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Statistical Complexity of Quantum Learning 量子学习的统计复杂性
Pub Date : 2024-04-15 DOI: 10.1002/qute.202300311
Leonardo Banchi, Jason Luke Pereira, Sharu Theresa Jose, Osvaldo Simeone
Learning problems involve settings in which an algorithm has to make decisions based on data, and possibly side information such as expert knowledge. This study has two main goals. First, it reviews and generalizes different results on the data and model complexity of quantum learning, where the data and/or the algorithm can be quantum, focusing on information‐theoretic techniques. Second, it introduces the notion of copy complexity, which quantifies the number of copies of a quantum state required to achieve a target accuracy level. Copy complexity arises from the destructive nature of quantum measurements, which irreversibly alter the state to be processed, limiting the information that can be extracted about quantum data. As a result, empirical risk minimization is generally inapplicable. The paper presents novel results on the copy complexity for both training and testing. To make the paper self‐contained and approachable by different research communities, an extensive background material is provided on classical results from statistical learning theory, as well as on the distinguishability of quantum states. Throughout, the differences between quantum and classical learning are highlighted by addressing both supervised and unsupervised learning, and extensive pointers are provided to the literature.
学习问题涉及算法必须根据数据以及可能的辅助信息(如专家知识)做出决策的设置。这项研究有两个主要目标。首先,它回顾并归纳了关于量子学习的数据和模型复杂性的不同结果,其中数据和/或算法可以是量子的,重点是信息论技术。其次,它引入了拷贝复杂度的概念,即量化达到目标精度水平所需的量子态拷贝数量。拷贝复杂性源于量子测量的破坏性,量子测量会不可逆地改变要处理的状态,从而限制了可以提取的量子数据信息。因此,经验风险最小化通常并不适用。本文提出了训练和测试副本复杂度的新结果。为了使本文自成一体,并能为不同研究领域所用,本文提供了大量背景材料,介绍了统计学习理论的经典结果以及量子态的可区分性。通过探讨监督学习和无监督学习,本文突出了量子学习与经典学习之间的差异,并提供了大量文献索引。
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引用次数: 0
Framework for Engineering of Spin Defects in Hexagonal Boron Nitride by Focused Ion Beams 聚焦离子束在六方氮化硼中制造自旋缺陷的框架
Pub Date : 2024-03-23 DOI: 10.1002/qute.202300459
Madeline Hennessey, Benjamin Whitefield, Angus Gale, Mehran Kianinia, John A. Scott, Igor Aharonovich, Milos Toth
Hexagonal boron nitride (hBN) is gaining interest as a wide bandgap van der Waals host of optically active spin defects for quantum technologies. Most studies of the spin‐photon interface in hBN focus on the negatively charged boron vacancy (VB) defect, which is typically fabricated by ion irradiation. However, the applicability and wide deployment of VB defects is limited by VB fabrication methods which lack robustness and reproducibility, particularly when applied to thin flakes (≲10 nm) of hBN. Here, two key factors are elucidated that underpin the formation and quenching of VB centers by ion irradiation—density of defects generated in the hBN lattice and recoil‐implantation of foreign atoms into hBN. Critically, it is shown that the latter is extremely efficient at inhibiting the generation of optically‐active VB centers. This is significant because foreign atoms such as carbon are commonplace on both the top and bottom surfaces of hBN during ion irradiation, in the form of hydrocarbon contaminants, polymer residues from hBN transfer methods, protective capping layers and substrates. Recoil implantation must be accounted for when selecting ion beam parameters such as ion mass, energy, fluence, incidence angle, and sputter/span yield, which are discussed in the context of a framework for VB generation by high‐resolution focused ion beam (FIB) systems.
