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Maximal magic for two-qubit states 双量子位态的最大魔法
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-01-07 DOI: 10.1088/2058-9565/ae3028
Qiaofeng Liu, Ian Low and Zhewei Yin
Magic is a quantum resource essential for universal quantum computation and represents the deviation of quantum states from those that can be simulated efficiently using classical algorithms. Using the stabilizer Rényi entropy (SRE), we investigate two-qubit states with maximal magic, which are most distinct from classical simulability, and provide strong numerical evidence that the maximal second order SRE is , establishing a tighter bound than the prior . We identify 480 states saturating the new bound, which turn out to be the fiducial states for the mutually unbiased bases (MUBs) generated by the orbits of the Weyl–Heisenberg (WH) group, and conjecture that WH-MUBs are the maximal magic states for n-qubit, when n ≠ 1 and 3. We also reveal a striking interplay between magic and entanglement: the entanglement of maximal magic states is restricted to two possible values, and , as quantified by the concurrence; none is maximally entangled.
Magic是通用量子计算必不可少的量子资源,它代表了量子态与经典算法可以有效模拟的量子态之间的偏差。利用稳定器rsamnyi熵(SRE),研究了与经典可模拟性最不同的具有最大幻度的两量子位态,并提供了强有力的数值证据,证明最大二阶SRE是,建立了比先前更严格的界。我们确定了480个饱和于新界的状态,这些状态被证明是由Weyl-Heisenberg (WH)群轨道产生的互无偏基(mub)的基准状态,并推测当n≠1和3时,WH- mub是n量子位的最大魔法状态。我们还揭示了魔法和纠缠之间惊人的相互作用:最大魔法状态的纠缠被限制为两个可能的值,并且,通过并发量化;没有一个是最大纠缠的。
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引用次数: 0
Unbiased observable estimation with approximate channels in fault-tolerant quantum computation 容错量子计算中近似信道的无偏可观测估计
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-01-06 DOI: 10.1088/2058-9565/ae2efa
Dmitrii Khitrin, Kenneth R Brown and Abhinav Anand
Unitary errors, such as those arising from fault-tolerant (FT) compilation of quantum algorithms, systematically bias observable estimates. Correcting this bias typically requires additional resources, such as an increased number of non-Clifford gates. In this work, we present an alternative method for correcting bias in the expectation values of observables. The method leverages a decomposition of the ideal quantum channel into a probabilistic mixture of noisy quantum channels. Using this decomposition, we construct unbiased estimators as weighted sums of expectation values obtained from the noisy channels. We provide a detailed analysis of the method, identify the conditions under which it is effective, and validate its performance through numerical simulations. In particular, we demonstrate unbiased observable estimation in the presence of unitary errors by simulating the time dynamics of the Ising Hamiltonian. Our strategy offers a resource-efficient way to reduce the impact of unitary errors, improving methods for estimating observables in noisy near-term quantum devices and FT implementation of quantum algorithms.
