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Quantum Speedup of the Dispersion and Codebook Design Problems 分散和码本设计问题的量子加速
Pub Date : 2024-08-28 DOI: 10.1109/TQE.2024.3450852
Kein Yukiyoshi;Taku Mikuriya;Hyeon Seok Rou;Giuseppe Thadeu Freitas de Abreu;Naoki Ishikawa
In this article, we propose new formulations of max-sum and max-min dispersion problems that enable solutions via the Grover adaptive search (GAS) quantum algorithm, offering quadratic speedup. Dispersion problems are combinatorial optimization problems classified as NP-hard, which appear often in coding theory and wireless communications applications involving optimal codebook design. In turn, GAS is a quantum exhaustive search algorithm that can be used to implement full-fledged maximum-likelihood optimal solutions. In conventional naive formulations, however, it is typical to rely on a binary vector spaces, resulting in search space sizes prohibitive even for GAS. To circumvent this challenge, we instead formulate the search of optimal dispersion problem over Dicke states, an equal superposition of binary vectors with equal Hamming weights, which significantly reduces the search space leading to a simplification of the quantum circuit via the elimination of penalty terms. In addition, we propose a method to replace distance coefficients with their ranks, contributing to the reduction of the number of qubits. Our analysis demonstrates that as a result of the proposed techniques, a reduction in query complexity compared to the conventional GAS using the Hadamard transform is achieved, enhancing the feasibility of the quantum-based solution of the dispersion problem.
在这篇文章中,我们提出了最大和与最大-最小分散问题的新公式,可以通过格罗弗自适应搜索(GAS)量子算法求解,并提供二次加速。分散问题是被归类为 NP-困难的组合优化问题,经常出现在编码理论和涉及最优码本设计的无线通信应用中。而 GAS 是一种量子穷举搜索算法,可用于实现成熟的最大似然最优解。然而,在传统的天真公式中,通常依赖于二进制向量空间,导致搜索空间的大小甚至令 GAS 望而却步。为了规避这一挑战,我们转而在 Dicke 状态(具有相等汉明权重的二进制向量的相等叠加)上搜索最佳分散问题,这大大缩小了搜索空间,通过消除惩罚项简化了量子电路。此外,我们还提出了一种用等级取代距离系数的方法,有助于减少量子比特的数量。我们的分析表明,与使用哈达玛变换的传统 GAS 相比,所提出的技术降低了查询复杂度,增强了基于量子的色散问题解决方案的可行性。
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引用次数: 0
Improving Probabilistic Error Cancellation in the Presence of Nonstationary Noise 改进非稳态噪声下的概率误差消除
Pub Date : 2024-08-23 DOI: 10.1109/TQE.2024.3435757
Samudra Dasgupta;Travis S. Humble
In this article, we investigate the stability of probabilistic error cancellation (PEC) outcomes in the presence of nonstationary noise, which is an obstacle to achieving accurate observable estimates. Leveraging Bayesian methods, we design a strategy to enhance PEC stability and accuracy. Our experiments using a five-qubit implementation of the Bernstein–Vazirani algorithm and conducted on the ibm_kolkata device reveal a 42% improvement in accuracy and a 60% enhancement in stability compared to nonadaptive PEC. These results underscore the importance of adaptive estimation processes to effectively address nonstationary noise, vital for advancing PEC utility.
