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Generative Quantum Machine Learning 生成量子机器学习
Pub Date : 2021-11-24 DOI: 10.3929/ETHZ-B-000514692
Christa Zoufal
The goal of generative machine learning is to model the probability distribution underlying a given data set. This probability distribution helps to characterize the generation process of the data samples. While classical generative machine learning is solely based on classical resources, generative quantum machine learning can also employ quantum resources - such as parameterized quantum channels and quantum operators - to learn and sample from the probability model of interest. Applications of generative (quantum) models are multifaceted. The trained model can generate new samples that are compatible with the given data and extend the data set. Additionally, learning a model for the generation process of a data set may provide interesting information about the corresponding properties. With the help of quantum resources, the respective generative models have access to functions that are difficult to evaluate with a classical computer and may improve the performance or lead to new insights. Furthermore, generative quantum machine learning can be applied to efficient, approximate loading of classical data into a quantum state which may help to avoid - potentially exponentially - expensive, exact quantum data loading. The aim of this doctoral thesis is to develop new generative quantum machine learning algorithms, demonstrate their feasibility, and analyze their performance. Additionally, we outline their potential application to efficient, approximate quantum data loading. More specifically, we introduce a quantum generative adversarial network and a quantum Boltzmann machine implementation, both of which can be realized with parameterized quantum circuits. These algorithms are compatible with first-generation quantum hardware and, thus, enable us to study proof of concept implementations not only with numerical quantum simulations but also real quantum hardware available today.
生成式机器学习的目标是对给定数据集的概率分布进行建模。这种概率分布有助于描述数据样本的生成过程。经典生成式机器学习完全基于经典资源,而生成式量子机器学习也可以利用量子资源(如参数化量子通道和量子算子)从感兴趣的概率模型中学习和采样。生成(量子)模型的应用是多方面的。训练后的模型可以生成与给定数据兼容的新样本,并扩展数据集。此外,学习数据集生成过程的模型可能会提供有关相应属性的有趣信息。在量子资源的帮助下,各自的生成模型可以访问难以用经典计算机评估的函数,并可能提高性能或导致新的见解。此外,生成式量子机器学习可以应用于高效、近似地将经典数据加载到量子状态,这可能有助于避免(可能呈指数级)昂贵的精确量子数据加载。本博士论文的目的是开发新的生成式量子机器学习算法,论证其可行性,并分析其性能。此外,我们概述了它们在高效、近似量子数据加载方面的潜在应用。更具体地说,我们介绍了一种量子生成对抗网络和一种量子玻尔兹曼机实现,两者都可以通过参数化量子电路实现。这些算法与第一代量子硬件兼容,因此,我们不仅可以用数值量子模拟,还可以用当今可用的真实量子硬件来研究概念实现的证明。
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引用次数: 5
A Wave Nature-Based Interpretation of The Nonclassical Feature of Photon Bunching On A Beam Splitter 分束器上光子聚束非经典特征的波性质解释
Pub Date : 2021-10-12 DOI: 10.21203/rs.3.rs-1062358/v1
B. Ham
Born’s rule is key to understanding quantum mechanics based on the probability amplitude for the measurement process of a physical quantity. Based on a typical particle nature of a photon, the quantum feature of photon bunching on a beam splitter between two output photons can be explained by Born’s rule even without clear definition of the relative phase between two input photons. Unlike conventional understanding on this matter, known as the Hong-Ou-Mandel effect, here, we present a new interpretation based on the wave nature of a photon, where the quantum feature of photon bunching is explained through phase basis superposition of the beam splitter. A Mach-Zehnder interferometer is additionally presented to support the correctness of the presented method. As a result, our limited understanding of the quantum feature is deepened via phase basis superposition regarding the destructive quantum interference. Thus, the so-called ‘mysterious’ quantum feature is now clarified by both the definite phase relationship between paired photons and a new term of the phase basis superposition of an optical system.