单一误差,如由量子算法的容错(FT)编译引起的误差,系统地偏向可观察估计。纠正这种偏差通常需要额外的资源,例如增加非clifford门的数量。在这项工作中,我们提出了一种校正可观测值期望值偏差的替代方法。该方法利用将理想量子信道分解为噪声量子信道的概率混合。利用这种分解,我们将无偏估计构造为从噪声信道中获得的期望值的加权和。我们对该方法进行了详细的分析,确定了其有效的条件,并通过数值模拟验证了其性能。特别地,我们通过模拟伊辛哈密顿量的时间动力学,证明了存在幺正误差时的无偏可观测估计。我们的策略提供了一种资源高效的方法来减少单位误差的影响,改进了噪声近期量子器件中估计可观测值的方法和量子算法的FT实现。
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引用次数: 0
Intermediate-temperature topological Uhlmann phase on IBM quantum computers IBM量子计算机的中温拓扑乌尔曼相位
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-31 DOI: 10.1088/2058-9565/ae2d8d
Christopher Mastandrea, Costin Iancu, Hao Guo, Chih-Chun Chien
A spin-1 system can exhibit an intermediate-temperature topological regime with a quantized Uhlmann phase sandwiched by topologically trivial low- and high-temperature regimes. We present a quantum circuit consisting of system and ancilla qubits plus a probe qubit which prepares an initial state corresponding to the purified state of a spin-1 system at finite temperature, evolves the system according to the Uhlmann process, and measures the Uhlmann phase via expectation values of the probe qubit. Although classical simulations suggest the quantized Uhlmann phase is observable on International Business Machines (IBM’s) noisy intermediate-scale quantum (NISQ) computers, an implementation of the circuit without any optimization exceeds the gate count for the error budget and results in unresolved signals. Through a series of optimization with Qiskit and BQSKit, the gate count can be substantially reduced, making the jumps of the Uhlmann phase more visible. A recent hardware upgrade of IBM quantum computers further improves the signals and leads to a clearer demonstration of interesting finite-temperature topological phenomena on NISQ hardware.
自旋为1的系统可以表现出中温拓扑状态,其中量子化的乌尔曼相夹在拓扑平凡的低温和高温状态中。我们提出了一种由系统和辅助量子位加上探测量子位组成的量子电路,该电路制备了一个与有限温度下自旋-1系统的纯化态相对应的初始态,根据乌尔曼过程对系统进行演化,并通过探测量子位的期望值测量乌尔曼相位。尽管经典模拟表明,量化的乌尔曼相位在国际商业机器公司(IBM)的噪声中等规模量子(NISQ)计算机上是可观察到的,但没有任何优化的电路实现超过了误差预算的门数,并导致无法解析的信号。通过Qiskit和BQSKit的一系列优化,可以大大减少栅极计数,使乌尔曼相位的跳跃更加明显。IBM量子计算机最近的硬件升级进一步改进了信号,并在NISQ硬件上更清晰地展示了有趣的有限温度拓扑现象。
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引用次数: 0
Cooling mechanical motion with polaritons 用极化子冷却机械运动
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-31 DOI: 10.1088/2058-9565/ae302a
Xuan Zuo, Zi-Xu Lu, Jie Li
The strong coupling between light and matter gives rise to polaritons. Further coupling polaritons to phonons leads to the formation of hybrid polaromechanical systems. Recent experiments have achieved the strong coupling between polaritons and phonons in two configurations, namely, the magnon–photon–phonon and exciton–photon–phonon systems, which enables the control of mechanical motion via manipulating polaritons. Here, we present a polaromechanical cooling theory and explicitly show how two polaritons can be used to simultaneously cool two mechanical modes. The unique advantage of our protocol lies in the fact that the continuous tunability of the polariton frequencies over a wide range allows for the cooling of any two mechanical modes with their frequency difference falling within this range. We further discuss how to extend the theory to cool multiple mechanical modes. The protocol is designed for cooling mechanical motion in various emerging polaromechanical platforms, such as magnon-, exciton-, and plasmon-polaromechanical systems, which is the first step towards quantum states generation in these hybrid systems.
