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Optimisation and synthesis of quantum circuits with global gates 具有全局门的量子电路的优化与合成
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-01-16 DOI: 10.1088/2058-9565/ae3029
Alejandro Villoria, Henning Basold and Alfons Laarman
Compiling quantum circuits to account for hardware restrictions is an essential part of the quantum computing stack. Circuit compilation allows us to adapt algorithm descriptions into a sequence of operations supported by real quantum hardware, and has the potential to significantly improve their performance when optimisation techniques are added to the process. One such optimisation technique is reducing the number of quantum gates that are needed to execute a circuit. For instance, methods for reducing the number of non-Clifford gates or CNOT gates from a circuit are an extensive research area that has gathered significant interest over the years. For certain hardware platforms such as trapped-ion quantum computers, we can leverage some of their special properties to further reduce the cost of executing a quantum circuit in them. In this work we use global interactions, such as the Global Mølmer–Sørensen (MS) gate present in trapped-ion hardware, to optimise and synthesise quantum circuits. We design and implement an algorithm that is able to compile an arbitrary quantum circuit into another circuit that uses global gates as the entangling operation, while optimising the number of global interactions needed. The algorithm is based on the ZX-calculus and uses a specialised circuit extraction routine that groups entangling gates into Global MS gates. We benchmark the algorithm in a variety of circuits, and show how it improves their performance under state-of-the-art hardware considerations in comparison to a naive algorithm and the Qiskit optimiser.
编译量子电路以考虑硬件限制是量子计算堆栈的重要组成部分。电路编译使我们能够将算法描述调整为由真实量子硬件支持的一系列操作,并且在将优化技术添加到过程中时,有可能显着提高其性能。其中一种优化技术是减少执行电路所需的量子门的数量。例如,减少电路中非clifford门或CNOT门数量的方法是一个广泛的研究领域,多年来已经引起了人们的极大兴趣。对于某些硬件平台,如捕获离子量子计算机,我们可以利用它们的一些特殊属性来进一步降低在其中执行量子电路的成本。在这项工作中,我们使用全局相互作用,例如存在于捕获离子硬件中的全局Mølmer-Sørensen (MS)门,来优化和合成量子电路。我们设计并实现了一种算法,该算法能够将任意量子电路编译成使用全局门作为纠缠操作的另一个电路,同时优化所需的全局相互作用的数量。该算法基于zx微积分,并使用专门的电路提取程序,将纠缠门分组为全局MS门。我们在各种电路中对算法进行基准测试,并展示了与朴素算法和Qiskit优化器相比,它如何在最先进的硬件考虑下提高性能。
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引用次数: 0
Variational determination of penalty parameters in quantum annealing 量子退火中惩罚参数的变分确定
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-01-16 DOI: 10.1088/2058-9565/ae30a2
Ji-Qian Qin, Yunlong Yu and Xiang-Bin Wang
Quantum annealing (QA) offers a promising approach for solving constrained combinatorial optimization on near-term quantum devices. It encodes solutions into the ground states of the Ising problem Hamiltonians through penalty terms and penalty parameters to enforce constraints. We propose a variational determination framework to address the issue of penalty parameter selection through three progressively generalized methods: the Frozen method variationally adjusts parameters in a tunable Hamiltonian to prepare evolved states minimizing the energy of a target Hamiltonian with Frozen parameters; the Time-Transfer method applies optimized parameters to longer annealing times; and the Full-Transfer method extends this approach across both system sizes and annealing durations. The effectiveness of these methods stems from energy minimization steering the evolution toward the low-energy subspace. Evaluated on vertex cover problems over 40 randomly generated 12-vertex 3-regular graphs, the Frozen method improves the average single-run success probability from to at , and reduces the average number of runs required for 99.9% success probability by 3.8 times at (including optimization overhead). Crucially, both Time-Transfer method and Full-Transfer method achieve single-run fidelity improvements comparable to the Frozen method, while reducing the number of runs required for 99.9% success probability at by 6.63 times and 6.4 times, respectively. The speedup of the Time-Transfer method excludes initial optimization at , whereas Full-Transfer method provides end-to-end acceleration. Our variational framework establishes that optimization-informed short-time QA can match the performance of extended schedules, offering a practical approach for current quantum devices.