波恩规则是理解基于物理量测量过程的概率振幅的量子力学的关键。基于光子的典型粒子性质,即使输入光子之间的相对相位没有明确的定义,分束器上两个输出光子之间的光子聚束的量子特性也可以用玻恩规则来解释。不同于对这一问题的传统理解,即Hong-Ou-Mandel效应,在这里,我们提出了一种基于光子波动性质的新解释,其中光子聚束的量子特征是通过分束器的相基叠加来解释的。此外,还提出了一个马赫-曾德尔干涉仪来支持所提出方法的正确性。因此,通过相基叠加加深了我们对破坏性量子干涉的量子特征的有限理解。因此,所谓的“神秘的”量子特征现在被澄清了,既确定了成对光子之间的相位关系,也澄清了光学系统的相基叠加的新术语。
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引用次数: 2
The Future of Quantum Theory: A Way Out of the Impasse 量子理论的未来:走出僵局的出路
Pub Date : 2021-09-02 DOI: 10.3929/ETHZ-B-000503781
G. Fourny
In this letter, we point to three widely accepted challenges that the quantum theory, quantum information, and quantum foundations communities are currently facing: indeterminism, the semantics of conditional probabilities, and the spooky action at a distance. We argue that these issues are fundamentally rooted in conflations commonly made between causal dependencies, counterfactual dependencies, and statistical dependencies. We argue that a simple, albeit somewhat uncomfortable shift of viewpoint leads to a way out of the impossibility to extend the theory beyond indeterminism, and towards the possibility that sound extensions of quantum theory, possibly even deterministic yet not super-deterministic, will emerge in the future. The paradigm shift, which we present here, involves a non-trivial relaxation of the commonly accepted mathematical definition of free choice, leading to non-Nashian free choice, more care with the choice of probabilistic notations, and more rigorous use of vocabulary related to causality, counterfactuals, and correlations, which are three concepts of a fundamentally different nature.
在这封信中,我们指出了量子理论、量子信息和量子基础社区目前面临的三个广泛接受的挑战:非决定论、条件概率的语义和幽灵般的超距作用。我们认为,这些问题从根本上根植于因果依赖关系、反事实依赖关系和统计依赖关系之间的合并。我们认为,一个简单的,尽管有些不舒服的观点转变导致了一条出路,使理论超越非决定论的不可能性,并朝着量子理论的合理扩展的可能性,甚至可能是确定性的,但不是超确定性的,将在未来出现。我们在这里提出的范式转变涉及对普遍接受的自由选择的数学定义的非琐碎的放松,导致非纳什自由选择,更注意概率符号的选择,以及更严格地使用与因果关系,反事实和相关性相关的词汇,这是三个本质上不同的概念。
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引用次数: 0
Partial Measurements of Quantum Systems 量子系统的部分测量
Pub Date : 2021-08-17 DOI: 10.7936/6F01-VJ63
J. Monroe
Projective measurement is a commonly used assumption in quantum mechanics. However, advances in quantum measurement techniques allow for partial measurements, which accurately estimate state information while keeping the wavefunction intact. In this dissertation, we employ partial measurements to study two phenomena. First, we investigate an uncertainty relation -- in the style of Heisenberg's 1929 thought experiment -- which includes partial measurements in addition to projective measurements. We find that a weak partial measurement can decrease the uncertainty between two incompatible (non-commuting) observables. In the second study, we investigate the foundation of irreversible dynamics resulting from partial measurements. We do so by comparing the forward and time-reversed probabilities of measurement outcomes resulting from post-selected feedback protocols with both causal and reversed-causal order. We find that the statistics of partial measurements produce entropy in accordance with generalized second laws of thermodynamics. We perform these experiments using superconducting qubits. This dissertation also describes the fabrication process for these devices and details a novel fabrication technique that allows fast, single-step lithography of Josephson-junction superconducting circuits. The technique simplifies processing by utilizing a direct-write photolithography system, in contrast to traditional electron-beam lithography. Despite their large lithographic area, Josephson junctions made with this method have low critical currents and high coherence times.