光和物质之间的强耦合产生了极化。进一步耦合极化与声子导致杂化极化力学系统的形成。最近的实验已经实现了磁子-光子-声子系统和激子-光子-声子系统两种极化子与声子之间的强耦合,使得通过操纵极化子来控制机械运动成为可能。在这里,我们提出了一种多极性机械冷却理论,并明确地展示了如何使用两个极化子同时冷却两种机械模式。我们的方案的独特优势在于,极化子频率在很宽的范围内的连续可调性允许任何两种机械模式的冷却,其频率差落在这个范围内。我们进一步讨论了如何将该理论扩展到冷却多种力学模式。该协议旨在冷却各种新兴的多芳香机械平台中的机械运动,例如磁振子,激子和等离子体-多芳香系统,这是在这些混合系统中产生量子态的第一步。
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引用次数: 0
Optimizing quantum sensing networks via genetic algorithms and deep learning 通过遗传算法和深度学习优化量子传感网络
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-29 DOI: 10.1088/2058-9565/ae2d8e
Asghar Ullah, Özgür E Müstecaplıoğlu, Matteo G A Paris
We investigate the optimization of graph topologies for quantum sensing networks designed to estimate weak magnetic fields. The sensors are modeled as spin systems governed by a transverse-field Ising Hamiltonian in thermal equilibrium at low temperatures. Using a genetic algorithm (GA), we evolve network topologies to maximize a perturbative spectral sensitivity measure, which serves as the fitness function for the GA. For the best-performing graphs, we compute the corresponding quantum Fisher information (QFI) to assess the ultimate bounds on estimation precision. To enable efficient scaling, we use the GA-generated data to train a deep neural network, allowing extrapolation to larger graph sizes where direct computation becomes prohibitive. Our results show that while both the fitness function and QFI initially increase with system size, the QFI exhibits a clear non-monotonic behavior—saturating and eventually declining beyond a critical graph size. This reflects the loss of superlinear scaling of the QFI, as the narrowing of the energy gap signals a crossover to classical scaling of the QFI with system size. The effect is reminiscent of the microeconomic law of diminishing returns: beyond an optimal graph size, further increases yield reduced sensing performance. This saturation and decline in precision are particularly pronounced under Kac scaling, where both the QFI and spin squeezing plateau or degrade with increasing system size. We also attribute observed even–odd oscillations in the spectral sensitivity measure and QFI to quantum interference effects in spin phase space, as confirmed by our phase-space analysis. These findings highlight the critical role of optimizing interaction topology—rather than simply increasing network size—and demonstrate the potential of hybrid evolutionary and learning-based approaches for designing high-performance quantum sensors.
我们研究了用于估计弱磁场的量子传感网络的图拓扑优化。这些传感器被建模为在低温热平衡下由横场伊辛哈密顿量控制的自旋系统。使用遗传算法(GA),我们进化网络拓扑以最大化微扰谱灵敏度度量,该度量作为遗传算法的适应度函数。对于性能最好的图,我们计算相应的量子费雪信息(QFI)来评估估计精度的最终界限。为了实现有效的扩展,我们使用ga生成的数据来训练深度神经网络,允许外推到更大的图尺寸,在那里直接计算变得令人望而却步。我们的研究结果表明,虽然适应度函数和QFI最初都随着系统规模的增加而增加,但QFI表现出明显的非单调行为-饱和并最终下降超过临界图大小。这反映了QFI的超线性缩放的损失,因为能量间隙的缩小标志着QFI与系统大小的经典缩放的交叉。这种效应让人想起收益递减的微观经济规律:超过最佳图形大小,进一步增加产量会降低感知性能。这种饱和和精度的下降在Kac缩放下特别明显,其中QFI和自旋压缩都随着系统尺寸的增加而稳定或下降。我们还将在光谱灵敏度测量和QFI中观察到的奇偶振荡归因于自旋相空间中的量子干涉效应,正如我们的相空间分析所证实的那样。这些发现强调了优化交互拓扑的关键作用,而不是简单地增加网络规模,并展示了设计高性能量子传感器的混合进化和基于学习的方法的潜力。
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引用次数: 0
Achieving fast and robust perfect entangling gates via reinforcement learning 通过强化学习实现快速鲁棒的完美纠缠门
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-23 DOI: 10.1088/2058-9565/ae2c16
Leander Grech, Matthias G Krauss, Mirko Consiglio, Tony J G Apollaro, Christiane P Koch, Simon Hirlaender and Gianluca Valentino
Noisy intermediate-scale quantum computers hold the promise of tackling complex and otherwise intractable computational challenges through the massive parallelism offered by qubits. Central to realizing the potential of quantum computing are perfect entangling (PE) two-qubit gates, which serve as a critical building block for universal quantum computation. In the context of quantum optimal control, shaping electromagnetic pulses to drive quantum gates is crucial for pushing gate performance toward theoretical limits. In this work, we leverage reinforcement learning (RL) techniques to discover near-optimal pulse shapes that yield PE gates. A collection of RL agents is trained within robust simulation environments, enabling the identification of effective control strategies even under noisy conditions. Selected agents are then validated on higher-fidelity simulations, illustrating how RL-based methods can reduce calibration overhead when compared to quantum optimal control techniques. Furthermore, the RL approach is hardware agnostic with the potential for broad applicability across various quantum computing platforms.