在本文中,我们研究了非平稳噪声存在时概率误差消除(PEC)结果的稳定性,非平稳噪声是实现精确可观测估计的障碍。利用贝叶斯方法,我们设计了一种增强 PEC 稳定性和准确性的策略。我们在 ibm_kolkata 设备上使用伯恩斯坦-瓦齐拉尼算法的五量子比特实现进行了实验,发现与非自适应 PEC 相比,准确性提高了 42%,稳定性提高了 60%。这些结果凸显了自适应估计过程对有效解决非稳态噪声的重要性,这对提高 PEC 的实用性至关重要。
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引用次数: 0
Quantum Circuit for Imputation of Missing Data 计算缺失数据的量子电路
Pub Date : 2024-08-22 DOI: 10.1109/TQE.2024.3447875
Claudio Sanavio;Simone Tibaldi;Edoardo Tignone;Elisa Ercolessi
The imputation of missing data is a common procedure in data analysis that consists in predicting missing values of incomplete data points. In this work, we analyze a variational quantum circuit for the imputation of missing data. We construct variational quantum circuits with gates complexity $mathcal {O}(N)$ and $mathcal {O}(N^{2})$ that return the last missing bit of a binary string for a specific distribution. We train and test the performance of the algorithms on a series of datasets finding good convergence of the results. Finally, we test the circuit for generalization to unseen data. For simple systems, we are able to describe the circuit analytically, making it possible to skip the tedious and unresolved problem of training the circuit with repetitive measurements. We find beforehand the optimal values of the parameters and make use of them to construct an optimal circuit suited to the generation of truly random data.
缺失数据的估算是数据分析中的一种常见程序,包括预测不完整数据点的缺失值。在这项工作中,我们分析了一种用于缺失数据估算的变分量子电路。我们构建了门复杂度为 $mathcal {O}(N)$ 和 $mathcal {O}(N^{2})$ 的变分量子电路,可以返回特定分布的二进制字符串的最后一个缺失位。我们在一系列数据集上对算法的性能进行了训练和测试,发现结果收敛性良好。最后,我们测试了电路对未见数据的通用性。对于简单的系统,我们可以对电路进行分析描述,从而跳过通过重复测量来训练电路这一繁琐且尚未解决的问题。我们事先找到了参数的最佳值,并利用它们构建了适合生成真正随机数据的最佳电路。
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引用次数: 0
Simulation of Charge Stability Diagrams for Automated Tuning Solutions (SimCATS) 自动调整解决方案的电荷稳定性图模拟 (SimCATS)
Pub Date : 2024-08-20 DOI: 10.1109/TQE.2024.3445967
Fabian Hader;Sarah Fleitmann;Jan Vogelbruch;Lotte Geck;Stefan van Waasen
Quantum dots (QDs) must be tuned precisely to provide a suitable basis for quantum computation. A scalable platform for quantum computing can only be achieved by fully automating the tuning process. One crucial step is to trap the appropriate number of electrons in the QDs, typically accomplished by analyzing charge stability diagrams (CSDs). Training and testing automation algorithms require large amounts of data, which can be either measured and manually labeled in an experiment or simulated. This article introduces a new approach to the realistic simulation of such measurements. Our flexible framework enables the simulation of ideal CSD data complemented with appropriate sensor responses and distortions. We suggest using this simulation to benchmark published algorithms. Also, we encourage the extension by custom models and parameter sets to drive the development of robust technology-independent algorithms.
量子点(QDs)必须经过精确调谐,才能为量子计算提供合适的基础。只有将调谐过程完全自动化,才能实现可扩展的量子计算平台。其中一个关键步骤是在 QDs 中捕获适当数量的电子,通常通过分析电荷稳定性图(CSD)来实现。训练和测试自动化算法需要大量数据,这些数据既可以在实验中测量和手动标注,也可以模拟。本文介绍了一种对此类测量进行真实模拟的新方法。我们灵活的框架可以模拟理想的 CSD 数据,并辅以适当的传感器响应和失真。我们建议使用这种模拟对已发布的算法进行基准测试。此外,我们鼓励通过自定义模型和参数集进行扩展,以推动与技术无关的稳健算法的发展。
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引用次数: 0
Solving Nonnative Combinatorial Optimization Problems Using Hybrid Quantum–Classical Algorithms 利用量子-经典混合算法解决非本地组合优化问题
Pub Date : 2024-08-14 DOI: 10.1109/TQE.2024.3443660
Jonathan Wurtz;Stefan H. Sack;Sheng-Tao Wang
Combinatorial optimization is a challenging problem applicable in a wide range of fields from logistics to finance. Recently, quantum computing has been used to attempt to solve these problems using a range of algorithms, including parameterized quantum circuits, adiabatic protocols, and quantum annealing. These solutions typically have several challenges: 1) there is little to no performance gain over classical methods; 2) not all constraints and objectives may be efficiently encoded in the quantum ansatz; and 3) the solution domain of the objective function may not be the same as the bit strings of measurement outcomes. This work presents “nonnative hybrid algorithms”: a framework to overcome these challenges by integrating quantum and classical resources with a hybrid approach. By designing nonnative quantum variational anosatzes that inherit some but not all problem structure, measurement outcomes from the quantum computer can act as a resource to be used by classical routines to indirectly compute optimal solutions, partially overcoming the challenges of contemporary quantum optimization approaches. These methods are demonstrated using a publicly available neutral-atom quantum computer on two simple problems of Max $k$-Cut and maximum independent set. We find improvements in solution quality when comparing the hybrid algorithm to its “no quantum” version, a demonstration of a “comparative advantage.”