射影测量是量子力学中常用的假设。然而,量子测量技术的进步允许部分测量,在保持波函数完整的情况下准确地估计状态信息。在本文中,我们采用部分测量来研究两种现象。首先,我们以海森堡1929年思想实验的方式研究了一种不确定性关系,除了投影测量外,还包括部分测量。我们发现弱部分测量可以降低两个不相容(不可交换)观测值之间的不确定度。在第二项研究中,我们研究了由部分测量引起的不可逆动力学的基础。我们通过比较因果顺序和反向因果顺序的后选择反馈协议产生的测量结果的正向和时间反向概率来做到这一点。我们发现部分测量的统计量根据广义热力学第二定律产生熵。我们使用超导量子比特进行这些实验。本文还描述了这些器件的制造过程,并详细介绍了一种新的制造技术,该技术可以实现约瑟夫森结超导电路的快速单步光刻。与传统的电子束光刻相比,该技术通过使用直接写入光刻系统简化了处理过程。尽管其光刻面积大,但用这种方法制成的约瑟夫森结具有低临界电流和高相干时间。
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引用次数: 1
Emergence of the Classical from within the Quantum Universe 经典从量子宇宙中涌现
Pub Date : 2021-07-07 DOI: 10.1007/978-3-030-88781-0_2
W. Zurek
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引用次数: 7
Quantum interference between independent solid-state single-photon sources separated by 300 km fiber 相隔300公里光纤的独立固态单光子源之间的量子干涉
Pub Date : 2021-06-29 DOI: 10.21203/RS.3.RS-691995/V1
Xiang You, Mingyang Zheng, Si Chen, Run-Ze Liu, J. Qin, Mo-Chi Xu, Zhenbin Ge, T. Chung, Yu-Kun Qiao, Yang-Fan Jiang, Han-Sen Zhong, Ming-Cheng Chen, Hui Wang, Yu-Ming He, Xiuping Xie, Hao Li, L. You, C. Schneider, Juan Yin, Teng-Yun Chen, M. Benyoucef, Y. Huo, S. Höfling, Qiang Zhang, Chaoyang Lu, Jian-Wei Pan
In the quest to realize a scalable quantum network, semiconductor quantum dots (QDs) offer distinct advantages including high single-photon efficiency and indistinguishability, high repetition rate (tens of GHz with Purcell enhancement), interconnectivity with spin qubits, and a scalable on-chip platform. However, in the past two decades, the visibility of quantum interference between independent QDs rarely went beyond the classical limit of 50% and the distances were limited from a few meters to kilometers. Here, we report quantum interference between two single photons from independent QDs separated by 302 km optical fiber. The single photons are generated from resonantly driven single QDs deterministically coupled to microcavities. Quantum frequency conversions are used to eliminate the QD inhomogeneity and shift the emission wavelength to the telecommunication band. The observed interference visibility is 0.67pm0.02 (0.93pm0.04) without (with) temporal filtering. Feasible improvements can further extend the distance to ~600 km. Our work represents a key step to long-distance solid-state quantum networks.
在实现可扩展量子网络的过程中,半导体量子点(QDs)具有明显的优势,包括高单光子效率和不可区分性,高重复率(Purcell增强的数十GHz),与自旋量子比特的互连性以及可扩展的片上平台。然而,在过去的二十年里,独立量子点之间的量子干涉可见度很少超过50%的经典极限,距离也被限制在几米到几公里之间。在这里,我们报道了由302公里光纤分隔的独立量子点的两个单光子之间的量子干涉。单光子是由共振驱动的单量子点与微腔确定性耦合产生的。利用量子频率转换消除量子点的不均匀性,并将发射波长移至电信波段。观测到的干扰可见度为0.67pm0.02(无时间滤波时0.93pm0.04)。可行的改进可以进一步将距离延长到~600公里。我们的工作代表了长距离固态量子网络的关键一步。
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引用次数: 10
Measurement of Entropy and Quantum Coherence Properties of Two Type-I Entangled Photonic Qubits 两个i型纠缠光子量子比特的熵和量子相干性测量
Pub Date : 2021-06-11 DOI: 10.21203/RS.3.RS-597657/V1
M. A., Madani Sa, Vayaghan Ns
Using the type-I SPDC process in BBO nonlinear crystal (NLC), we generate a polarization-entangled state near to the maximally-entangled Bell-state with high-visibility $ 98.50 pm 1.33 ~ % $ ($ 87.71 pm 4.45 ~ % $) for HV (DA) basis. We calculate the CHSH version of the Bell inequality, as a nonlocal realism test, and find a strong violation from the classical physics or any hidden variable theory (HVT), $ S= 2.71 pm 0.10 $. Via measuring the coincidence count (CC) rate in the SPDC process, we obtain the quantum efficiency of single-photon detectors (SPDs) around $ (25.5pm 3.4) % $, which is in good agreement to their manufacturer company. As expected, we verify the linear dependency of the CC rate vs. pump power of input CW-laser, which may yield to find the effective second-order susceptibility crystal. Using the theory of the measurement of qubits, includes a tomographic reconstruction of quantum states due to the linear set of 16 polarization-measurement, together with a maximum-likelihood-technique (MLT), which is based on the numerical optimization, we calculate the physical non-negative definite density matrices, which implies on the non-separability and entanglement of prepared state. By having the maximum likelihood density operator, we calculate precisely the entanglement measures such as Concurrence, entanglement of formation, tangle, logarithmic negativity, and different entanglement entropies such as linear entropy, Von-Neumann entropy, and Renyi 2-entropy.