六方氮化硼(hBN)作为一种用于量子技术的宽带隙范德瓦耳斯光学活性自旋缺陷宿主,正受到越来越多的关注。对六方氮化硼中自旋光子界面的大多数研究都集中在带负电的硼空位(VB-)缺陷上,这种缺陷通常是通过离子辐照制造的。然而,VB-缺陷的适用性和广泛应用受到 VB-制造方法的限制,因为 VB-制造方法缺乏稳健性和可重复性,尤其是在应用于薄片(≲10 nm)氢化硼时。本文阐明了离子照射 VB 中心形成和淬灭的两个关键因素--氢化硼晶格中产生的缺陷密度和外来原子植入氢化硼的反冲。重要的是,研究表明后者在抑制光学活性 VB 中心的生成方面非常有效。这一点意义重大,因为在离子辐照过程中,碳等外来原子会以碳氢化合物污染物、氢化硼转移方法产生的聚合物残留物、保护盖层和基底的形式出现在氢化硼的上下表面。在选择离子束参数(如离子质量、能量、通量、入射角和溅射/跨度产率)时,必须考虑反冲植入问题,本文将在高分辨率聚焦离子束 (FIB) 系统产生 VB 的框架内讨论这一问题。
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引用次数: 0
In‐Network Quantum Computing for Future 6G Networks 面向未来 6G 网络的网内量子计算
Pub Date : 2024-03-11 DOI: 10.1002/qute.202300334
Helen Urgelles, Shivam Maheshwari, Swaraj Shekhar Nande, Riccardo Bassoli, Frank H.P. Fitzek, Jose F. Monserrat
In light of the imperative for expeditious data processing and enhanced global connectivity, the domain of communication technology is experiencing a rapid progression from the Fifth Generation (5G) to the forthcoming Sixth Generation (6G) within the research community. Furthermore, 6G promises to significantly augment the synergy between the human, digital, and physical realms, thereby necessitating the formulation of novel Key Performance Indicators (KPIs) as well as Key Values Indicators (KVIs), and the assimilation of commensurate technologies. Among these technologies, quantum computing is evolving rapidly due to its inherent advantages from quantum mechanics. Nevertheless, scant attention is directed toward a comprehensive exploration of the consequences attendant to its present‐day application. The principal objective of this article resides in its endeavor to underscore, from a compensatory perspective, the convergence of 6G and quantum computing while concurrently considering the Sustainable Development Goals and its KVIs.
鉴于加快数据处理和加强全球连接的必要性,通信技术领域正在经历从第五代(5G)到即将到来的第六代(6G)的快速发展。此外,6G 将极大地增强人类、数字和物理领域之间的协同作用,因此有必要制定新的关键性能指标(KPI)和关键价值指标(KVI),并吸收相应的技术。在这些技术中,量子计算因其量子力学的固有优势而发展迅速。然而,人们却很少关注对其当今应用所带来的后果进行全面探讨。本文的主要目的在于努力从补偿角度强调 6G 与量子计算的融合,同时考虑可持续发展目标及其关键绩效指标。
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引用次数: 0
Telecom-Band Quantum Dots Compatible with Silicon Photonics for Photonic Quantum Applications 与硅光子技术兼容的电信带量子点,用于光子量子应用
Pub Date : 2024-02-26 DOI: 10.1002/qute.202300423
Ryota Katsumi, Yasutomo Ota, Mohamed Benyoucef
Silicon photonics is promising for quantum photonics applications owing to its large-scale and high-performance circuitry enabled by complementary-metal-oxide-semiconductor fabrication processes. However, there is a lack of bright single-photon sources (SPSs) capable of deterministic operation on Si platforms, which largely limits their applications. To this end, on-Si integration of high-performance solid-state quantum emitters, such as semiconductor quantum dots (QDs), is greatly desired. In particular, it is preferable to integrate SPSs emitting at telecom wavelengths for fully leveraging the power of silicon photonics, including efficient chip-to-fiber coupling. In this review, recent progress and challenges in the integration of telecom QD SPSs onto silicon photonic platforms are discussed.