组合优化是一个具有挑战性的问题,适用于从物流到金融等广泛领域。最近,量子计算被用来尝试使用一系列算法解决这些问题,包括参数化量子电路、绝热协议和量子退火。这些解决方案通常面临以下挑战1) 与经典方法相比,性能几乎没有提升;2) 并非所有约束条件和目标都能在量子解析中有效编码;3) 目标函数的解域可能与测量结果的比特串不同。这项研究提出了 "非本源混合算法":一种通过混合方法整合量子和经典资源来克服这些挑战的框架。通过设计能继承部分而非全部问题结构的非原生量子变分法,量子计算机的测量结果可以作为一种资源,被经典程序用来间接计算最优解,从而部分克服了当代量子优化方法所面临的挑战。我们使用一台公开的中性原子量子计算机,在最大 k$-Cut 和最大独立集这两个简单问题上演示了这些方法。我们发现,将混合算法与其 "无量子 "版本相比,解的质量有所提高,体现了 "比较优势"。
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引用次数: 0
Multidisk Clutch Optimization Using Quantum Annealing 利用量子退火优化多磁盘离合器
Pub Date : 2024-08-09 DOI: 10.1109/TQE.2024.3441229
John D. Malcolm;Alexander Roth;Mladjan Radic;Pablo Martín-Ramiro;Jon Oillarburu;Borja Aizpurua;Román Orús;Samuel Mugel
In this article, we apply a quantum optimization algorithm to solve a combinatorial problem with significant practical relevance occurring in clutch manufacturing. It is demonstrated how quantum optimization can play a role in real industrial applications in the manufacturing sector. Using the quantum annealer provided by D-Wave Systems, we analyze the performance of the quantum and quantum–classical hybrid solvers and compare them to deterministic- and random-algorithm classical benchmark solvers. The continued evolution of the quantum technology, indicating an expectation for even greater relevance in the future, is discussed, and the revolutionary potential it could have in the manufacturing sector is highlighted.
在本文中,我们应用量子优化算法来解决离合器制造中出现的一个具有重大现实意义的组合问题。它展示了量子优化如何在制造业的实际工业应用中发挥作用。利用 D-Wave 系统公司提供的量子退火器,我们分析了量子和量子-经典混合求解器的性能,并将它们与确定性算法和随机算法经典基准求解器进行了比较。我们讨论了量子技术的持续发展,这表明量子技术有望在未来发挥更大的作用,并强调了量子技术在制造业中可能具有的革命性潜力。
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引用次数: 0
Fault-Tolerant One-Way Noiseless Amplification for Microwave Bosonic Quantum Information Processing 用于微波波色子量子信息处理的容错单向无噪声放大技术
Pub Date : 2024-08-07 DOI: 10.1109/TQE.2024.3440192
Hany Khalifa;Riku Jäntti;Gheorghe Sorin Paraoanu
Microwave quantum information networks require reliable transmission of single-photon propagating modes over lossy channels. In this article, we propose a microwave noiseless linear amplifier (NLA) suitable to circumvent the losses incurred by a flying photon undergoing an amplitude damping channel (ADC). The proposed model is constructed by engineering a simple 1-D four-node cluster state. Contrary to conventional NLAs based on quantum scissors (QS), single-photon amplification is realized without the need for photon number resolving detectors. Entanglement between nodes comprising the device's cluster is achieved by means of a controlled phase gate. Furthermore, photon measurements are implemented by quantum nondemolition detectors, which are currently available as a part of the circuit quantum electrodynamics toolbox. We analyze the performance of our device practically by considering detection inefficiency and dark count probability. We further examine the potential usage of our device in low-power quantum sensing applications and remote secret key generation (SKG). Specifically, we demonstrate the device's ability to prepare loss-free resources offline, and its capacity to overcome the repeaterless bound of SKG. We compare the performance of our device against a QS-NLA for the aforementioned applications, and highlight explicitly the operating conditions under which our device can outperform a QS-NLA. The proposed device is also suitable for applications in the optical domain.