利用BBO非线性晶体(NLC)的i型SPDC工艺,我们在HV (DA)基上产生了接近最大纠缠贝尔态的高可见度偏振纠缠态$ 98.50 pm 1.33 ~ % $ ($ 87.71 pm 4.45 ~ % $)。我们计算了CHSH版本的贝尔不等式,作为一个非局部实在性检验,并发现了经典物理或任何隐变量理论(HVT)的强烈违反,$ S= 2.71 pm 0.10 $。通过测量SPDC过程中的符合计数(CC)率,我们得到单光子探测器(SPDs)的量子效率约为$ (25.5pm 3.4) % $,这与制造商的结果很吻合。正如预期的那样,我们验证了CC率与输入cw激光的泵浦功率的线性关系,这可能有助于找到有效的二阶磁化率晶体。利用量子比特测量理论,利用16个偏振测量的线性集对量子态进行层析重建,并结合基于数值优化的最大似然技术(MLT),计算出物理上的非负定密度矩阵,这意味着制备态的不可分性和纠缠性。通过最大似然密度算子,我们精确地计算了纠缠度量,如并发、纠缠形成、纠缠、对数负性,以及不同的纠缠熵,如线性熵、冯-诺伊曼熵和Renyi 2-熵。
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引用次数: 0
Iterative qubit-excitation based variational quantum eigensolver 基于迭代量子位激励的变分量子特征解算器
Pub Date : 2021-04-19 DOI: 10.21203/RS.3.RS-404173/V1
Y. Yordanov, V. Armaos, C. Barnes, D. Arvidsson-Shukur
Molecular simulations with the variational quantum eigensolver (VQE) are a promising application for emerging noisy intermediate-scale quantum computers.Constructing accurate molecular ansatze that are easy to optimize and implemented by shallow quantum circuits is crucial for the successful implementation of such simulations. Ansatze are, generally, constructed asseries of fermionic-excitation evolutions.Instead, we demonstrate the usefulness of constructing ansatze with ``qubit-excitation evolutions', which, contrary to fermionic excitation evolutions, obey ``qubit commutation relations'.We show that qubit excitation evolutions, despite the lack of some of the physical features of fermionic excitation evolutions, accurately construct ansatze, while requiring asymptoticallyfewer gates.Utilizing qubit excitation evolutions, we introduce the iterative qubit excitation based VQE (IQEB-VQE) algorithm.The IQEB-VQE performs molecular simulations using a problem-tailored ansatz, grown iteratively by appending evolutions of single and double qubit excitation operators.By performing numerical simulations for small molecules, we benchmark the IQEB-VQE, and compare it against other competitive VQE algorithms.In terms of circuit efficiency and time complexity, we find that the IQEB-VQE systematically outperforms the previously most circuit-efficient, practically scalable VQE algorithms.