由于互补金属氧化物半导体制造工艺实现了大规模和高性能电路,硅光子学在量子光子学应用中大有可为。然而,在硅平台上缺乏能够确定性运行的明亮单光子源(SPS),这在很大程度上限制了它们的应用。为此,人们迫切希望在硅上集成高性能固态量子发射器,如半导体量子点(QDs)。特别是,最好能集成发射电信波长的 SPS,以充分发挥硅光子学的威力,包括高效的芯片到光纤耦合。本综述讨论了在硅光子平台上集成电信 QD SPS 的最新进展和挑战。
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引用次数: 0
Toward Useful Quantum Kernels 实现有用的量子内核
Pub Date : 2024-02-17 DOI: 10.1002/qute.202300298
Massimiliano Incudini, Francesco Martini, Alessandra Di Pierro
Supervised machine learning is a popular approach to the solution of many real-life problems. This approach is characterized by the use of labeled datasets to train algorithms for classifying data or predicting outcomes accurately. The question of the extent to which quantum computation can help improve existing classical supervised learning methods is the subject of intense research in the area of quantum machine learning. The debate centers on whether an advantage can be achieved already with current noisy quantum computer prototypes or it is strictly dependent on the full power of a fault-tolerant quantum computer. The current proposals can be classified into methods that can be suitably implemented on near-term quantum computers but are essentially empirical, and methods that use quantum algorithms with a provable advantage over their classical counterparts but only when implemented on the still unavailable fault-tolerant quantum computer.
监督式机器学习是解决许多现实问题的常用方法。这种方法的特点是使用标注数据集来训练算法,以便对数据进行分类或准确预测结果。量子计算能在多大程度上帮助改进现有的经典监督学习方法,这个问题是量子机器学习领域的热门研究课题。争论的焦点是,目前的噪声量子计算机原型是否已经可以实现优势,还是完全取决于容错量子计算机的全部功能。目前的建议可分为两类:一类是可在近期量子计算机上适当实现但基本上是经验性的方法;另一类是使用量子算法,与经典算法相比具有可证明的优势,但只能在尚不可用的容错量子计算机上实现。
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引用次数: 0
Reference‐Frame‐Independent Mode‐Pairing Quantum Key Distribution with Advantage Distillation 与参考框架无关的模式配对量子密钥分发与优势蒸馏
Pub Date : 2024-02-05 DOI: 10.1002/qute.202300387
Yuemei Li, Zhongqi Sun, Xinhe Liu, Zhenhua Li, Jiaao Li, Haoyang Wang, Kaiyi Shi, Chang Liu, Haiqiang Ma
The coordination between distance and the secure key rate is one of the main challenges in the practical application of quantum key distribution (QKD). Mode‐pairing quantum key distribution is one of the schemes that can surpass the secret key capacity for repeaterless QKD. However, the protocol utilizes phase to encode the information, which leads to the problem of active stabilization in the interferometer. In this paper, a reference‐frame‐independent mode‐pairing quantum key distribution (RFI‐MP‐QKD) is proposed as an effective scheme to solve this problem. Moreover, the performance of the RFI‐MP‐QKD protocol is improved by applying the Advantage Distillation (AD) method in data post‐processing, which separates the highly correlated raw key bits from the weakly correlated information. The simulation results show that the secure key rate of RFI‐MP‐QKD has almost no degradation for reference frame deviation angles of . Compared to RFI‐MP‐QKD without AD method, the AD method decreases the quantum bit error rate from 0.04 to 0.012 and increases the maximum transmission distance from 406 to 450 km. The scheme proposed is expected to facilitate the practical implementation of RFI‐MP‐QKD, especially in cases of concerning reference frame alignment and high channel loss.