嘈杂的中等规模量子计算机有望通过量子比特提供的大规模并行性来解决复杂和难以解决的计算挑战。实现量子计算潜力的核心是完美纠缠(PE)双量子比特门,它是通用量子计算的关键组成部分。在量子最优控制的背景下,塑造电磁脉冲来驱动量子门对于将门性能推向理论极限至关重要。在这项工作中,我们利用强化学习(RL)技术来发现产生PE门的近最佳脉冲形状。在鲁棒仿真环境中训练了一组RL代理,即使在噪声条件下也能识别有效的控制策略。然后在更高保真度的模拟中验证选定的代理,说明与量子最优控制技术相比,基于强化学习的方法如何减少校准开销。此外,RL方法与硬件无关,具有跨各种量子计算平台的广泛适用性。
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引用次数: 0
Optimal quantum likelihood estimation 最优量子似然估计
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-19 DOI: 10.1088/2058-9565/ae2b31
Alon Levi, Ziv Ossi, Eliahu Cohen and Amit Te’eni
A hybrid quantum–classical algorithm is a computational scheme in which quantum circuits are used to extract information that is then processed by a classical routine to guide subsequent quantum operations. These algorithms are especially valuable in the noisy intermediate-scale quantum era, where quantum resources are constrained and classical optimization plays a central role. Here, we improve the performance of a hybrid algorithm through principled, information-theoretic optimization. We focus on Quantum Likelihood Estimation (QLE)–-a hybrid algorithm designed to identify the Hamiltonian governing a quantum system by iteratively updating a weight distribution based on measurement outcomes and Bayesian inference. While QLE already achieves convergence using quantum measurements and Bayesian inference, its efficiency can vary greatly depending on the choice of parameters at each step. We propose an optimization strategy that dynamically selects the initial state, measurement basis, and evolution time in each iteration to maximize the mutual information between the measurement outcome and the true Hamiltonian. This approach builds upon the information-theoretic framework recently developed in Te’eni et al (2024 arXiv:2409.15549), and leverages mutual information as a guiding cost function for parameter selection. Our implementation employs a simulated annealing routine to minimize the conditional von Neumann entropy, thereby maximizing information gain in each iteration. The results demonstrate that our optimized version significantly reduces the number of iterations required for convergence, thus proposing a practical method for accelerating Hamiltonian learning in quantum systems. Finally, we propose a general scheme that extends our approach to solve a broader family of quantum learning problems.