微波量子信息网络需要在有损信道上可靠地传输单光子传播模式。在本文中,我们提出了一种微波无噪声线性放大器(NLA),适用于规避飞行光子在振幅阻尼信道(ADC)中产生的损耗。所提议的模型是通过工程设计一个简单的一维四节点簇状态来构建的。与基于量子剪刀(QS)的传统 NLA 不同,它无需光子数解析探测器就能实现单光子放大。构成器件簇的节点之间的纠缠是通过受控相位门实现的。此外,光子测量由量子非爆破探测器实现,该探测器目前已成为电路量子电动力学工具箱的一部分。我们通过考虑探测低效率和暗计数概率,实际分析了我们设备的性能。我们进一步研究了我们的设备在低功耗量子传感应用和远程密钥生成(SKG)中的潜在用途。具体来说,我们展示了该设备离线准备无损耗资源的能力,以及克服 SKG 无中继约束的能力。在上述应用中,我们比较了我们的设备与 QS-NLA 的性能,并明确强调了我们的设备优于 QS-NLA 的工作条件。我们提出的设备也适用于光领域的应用。
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引用次数: 0
Noise Robustness of Quantum Relaxation for Combinatorial Optimization 组合优化量子松弛的噪声鲁棒性
Pub Date : 2024-08-06 DOI: 10.1109/TQE.2024.3439135
Kentaro Tamura;Yohichi Suzuki;Rudy Raymond;Hiroshi C. Watanabe;Yuki Sato;Ruho Kondo;Michihiko Sugawara;Naoki Yamamoto
Relaxation is a common way for dealing with combinatorial optimization problems. Quantum random-access optimization (QRAO) is a quantum-relaxation-based optimizer that uses fewer qubits than the number of bits in the original problem by encoding multiple variables per qubit using quantum random-access code (QRAC). Reducing the number of qubits will alleviate physical noise (typically, decoherence), and as a result, the quality of the binary solution of QRAO may be robust against noise, which is, however, unknown. In this article, we numerically demonstrate that the mean approximation ratio of the (3, 1)-QRAC Hamiltonian, i.e., the Hamiltonian utilizing the encoding of three bits into one qubit by QRAC, is less affected by noise compared with the conventional Ising Hamiltonian used in the quantum annealer and the quantum approximate optimization algorithm. Based on this observation, we discuss a plausible mechanism behind the robustness of QRAO under depolarizing noise. Finally, we assess the number of shots required to estimate the values of binary variables correctly under depolarizing noise and show that the (3, 1)-QRAC Hamiltonian requires less shots to achieve the same accuracy compared with the Ising Hamiltonian.