距离与安全密钥率之间的协调是量子密钥分发(QKD)实际应用中的主要挑战之一。模式配对量子密钥分发是能够超越无中继器 QKD 密钥容量的方案之一。然而,该协议利用相位对信息进行编码,这导致了干涉仪的主动稳定问题。本文提出了一种与参考帧无关的模式配对量子密钥分配(RFI-MP-QKD),作为解决这一问题的有效方案。此外,通过在数据后处理中应用优势蒸馏(AD)方法,将高度相关的原始密钥比特与弱相关信息分离开来,RFI-MP-QKD 协议的性能得到了提高。仿真结果表明,在参考帧偏差角为.的情况下,RFI-MP-QKD 的安全密钥速率几乎没有下降。 与不使用 AD 方法的 RFI-MP-QKD 相比,AD 方法将量子比特错误率从 0.04 降低到 0.012,最大传输距离从 406 公里增加到 450 公里。所提出的方案有望促进 RFI-MP-QKD 的实际应用,尤其是在参考帧对齐和信道损耗较高的情况下。
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引用次数: 0
Quantum Metrology Assisted by Machine Learning 机器学习辅助量子计量学
Pub Date : 2024-01-24 DOI: 10.1002/qute.202300329
Jiahao Huang, Min Zhuang, Jungeng Zhou, Yi Shen, Chaohong Lee
Quantum metrology aims to measure physical quantities based on fundamental quantum principles, enhancing measurement precision through resources like quantum entanglement and quantum correlations. This field holds promise for advancing quantum-enhanced sensors, including atomic clocks and magnetometers. However, practical constraints exist in the four fundamental steps of quantum metrology, including initialization, sensing, readout, and estimation. Valuable resources, such as coherence time, impose limitations on the performance of quantum sensors. Machine learning, enabling learning and prediction without explicit knowledge, provides a powerful tool in optimizing quantum metrology with limited resources. This article reviews the fundamental principles, potential applications, and recent advancements in quantum metrology assisted by machine learning.
量子计量学旨在根据基本量子原理测量物理量,通过量子纠缠和量子关联等资源提高测量精度。这一领域有望推动量子增强传感器的发展,包括原子钟和磁力计。然而,在量子计量学的四个基本步骤(包括初始化、传感、读出和估计)中存在实际限制。相干时间等宝贵资源对量子传感器的性能造成了限制。机器学习能够在没有明确知识的情况下进行学习和预测,为利用有限资源优化量子计量学提供了有力工具。本文回顾了机器学习辅助量子计量学的基本原理、潜在应用和最新进展。
{"title":"Quantum Metrology Assisted by Machine Learning","authors":"Jiahao Huang, Min Zhuang, Jungeng Zhou, Yi Shen, Chaohong Lee","doi":"10.1002/qute.202300329","DOIUrl":"https://doi.org/10.1002/qute.202300329","url":null,"abstract":"Quantum metrology aims to measure physical quantities based on fundamental quantum principles, enhancing measurement precision through resources like quantum entanglement and quantum correlations. This field holds promise for advancing quantum-enhanced sensors, including atomic clocks and magnetometers. However, practical constraints exist in the four fundamental steps of quantum metrology, including initialization, sensing, readout, and estimation. Valuable resources, such as coherence time, impose limitations on the performance of quantum sensors. Machine learning, enabling learning and prediction without explicit knowledge, provides a powerful tool in optimizing quantum metrology with limited resources. This article reviews the fundamental principles, potential applications, and recent advancements in quantum metrology assisted by machine learning.","PeriodicalId":501028,"journal":{"name":"Advanced Quantum Technologies","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139588958","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Chirped Pulses Meet Quantum Dots: Innovations, Challenges, and Future Perspectives 啁啾脉冲与量子点:创新、挑战与未来展望