混合量子-经典算法是一种计算方案,其中使用量子电路提取信息,然后通过经典例程处理以指导后续的量子操作。这些算法在嘈杂的中等规模量子时代尤其有价值,因为量子资源是有限的,经典优化起着核心作用。在这里,我们通过原则的、信息论的优化来提高混合算法的性能。我们专注于量子似然估计(QLE)——一种混合算法,旨在通过基于测量结果和贝叶斯推理迭代更新权重分布来识别控制量子系统的哈密顿量。虽然QLE已经通过量子测量和贝叶斯推理实现了收敛,但它的效率可能会因每一步参数的选择而有很大差异。我们提出了一种优化策略,在每次迭代中动态选择初始状态、测量基础和演化时间,以最大化测量结果与真哈密顿量之间的互信息。该方法建立在Te 'eni等人(2024 arXiv:2409.15549)最近开发的信息论框架之上,并利用互信息作为参数选择的指导成本函数。我们的实现采用模拟退火程序来最小化条件冯·诺伊曼熵,从而最大化每次迭代中的信息增益。结果表明,我们的优化版本显著减少了收敛所需的迭代次数,从而为加速量子系统中的哈密顿学习提供了一种实用的方法。最后,我们提出了一个通用方案,扩展了我们的方法来解决更广泛的量子学习问题。
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引用次数: 0
Beyond asymptotic reasoning: the practicalities of a quantum ground state projector based on the wall-Chebyshev expansion 超越渐近推理:基于wall-Chebyshev展开的量子基态投影仪的实用性
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-17 DOI: 10.1088/2058-9565/ae2887
Maria-Andreea Filip and Nathan Fitzpatrick
We consider a quantum algorithm for ground-state preparation based on a Chebyshev series approximation to the wall function. In a classical setting, this approach is appealing as it guarantees rapid convergence. We analyse the asymptotic scaling and success probabilities of different quantum implementations and provide numerical benchmarks, comparing the performance of the wall-Chebyshev projectors with current state-of-the-art approaches. We find that this approach requires fewer serial applications of the Hamiltonian oracle to achieve a given ground state fidelity, but is severely limited by exponentially decaying success probability. However, we find that some implementations maintain non-trivial success probability in regimes where wall-Chebyshev projection leads to a fidelity improvement over other approaches. As the wall-Chebyshev projector is highly robust to loose known upper bounds on the true ground state energy, it offers a potential resource trade-off, particularly in the early fault-tolerant regime of quantum computation.
我们考虑了一种基于切比雪夫级数近似于壁函数的基态制备量子算法。在经典环境中,这种方法很有吸引力,因为它保证了快速收敛。我们分析了不同量子实现的渐近缩放和成功概率,并提供了数值基准,比较了wall-Chebyshev投影仪与当前最先进方法的性能。我们发现这种方法需要较少的哈密顿预言器的串行应用来实现给定的基态保真度,但受到指数衰减的成功概率的严重限制。然而,我们发现一些实现在wall-Chebyshev投影导致保真度优于其他方法的情况下保持了非平凡的成功概率。由于wall-Chebyshev投影仪对真实基态能量的已知上界具有高度鲁棒性,因此它提供了潜在的资源权衡,特别是在量子计算的早期容错机制中。
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引用次数: 0
Achieving quantum-limited sub-Rayleigh identification of incoherent optical sources with arbitrary intensities 实现任意强度非相干光源的量子受限亚瑞利识别
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-17 DOI: 10.1088/2058-9565/ae2885
Danilo Triggiani and Cosmo Lupo
The Rayleigh diffraction limit imposes a fundamental restriction on the resolution of direct imaging systems, hindering the identification of incoherent optical sources, such as celestial bodies in astronomy and fluorophores in bioimaging. Recent advances in quantum sensing have shown that this limit can be circumvented through spatial demultiplexing (SPADE) and photon detection, i.e. a semi-classical detection strategy. However, the general optimality for arbitrary intensity distributions and bright sources remains unproven. In this work, we develop a general model for incoherent light with arbitrary intensity undergoing diffraction. We employ this framework to compute the quantum Chernoff exponent for generic incoherent-source discrimination problems, focusing on the sub-diffraction regime. We show that, surprisingly, SPADE measurements saturate the quantum Chernoff bound only when certain compatibility conditions are met. These findings suggest that collective measurements may actually be needed to achieve the ultimate quantum Chernoff bound for the discrimination of specific incoherent sources. For the fully general case, our analysis can still be used to find the best SPADE configurations, generally achieved through a rotation of the SPADE interferometer that depends on the discrimination task. We also simulated the efficiency of a simplified Bayesian test that we developed for this identification task and show that the saturation of the Chernoff bound is already achieved for a finite number of repetitions . Our results advance the theory of quantum-limited optical discrimination, with possible applications in diagnostics, automated image interpretation, and galaxy identification.