松弛是处理组合优化问题的常用方法。量子随机存取优化(QRAO)是一种基于量子松弛的优化器,它通过量子随机存取码(QRAC)对每个量子比特的多个变量进行编码,使用的量子比特数少于原始问题的比特数。减少量子比特数将减轻物理噪声(通常是退相干),因此,QRAO 的二进制解的质量可能对噪声具有鲁棒性,但这一点尚不清楚。在本文中,我们从数值上证明了(3, 1)-QRAC 哈密顿,即利用 QRAC 将三个比特编码成一个量子比特的哈密顿,与量子退火器和量子近似优化算法中使用的传统伊辛哈密顿相比,其平均近似率受噪声的影响较小。基于这一观察结果,我们讨论了 QRAO 在去极化噪声下的鲁棒性背后的合理机制。最后,我们评估了在去极化噪声条件下正确估计二进制变量值所需的击球次数,结果表明与 Ising Hamiltonian 相比,(3, 1)-QRAC Hamiltonian 需要更少的击球次数就能达到相同的精度。
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引用次数: 0
Resource Placement for Rate and Fidelity Maximization in Quantum Networks 量子网络中实现速率和保真度最大化的资源分配
Pub Date : 2024-07-23 DOI: 10.1109/TQE.2024.3432390
Shahrooz Pouryousef;Hassan Shapourian;Alireza Shabani;Ramana Kompella;Don Towsley
Existing classical optical network infrastructure cannot be immediately used for quantum network applications due to photon loss. The first step toward enabling quantum networks is the integration of quantum repeaters into optical networks. However, the expenses and intrinsic noise inherent in quantum hardware underscore the need for an efficient deployment strategy that optimizes the placement of quantum repeaters and memories. In this article, we present a comprehensive framework for network planning, aiming to efficiently distribute quantum repeaters across existing infrastructure, with the objective of maximizing quantum network utility within an entanglement distribution network. We apply our framework to several cases including a preliminary illustration of a dumbbell network topology and real-world cases of the SURFnet and ESnet. We explore the effect of quantum memory multiplexing within quantum repeaters, as well as the influence of memory coherence time on quantum network utility. We further examine the effects of different fairness assumptions on network planning, uncovering their impacts on real-time network performance.
由于光子损耗,现有的经典光网络基础设施无法立即用于量子网络应用。实现量子网络的第一步是将量子中继器集成到光网络中。然而,量子硬件固有的费用和内在噪声突出表明,需要一种能优化量子中继器和存储器位置的高效部署策略。在本文中,我们提出了一个全面的网络规划框架,旨在将量子中继器有效地分布在现有的基础设施中,从而在纠缠分发网络中实现量子网络效用的最大化。我们将框架应用于多个案例,包括哑铃型网络拓扑的初步说明以及 SURFnet 和 ESnet 的实际案例。我们探索了量子中继器内量子存储器复用的效果,以及存储器相干时间对量子网络效用的影响。我们进一步研究了不同公平性假设对网络规划的影响,揭示了它们对实时网络性能的影响。
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引用次数: 0
Superconducting Nanostrip Photon-Number-Resolving Detector as an Unbiased Random Number Generator 作为无偏随机数发生器的超导纳米带光子数字解析探测器
Pub Date : 2024-07-22 DOI: 10.1109/TQE.2024.3432070
Pasquale Ercolano;Mikkel Ejrnaes;Ciro Bruscino;Syed Muhammad Junaid Bukhari;Daniela Salvoni;Chengjun Zhang;Jia Huang;Hao Li;Lixing You;Loredana Parlato;Giovanni Piero Pepe
Detectors capable of resolving the number of photons are essential in many applications, ranging from classic photonics to quantum optics and quantum communication. In particular, photon-number-resolving detectors based on arrays of superconducting nanostrips can offer a high detection efficiency, a low dark count rate, and a recovery time of a few nanoseconds. In this work, we use a detector of this kind for the unbiased generation of random numbers by following two different methods based on the detection of photons. In the former, we exploit the property that the light is equally distributed on each strip of the entire detector, whereas in the latter, we exploit the fact that, for a high average number of photons, the parity of the Poisson distribution of the number of photons emitted by the laser tends to be zero. In addition, since these two methods are independent, it is possible to use them at the same time.
从传统光子学到量子光学和量子通信,能够分辨光子数量的探测器在许多应用中都是必不可少的。特别是基于超导纳米条阵列的光子数量分辨探测器,可以提供高探测效率、低暗计数率和几纳秒的恢复时间。在这项工作中,我们利用这种探测器,通过两种不同的光子探测方法,无偏地生成随机数。在前者中,我们利用了光在整个探测器的每个条带上平均分布的特性,而在后者中,我们利用了这样一个事实,即对于高平均光子数,激光发射的光子数的泊松分布的奇偶性趋向于零。此外,由于这两种方法是独立的,因此可以同时使用。
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引用次数: 0
期刊
IEEE Transactions on Quantum Engineering
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