量子退火(QA)为解决近期量子器件的约束组合优化问题提供了一种有前途的方法。它通过惩罚项和惩罚参数将解编码为伊辛问题哈密顿量的基态,以加强约束。我们提出了一个变分确定框架,通过三种逐步推广的方法来解决惩罚参数选择问题:Frozen方法通过变分调整可调哈密顿量中的参数来制备演化状态,使具有Frozen参数的目标哈密顿量的能量最小;时间传递法将优化后的参数应用于较长的退火时间;而Full-Transfer方法将这种方法扩展到系统大小和退火持续时间。这些方法的有效性源于能量最小化引导了向低能子空间的演化。通过对40多个随机生成的12顶点3正则图的顶点覆盖问题进行评估,Frozen方法将平均单次运行成功概率从to提高到at,并将99.9%成功率所需的平均运行次数减少3.8倍at(包括优化开销)。最重要的是,Time-Transfer方法和Full-Transfer方法都实现了与Frozen方法相比的单次运行保真度改进,同时将99.9%成功率所需的运行次数分别减少了6.63倍和6.4倍。Time-Transfer方法的加速不包括初始优化,而Full-Transfer方法提供端到端的加速。我们的变分框架建立了优化通知的短时间QA可以匹配扩展时间表的性能,为当前量子设备提供了一种实用的方法。
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引用次数: 0
Large parts are generically entangled across all cuts 大的部分通常在所有切口上都缠绕在一起
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-01-13 DOI: 10.1088/2058-9565/ae30a4
Mu-En Liu, Kai-Siang Chen, Chung-Yun Hsieh, Gelo Noel M Tabia and Yeong-Cherng Liang
Generic bipartite pure states of sufficiently large dimensions are overwhelmingly likely to be highly entangled. However, unlike the bipartite setting, the entanglement of generic multipartite pure states, and specifically their multipartite marginals, is far less understood. Here, we show that sufficiently large marginals of generic multipartite pure states, accounting for approximately half or more of the subsystems, are entangled across all bipartitions. These pure states are thus robust to losses in entanglement distribution. Moreover, even without assuming that the global state is pure, a small number of overlapping entangled marginals of generic pure states—as we show in this work—must induce entanglement in other marginals when some mild dimension constraints are satisfied, i.e. entanglement transitivity is a generic feature of various many-body pure states. Numerically, we further observe that the genericity of (1) entangled marginals, (2) unique global compatibility, and (3) entanglement transitivity may also hold beyond the analytically established dimension constraints. We also discuss potential applications of these features of generic pure states in quantum information processing.
足够大维度的一般二部纯态极有可能是高度纠缠态。然而,与二部设定不同的是,一般多部纯态的纠缠,特别是它们的多部边际,远没有被理解。在这里,我们证明了足够大的一般多部纯态的边际,约占子系统的一半或更多,在所有双分区上纠缠。因此,这些纯态对纠缠分布中的损失具有鲁棒性。此外,即使不假设全局态是纯态,当满足一些温和的维度约束时,一般纯态的少量重叠纠缠边缘(如本文所示)也必然会引起其他边缘的纠缠,即纠缠传递性是各种多体纯态的一般特征。在数值上,我们进一步观察到(1)纠缠边缘的一般性,(2)唯一的全局兼容性,以及(3)纠缠传递性也可能在解析建立的维度约束之外保持。我们还讨论了一般纯态的这些特征在量子信息处理中的潜在应用。
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引用次数: 0
Mirrored entanglement witnesses for multipartite and high-dimensional quantum systems 多部和高维量子系统的镜像纠缠见证
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-01-12 DOI: 10.1088/2058-9565/ae30a3
Jiheon Seong, Anindita Bera, Beatrix C Hiesmayr, Dariusz Chruściński and Joonwoo Bae
Entanglement witnesses (EWs) are a versatile tool to detect entangled states and characterize related properties of entanglement in quantum information theory. The verification of entangled states via EWs relies on the fact that separable states form a convex set; this also means that the framework presented by EWs generally applies to other quantum resources where free resources contain the convexity. A witness W corresponds to an observable satisfying for all separable states ; entangled states are detected once the inequality is violated. Recently, mirrored EWs have been introduced by showing that there exist non-trivial upper bounds to EWs, An upper bound to a witness W signifies the existence of the other one M, called a mirrored EW, such that . The framework of mirrored EWs shows that a single EW can be even more useful, as it can detect a larger set of entangled states by lower and upper bounds. In this work, we develop and investigate mirrored EWs for multipartite qubit states and also for high-dimensional systems, to find the efficiency and effectiveness of mirrored EWs in detecting entangled states. We provide mirrored EWs for n-partite GHZ states, graph states such as two-colorable states and tripartite bound entangled states. We also show that optimal EWs can be reflected with each other. For bipartite systems, we present mirrored EWs for existing optimal EWs and also construct a mirrored pair of optimal EWs in dimension three. Finally, we generalize mirrored EWs such that a pair of EWs can be connected by another EW, i.e. is also an EW. Our results enhance the capability of EWs to detect a larger set of entangled states in multipartite and high-dimensional quantum systems.
在量子信息理论中,纠缠见证(EWs)是一种检测纠缠态和表征纠缠相关特性的通用工具。通过EWs验证纠缠态依赖于可分离态形成凸集的事实;这也意味着EWs提出的框架一般适用于自由资源包含凸性的其他量子资源。见证W对应于满足所有可分离状态的观测值;一旦不平等被打破,就可以检测到纠缠态。最近,镜像电子战通过证明电子战存在非平凡上界而被引入,一个见证W的上界表示另一个见证M的存在,称为镜像电子战,使得。镜像电子战的框架表明,单个电子战可以更有用,因为它可以通过下界和上界检测到更大的纠缠态集。在这项工作中,我们开发和研究了多部量子位态和高维系统的镜像EWs,以发现镜像EWs在检测纠缠态方面的效率和有效性。我们提供了n部GHZ态、双色态和三部束缚纠缠态等图形态的镜像EWs。我们还证明了最优EWs可以相互反映。对于二部系统,我们给出了现有最优系统的镜像系统,并在三维空间构造了一对最优系统的镜像系统。最后,我们对镜像EW进行了推广,使得一对EW可以通过另一个EW连接,即也是一个EW。我们的研究结果增强了EWs在多部和高维量子系统中检测更大纠缠态集的能力。
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引用次数: 0
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
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Quantum Science and Technology
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