Pub Date : 2024-01-09 DOI: 10.1002/qute.202300352
Florian Kappe, Yusuf Karli, Grant Wilbur, Ria G. Krämer, Sayan Ghosh, René Schwarz, Moritz Kaiser, Thomas K. Bracht, Doris E. Reiter, Stefan Nolte, Kimberley C. Hall, Gregor Weihs, Vikas Remesh
Shaped laser pulses have been remarkably effective in investigating various aspects of light–matter interactions spanning a broad range of research. Chirped laser pulses exhibiting a time-varying frequency, or quadratic spectral phase, form a crucial category in the group of shaped laser pulses. This type of pulses have made a ubiquitous presence from spectroscopic applications to developments in high-power laser technology, and from nanophotonics to quantum optical communication, ever since their introduction. In the case of quantum technologies recently, substantial efforts are being invested toward achieving a truly scalable architecture. Concurrently, it is important to develop methods to produce robust photon sources. In this context, semiconductor quantum dots hold great potential, due to their exceptional photophysical properties and on-demand operating nature. Concerning the scalability aspect of semiconductor quantum dots, it is advantageous to develop a simple, yet robust method to generate photon states from it. Chirped pulse excitation has been widely demonstrated as a robust and efficient state preparation scheme in quantum dots, thereby boosting its applicability as a stable photon source in a real-world scenario. Despite the rapid growth and advancements in laser technologies, the generation and control of chirped laser pulses can be demanding. Here, an overview of a selected few approaches is presented to tailor and characterize chirped pulses for the efficient excitation of a quantum dot source. By taking the chirped-pulse-induced adiabatic rapid passage process in quantum dot as an example, numerical design examples are presented along with experimental advantages and challenges in each method and conclude with an outlook on future perspectives.
异形激光脉冲在研究光与物质相互作用的各个方面有着显著的效果,其研究范围十分广泛。啁啾激光脉冲具有时变频率或二次光谱相位,是异形激光脉冲中的一个重要类别。自问世以来,从光谱应用到高功率激光技术的发展,从纳米光子学到量子光通信,这类脉冲无处不在。就量子技术而言,最近正在投入大量精力,以实现真正可扩展的架构。与此同时,重要的是要开发出生产稳健光子源的方法。在这种情况下,半导体量子点因其卓越的光物理特性和按需运行的性质而具有巨大的潜力。考虑到半导体量子点的可扩展性,开发一种简单而稳健的方法来生成光子态是非常有利的。啁啾脉冲激发已被广泛证明是量子点中一种稳健高效的状态制备方案,从而提高了其作为稳定光子源在现实世界中的适用性。尽管激光技术发展迅速、日新月异,但啁啾激光脉冲的产生和控制仍然要求很高。在此,我们将概述几种精选的方法,以定制和表征用于量子点源高效激发的啁啾脉冲。以量子点中啁啾脉冲诱导的绝热快速通过过程为例,介绍了数值设计实例以及每种方法的实验优势和挑战,最后对未来前景进行了展望。
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引用次数: 0
Implementation Security in Quantum Key Distribution 量子密钥分发的实施安全性
Pub Date : 2024-01-07 DOI: 10.1002/qute.202300380
Víctor Zapatero, Álvaro Navarrete, Marcos Curty
The problem of implementation security in quantum key distribution (QKD) refers to the difficulty of meeting the requirements of mathematical security proofs in real-life QKD systems. Here, a succint review is provided on this topic, focusing on discrete-variable QKD setups. Particularly, some of their main vulnerabilities and comments are disscused on possible approaches to overcome them.
