它引入了通过精确对角化计算的交叉谱形状因子（xSFF）来引导系统对称性发现的算法。

This research investigates the universality of quantum Fisher information singularities at topological band-touching defects in multiband systems. The work addresses the fundamental question of whether the controlling variable for these singularities is spatial dimensionality, band structure, or intrinsic geometric properties, focusing on how codimension - the number of momentum directions with linear gap closure - varies across universality classes in topological phase transitions.

本研究调查了多带系统中拓扑带接触缺陷处量子费希尔信息奇点的普适性。该工作解决了这些奇点的控制变量是空间维度、能带结构还是内在几何性质的基本问题，重点关注余维（线性能隙闭合的动量方向数量）在拓扑相变的不同普适类中如何变化。

This theoretical work demonstrates nonreciprocal phonon transport and photon-phonon conversion in coupled optomechanical cavities using phase-dependent driving. It shows that while phonon transport nonreciprocity requires both dissipation and phase-induced time reversal symmetry breaking, photon-phonon conversion exhibits different symmetry requirements.

这项理论研究展示了通过相位依赖驱动在耦合光机械腔中实现非互易声子传输和光子-声子转换。研究表明，虽然声子传输的非互易性需要耗散和相位诱导的时间反演对称性破缺，但光子-声子转换表现出不同的对称性要求。

This research constructs completely positive maps and GKSL generators for fermionic systems induced by linear transformations of system and environment modes. It derives explicit Heisenberg-picture formulas for normally ordered monomials and demonstrates that for even environment states, the linear span of monomials up to any fixed order is invariant, yielding closed equations for low-order dynamics.

本研究为由系统和环境模式的线性变换诱导的费米子系统构造了完全正映射和GKSL生成元。它推导了正规序单项式的显式海森堡图像公式，并证明对于偶环境态，任何固定阶数的单项式的线性张量是不变的，从而产生低阶动力学的闭合方程。

The paper develops a general framework for commutativity gadgets in quantum homomorphisms between relational structures. It introduces a uniform notion capturing finite-dimensional quantum, quantum approximate, and commuting-operator models, enabling lifting of classical reductions to quantum-sound reductions between nonlocal games.

本文为关系结构之间的量子同态中的交换性小工具开发了一个通用框架。它引入了捕捉有限维量子、量子近似和交换算子模型的统一概念，实现了将经典约简提升为非局域游戏之间的量子可靠约简。

This research addresses the characterization of multi-time quantum processes essential for analyzing temporally correlated noise and designing control strategies. The work highlights that complete operational description requires informationally complete probes including non-deterministic intermediate operations, which on current quantum devices are implemented with mid-circuit measurements and reset operations that introduce technological limitations and noise overhead.

本研究解决了多时间量子过程的表征问题，这对于分析时间相关噪声和设计控制策略至关重要。该工作强调完整的操作描述需要信息完备的探针，包括非确定性中间操作，这些操作在当前量子设备上通过中间电路测量和重置操作实现，会引入技术限制和噪声开销。

This work derives a closed-form expression for the critical timescale T_cr in non-Hermitian systems undergoing slow parametric loops, where T_cr = G ln(1/|Δ|) for various loop types including non-encircling, phase-shifted, offset, and exceptional-point-encircling trajectories. The formula addresses the previously unavailable explicit relationship between driving speed and non-adiabatic transition development in these quantum systems.

本研究推导了慢速参数环路中非厄米系统临界时间尺度T_cr的闭式表达式，对于非环绕、相移、偏移和环绕异常点等多种环路类型，T_cr = G ln(1/|Δ|)。该公式解决了这些量子系统中驱动速度与非绝热跃迁发展之间先前缺乏明确关系的问题。

This paper proves that the quantum walk characteristic polynomial completely determines strongly regular graphs of prime order up to isomorphism within their class. The proof utilizes block diagonalization of the quantum walk operator under the discrete Fourier transform, establishing a novel connection between quantum walk dynamics and graph isomorphism problems for this specific class of graphs.

本文证明量子游走特征多项式在同类图中完全确定素数阶强正则图直至同构。证明利用离散傅里叶变换下量子游走算子的块对角化，为这类特定图的量子游走动力学与图同构问题建立了新颖联系。

This theoretical study examines quantum particles under spatial constraints using the confinement potential approach, which maps constrained motion to Schrödinger-type equations in embedded Riemannian submanifolds. It addresses the incompatibility between classical spatial confinement and quantum zero-point fluctuations in curved quantum wires.

这项理论研究使用约束势方法分析空间约束下的量子粒子，将受限运动映射到嵌入黎曼子流形中的薛定谔型方程。解决了弯曲量子线中经典空间约束与量子零点涨落之间的不相容性问题。

This paper proposes a geometry-driven quantum-inspired classification framework integrating Correlation Group Structures, SWAP-test-based overlap estimation, and variational quantum decision modeling. The method adopts a geometry-first paradigm evaluating samples relative to class medoids using overlap-derived similarity channels, with CGR organizing features into correlation neighborhoods for nonlinear classification.

本文提出了一种几何驱动的量子启发分类框架，整合了相关群结构、基于SWAP测试的重叠估计和变分量子决策建模。该方法采用几何优先范式，使用重叠导出的相似性通道评估样本相对于类中值点的关系，CGR将特征组织到相关邻域中进行非线性分类。

The article discusses the technical and logistical requirements for deploying data centers in space, referencing SpaceX's FCC application for orbital data centers. It examines key challenges including power supply, thermal management, and quantum-resistant security measures. While not exclusively quantum-focused, the discussion touches on quantum cryptography needs for space-based infrastructure.

文章探讨了在太空部署数据中心的技术和后勤要求，涉及SpaceX向FCC提交的轨道数据中心申请。分析了包括电力供应、热管理和抗量子安全措施在内的关键挑战。虽然不专门针对量子技术，但讨论涉及太空基础设施所需的量子密码学需求。