瑞利衍射极限从根本上限制了直接成像系统的分辨率,阻碍了非相干光源的识别,例如天文学中的天体和生物成像中的荧光团。量子传感的最新进展表明,可以通过空间解复用(SPADE)和光子检测来绕过这一限制,即半经典检测策略。然而,对于任意强度分布和明亮光源的一般最优性仍未得到证实。在这项工作中,我们建立了一个具有任意强度的衍射的非相干光的一般模型。我们利用这个框架计算了一般非相干源识别问题的量子切尔诺夫指数,重点是亚衍射区。我们表明,令人惊讶的是,只有在满足某些相容条件时,SPADE测量才会使量子切尔诺夫界饱和。这些发现表明,集体测量实际上可能需要达到鉴别特定非相干源的最终量子切尔诺夫界。对于完全一般的情况,我们的分析仍然可以用于找到最佳的SPADE配置,通常通过依赖于识别任务的SPADE干涉仪的旋转来实现。我们还模拟了为该识别任务开发的简化贝叶斯测试的效率,并表明在有限次数的重复中已经达到Chernoff界的饱和。我们的研究结果推进了量子受限光学识别理论,在诊断、自动图像解释和星系识别方面有可能应用。
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引用次数: 0
Distilled remote entanglement between superconducting qubits across optical channels 透过光学通道的超导量子位元之间的远端纠缠
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-16 DOI: 10.1088/2058-9565/ae2884
Nicolas Dirnegger, Moein Malekakhlagh, Vikesh Siddhu, Ashutosh Rao, Chi Xiong, Muir Kumph, Jason Orcutt and Abram Falk
A promising quantum computing architecture comprises modules of superconducting quantum processors linked via optical channels using quantum transducers. As quantum transducer hardware improves, a need has arisen to understand the quantitative relationship between transducer-device characteristics and the strength of the resulting remote entanglement. Using Monte Carlo simulations that incorporate 2-to-1 and 3-to-1 entanglement distillation methods, our model maps transducer device performance up to system-level channel performance, thereby allowing the performance of remote entanglement approaches to be compared and optimized. We find the extreme photon loss (EPL) distillation protocol to be particularly high performing. Moreover, even without distillation, present-day transducers with added noise of photons are at the threshold of enabling remote Bell pairs with fidelities exceeding 50%. If the next generation of transducers can improve by 3 orders of magnitude in added noise, efficiency, and repetition rates, then they would allow for remote two-qubit gates achieving 99.7% fidelities at MHz rates. These results set practical targets for transducers to be ready for deployment into modular quantum computing systems.
一种很有前途的量子计算架构包括超导量子处理器模块,这些模块通过使用量子换能器的光通道连接在一起。随着量子换能器硬件的改进,需要了解换能器器件特性与由此产生的远程纠缠强度之间的定量关系。使用蒙特卡罗模拟,结合2比1和3比1纠缠蒸馏方法,我们的模型将传感器设备性能映射到系统级通道性能,从而允许远程纠缠方法的性能进行比较和优化。我们发现极端光子损失(EPL)蒸馏协议具有特别高的性能。此外,即使没有蒸馏,现在的传感器与光子的附加噪声是在使远贝尔对保真度超过50%的阈值。如果下一代换能器可以在附加噪声、效率和重复率方面提高3个数量级,那么它们将允许远程双量子位门在MHz速率下实现99.7%的保真度。这些结果为传感器准备部署到模块化量子计算系统中设定了实际目标。
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引用次数: 0
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Quantum Science and Technology
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