变分量子特征求解器(VQE)在新兴的噪声中等规模量子计算机中是一个很有前途的应用。构建易于优化和由浅量子电路实现的精确分子分析对于成功实现此类模拟至关重要。Ansatze通常被构造为一系列费米子激发演化。相反,我们证明了用“量子位激发演化”构造解析的有效性,它与费米子激发演化相反,服从“量子位对易关系”。我们表明,尽管量子比特激发演化缺乏费米子激发演化的一些物理特征,但它可以准确地构建ansatze,同时需要的门数渐近减少。利用量子比特激励演化,提出了基于迭代量子比特激励的VQE算法(IQEB-VQE)。IQEB-VQE使用问题定制的ansatz进行分子模拟,通过附加单量子比特和双量子比特激发算子的进化迭代生长。通过对小分子进行数值模拟,我们对IQEB-VQE进行了基准测试,并将其与其他竞争对手的VQE算法进行了比较。在电路效率和时间复杂度方面,我们发现IQEB-VQE系统地优于以前最有效的电路效率,实际可扩展的VQE算法。
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引用次数: 11
Enhanced-coherence all-nitride superconducting qubit epitaxially grown on Si substrate 在硅衬底外延生长的增强相干全氮超导量子比特
Pub Date : 2021-03-24 DOI: 10.21203/RS.3.RS-343585/V1
Sunmi Kim, H. Terai, T. Yamashita, W. Qiu, T. Fuse, F. Yoshihara, S. Ashhab, K. Inomata, K. Semba
We have developed superconducting qubits based on NbN/AlN/NbN epitaxial Josephson junctions on Si substrates which promise to overcome the drawbacks of qubits based on Al/AlOx/Al junctions. The all-nitride qubits have great advantages such as chemical stability against oxidation (resulting in fewer two-level fluctuators), feasibility for epitaxial tunnel barriers (further reducing energy relaxation and dephasing), and a larger superconducting gap of ~ 5.2 meV for NbN compared to ~ 0.3 meV for Al (suppressing the excitation of quasiparticles). Replacing conventional MgO by a Si substrate with a TiN buffer layer for epitaxial growth of nitride junctions, we demonstrate a qubit energy relaxation time ({T}_{1}=16.3 {mu }text{s}) and a spin-echo dephasing time ({T}_{2}=21.5 {mu }text{s}). These significant improvements in quantum coherence are explained by the reduced dielectric loss compared to previously reported NbN-based qubits with MgO substrates (({T}_{1}approx {T}_{2}approx 0.5 {mu }text{s})). These results are an important step towards constructing a new platform for superconducting quantum hardware.
我们在Si衬底上开发了基于NbN/AlN/NbN外延约瑟夫森结的超导量子比特,有望克服基于Al/AlOx/Al结的量子比特的缺点。全氮量子比特具有很大的优势,例如抗氧化的化学稳定性(导致更少的双能级波动),外延隧道势垒的可行性(进一步减少能量弛豫和去相),NbN的超导间隙比Al的大5.2 meV(抑制准粒子的激发)。在氮化结的外延生长中,用TiN缓冲层取代传统的MgO衬底,我们证明了量子比特的能量松弛时间({T}_{1}=16.3 {mu }text{s})和自旋回波消相时间({T}_{2}=21.5 {mu }text{s})。量子相干性的这些显著改进可以解释为与先前报道的具有MgO衬底的基于nbn的量子位相比,介电损耗降低(({T}_{1}approx {T}_{2}approx 0.5 {mu }text{s}))。这些结果是构建超导量子硬件新平台的重要一步。
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引用次数: 8
Modelling Markovian light-matter interactions for quantum optical devices in the solid state 模拟固态量子光学器件的马尔可夫光-物质相互作用
Pub Date : 2021-03-22 DOI: 10.11575/PRISM/38687
S. Wein
The desire to understand the interaction between light and matter has stimulated centuries of research, leading to technological achievements that have shaped our world. One contemporary frontier of research into light-matter interaction considers regimes where quantum effects dominate. By understanding and manipulating these quantum effects, a vast array of new quantum-enhanced technologies become accessible. In this thesis, I explore and analyze fundamental components and processes for quantum optical devices with a focus on solid-state quantum systems. This includes indistinguishable single-photon sources, deterministic sources of entangled photonic states, photon-heralded entanglement generation between remote quantum systems, and deterministic optically-mediated entangling gates between local quantum systems. For this analysis, I make heavy use of an analytic quantum trajectories approach applied to a general Markovian master equation of an optically-active quantum system, which I introduce as a photon-number decomposition. This approach allows for many realistic system imperfections, such as emitter pure dephasing, spin decoherence, and measurement imperfections, to be taken into account in a straightforward and comprehensive way.
了解光与物质之间相互作用的愿望激发了几个世纪的研究,导致了塑造我们世界的技术成就。光-物质相互作用的一个当代前沿研究考虑了量子效应占主导地位的制度。通过理解和操纵这些量子效应,大量新的量子增强技术变得触手可及。在本文中,我探索和分析量子光学器件的基本组件和过程,重点是固态量子系统。这包括不可区分的单光子源、纠缠光子态的确定性源、远程量子系统之间的光子预示纠缠产生,以及局部量子系统之间的确定性光介导纠缠门。对于这一分析,我大量使用了一种解析量子轨迹方法,该方法应用于光活性量子系统的一般马尔可夫主方程,我将其引入光子数分解。这种方法允许以一种直接和全面的方式考虑许多现实的系统缺陷,例如发射极纯失相,自旋退相干和测量缺陷。
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引用次数: 2
期刊
arXiv: Quantum Physics
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