量子密钥分发(QKD)的实施安全问题是指在现实生活中的 QKD 系统中难以满足数学安全证明的要求。在此,我们将对这一主题进行简要评述,重点关注离散变量 QKD 设置。特别是其中的一些主要漏洞,以及克服这些漏洞的可能方法。
{"title":"Implementation Security in Quantum Key Distribution","authors":"Víctor Zapatero, Álvaro Navarrete, Marcos Curty","doi":"10.1002/qute.202300380","DOIUrl":"https://doi.org/10.1002/qute.202300380","url":null,"abstract":"The problem of implementation security in quantum key distribution (QKD) refers to the difficulty of meeting the requirements of mathematical security proofs in real-life QKD systems. Here, a succint review is provided on this topic, focusing on discrete-variable QKD setups. Particularly, some of their main vulnerabilities and comments are disscused on possible approaches to overcome them.","PeriodicalId":501028,"journal":{"name":"Advanced Quantum Technologies","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139398578","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Broadband Spectroscopy and Interferometry with Undetected Photons at Strong Parametric Amplification 在强参量放大条件下使用未检测到的光子进行宽带光谱学和干涉测量
Pub Date : 2023-12-24 DOI: 10.1002/qute.202300299
Kazuki Hashimoto, Dmitri B. Horoshko, Maria V. Chekhova
Nonlinear interferometry with entangled photons allows for characterizing a sample without detecting the photons interacting with it. This method enables highly sensitive optical sensing in the wavelength regions where efficient detectors are still under development. Recently, nonlinear interferometry has been applied to interferometric measurement techniques with broadband light sources, such as Fourier-transform infrared spectroscopy and infrared optical coherence tomography. However, they have been demonstrated with photon pairs produced through spontaneous parametric down-conversion (SPDC) at a low parametric gain, where the average number of photons per mode is much smaller than one. The regime of high-gain SPDC offers several important advantages, such as the amplification of light after its interaction with the sample and a large number of photons per mode at the interferometer output. This work presents broadband spectroscopy and high-resolution optical coherence tomography with undetected photons generated via high-gain SPDC in an aperiodically poled lithium niobate crystal. To prove the principle, reflective Fourier-transform near-infrared spectroscopy with a spectral bandwidth of 17 THz and optical coherence tomography with an axial resolution of 11 µm are demonstrated.
利用纠缠光子进行非线性干涉测量,可以在不探测与样品相互作用的光子的情况下确定样品的特性。这种方法可以在高效探测器仍在开发的波长区域实现高灵敏度的光学传感。最近,非线性干涉测量法已被应用于宽带光源干涉测量技术,如傅立叶变换红外光谱和红外光相干断层扫描。不过,这些技术都是在低参数增益条件下通过自发参数下变频(SPDC)产生的光子对进行演示的,在低参数增益条件下,每个模式的平均光子数远远小于 1。高增益 SPDC 机制具有几个重要优势,例如光与样品相互作用后会被放大,以及干涉仪输出端每个模式的光子数较多。这项工作介绍了在非周期性极化铌酸锂晶体中通过高增益 SPDC 产生的未检测光子进行宽带光谱分析和高分辨率光学相干断层扫描的情况。为了证明其原理,演示了光谱带宽为 17 太赫兹的反射式傅立叶变换近红外光谱仪和轴向分辨率为 11 微米的光学相干断层成像仪。
{"title":"Broadband Spectroscopy and Interferometry with Undetected Photons at Strong Parametric Amplification","authors":"Kazuki Hashimoto, Dmitri B. Horoshko, Maria V. Chekhova","doi":"10.1002/qute.202300299","DOIUrl":"https://doi.org/10.1002/qute.202300299","url":null,"abstract":"Nonlinear interferometry with entangled photons allows for characterizing a sample without detecting the photons interacting with it. This method enables highly sensitive optical sensing in the wavelength regions where efficient detectors are still under development. Recently, nonlinear interferometry has been applied to interferometric measurement techniques with broadband light sources, such as Fourier-transform infrared spectroscopy and infrared optical coherence tomography. However, they have been demonstrated with photon pairs produced through spontaneous parametric down-conversion (SPDC) at a low parametric gain, where the average number of photons per mode is much smaller than one. The regime of high-gain SPDC offers several important advantages, such as the amplification of light after its interaction with the sample and a large number of photons per mode at the interferometer output. This work presents broadband spectroscopy and high-resolution optical coherence tomography with undetected photons generated via high-gain SPDC in an aperiodically poled lithium niobate crystal. To prove the principle, reflective Fourier-transform near-infrared spectroscopy with a spectral bandwidth of 17 THz and optical coherence tomography with an axial resolution of 11 µm are demonstrated.","PeriodicalId":501028,"journal":{"name":"Advanced Quantum Technologies","volume":"98 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139035157","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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Advanced Quantum Technologies
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