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Group-theoretic error mitigation enabled by classical shadows and symmetries 通过经典阴影和对称性实现群论误差缓解
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-06-08 DOI: 10.1038/s41534-024-00854-5
Andrew Zhao, Akimasa Miyake

Estimating expectation values is a key subroutine in quantum algorithms. Near-term implementations face two major challenges: a limited number of samples required to learn a large collection of observables, and the accumulation of errors in devices without quantum error correction. To address these challenges simultaneously, we develop a quantum error-mitigation strategy called symmetry-adjusted classical shadows, by adjusting classical-shadow tomography according to how symmetries are corrupted by device errors. As a concrete example, we highlight global U(1) symmetry, which manifests in fermions as particle number and in spins as total magnetization, and illustrate their group-theoretic unification with respective classical-shadow protocols. We establish rigorous sampling bounds under readout errors obeying minimal assumptions, and perform numerical experiments with a more comprehensive model of gate-level errors derived from existing quantum processors. Our results reveal symmetry-adjusted classical shadows as a low-cost strategy to mitigate errors from noisy quantum experiments in the ubiquitous presence of symmetry.

估计期望值是量子算法中的一个关键子程序。近期的实现面临两大挑战:学习大量观测值所需的样本数量有限,以及在没有量子纠错的设备中误差的积累。为了同时应对这些挑战,我们开发了一种称为对称性调整经典阴影的量子纠错策略,根据对称性如何被器件误差破坏来调整经典阴影层析成像。作为一个具体例子,我们强调了全局 U(1) 对称性,它在费米子中表现为粒子数,在自旋中表现为总磁化,并说明了它们与各自经典阴影协议的群论统一。我们建立了符合最小假设的读出误差下的严格采样边界,并利用从现有量子处理器中得出的更全面的门级误差模型进行了数值实验。我们的结果揭示了对称调整经典阴影是一种低成本策略,可以在对称性无处不在的情况下减轻来自噪声量子实验的误差。
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引用次数: 0
Quantum computing quantum Monte Carlo with hybrid tensor network for electronic structure calculations 利用混合张量网络进行量子计算的量子蒙特卡洛电子结构计算
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-06-06 DOI: 10.1038/s41534-024-00851-8
Shu Kanno, Hajime Nakamura, Takao Kobayashi, Shigeki Gocho, Miho Hatanaka, Naoki Yamamoto, Qi Gao

Quantum computers have a potential for solving quantum chemistry problems with higher accuracy than classical computers. Quantum computing quantum Monte Carlo (QC-QMC) is a QMC with a trial state prepared in quantum circuit, which is employed to obtain the ground state with higher accuracy than QMC alone. We propose an algorithm combining QC-QMC with a hybrid tensor network to extend the applicability of QC-QMC beyond a single quantum device size. In a two-layer quantum-quantum tree tensor, our algorithm for the larger trial wave function can be executed than preparable wave function in a device. Our algorithm is evaluated on the Heisenberg chain model, graphite-based Hubbard model, hydrogen plane model, and MonoArylBiImidazole using full configuration interaction QMC. Our algorithm can achieve energy accuracy (specifically, variance) several orders of magnitude higher than QMC, and the hybrid tensor version of QMC gives the same energy accuracy as QC-QMC when the system is appropriately decomposed. Moreover, we develop a pseudo-Hadamard test technique that enables efficient overlap calculations between a trial wave function and an orthonormal basis state. In a real device experiment by using the technique, we obtained almost the same accuracy as the statevector simulator, indicating the noise robustness of our algorithm. These results suggests that the present approach will pave the way to electronic structure calculation for large systems with high accuracy on current quantum devices.

量子计算机在解决量子化学问题方面具有比经典计算机更高的精度。量子计算量子蒙特卡洛(QC-QMC)是一种在量子电路中制备试验态的量子计算量子蒙特卡洛,与单独的量子计算量子蒙特卡洛相比,它能以更高的精度获得基态。我们提出了一种将 QC-QMC 与混合张量网络相结合的算法,以扩展 QC-QMC 的适用范围,使其超越单一量子器件的尺寸。在双层量子树张量中,我们的算法可以执行比器件中可准备波函数更大的试验波函数。我们的算法在海森堡链模型、基于石墨的哈伯德模型、氢平面模型和 MonoArylBiImidazole 上使用全构型相互作用 QMC 进行了评估。我们的算法能达到比 QMC 高几个数量级的能量精度(具体来说是方差),而 QMC 的混合张量版本在对系统进行适当分解后,能达到与 QC-QMC 相同的能量精度。此外,我们还开发了一种伪哈达玛测试技术,可以高效计算试验波函数和正交基态之间的重叠。在使用该技术进行的实际设备实验中,我们获得了与状态向量模拟器几乎相同的精度,这表明我们的算法具有噪声鲁棒性。这些结果表明,本方法将为在当前量子器件上高精度计算大型系统的电子结构铺平道路。
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引用次数: 0
Microwave-multiplexed qubit controller using adiabatic superconductor logic 使用绝热超导体逻辑的微波多路复用量子比特控制器
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-06-03 DOI: 10.1038/s41534-024-00849-2
Naoki Takeuchi, Taiki Yamae, Taro Yamashita, Tsuyoshi Yamamoto, Nobuyuki Yoshikawa

Cryogenic qubit controllers (QCs) are the key to build large-scale superconducting quantum processors. However, developing scalable QCs is challenging because the cooling power of a dilution refrigerator is too small (~10 μW at ~10 mK) to operate conventional logic families, such as complementary metal-oxide-semiconductor logic and superconducting single-flux-quantum logic, near qubits. Here we report on a scalable QC using an ultra-low-power superconductor logic family, namely adiabatic quantum-flux-parametron (AQFP) logic. The AQFP-based QC, referred to as the AQFP-multiplexed QC (AQFP-mux QC), produces multi-tone microwave signals for qubit control with an extremely small power dissipation of 81.8 pW per qubit. Furthermore, the AQFP-mux QC adopts microwave multiplexing to reduce the number of coaxial cables for operating the entire system. As a proof of concept, we demonstrate an AQFP-mux QC chip that produces microwave signals at two output ports through microwave multiplexing and demultiplexing. Experimental results show an output power of approximately −80 dBm and on/off ratio of ~40 dB at each output port. Basic mixing operation is also demonstrated by observing sideband signals.

低温量子比特控制器(QC)是构建大规模超导量子处理器的关键。然而,开发可扩展的 QC 具有挑战性,因为稀释冰箱的冷却功率太小(约 10 mK 时约 10 μW),无法在量子比特附近运行互补金属氧化物半导体逻辑和超导单流量子逻辑等传统逻辑系列。在此,我们报告了一种使用超低功耗超导体逻辑系列(即绝热量子通量旁瓣电子(AQFP)逻辑)的可扩展 QC。这种基于 AQFP 的 QC 被称为 AQFP 多路复用 QC(AQFP-mux QC),它能以极小的功率耗散(每个量子比特 81.8 pW)产生用于量子比特控制的多音调微波信号。此外,AQFP-mux QC 采用微波复用技术,减少了整个系统运行所需的同轴电缆数量。作为概念验证,我们演示了 AQFP-mux QC 芯片,它通过微波复用和解复用在两个输出端口产生微波信号。实验结果表明,每个输出端口的输出功率约为 -80 dBm,开/关比率约为 40 dB。通过观察边带信号,还演示了基本的混频操作。
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引用次数: 0
Quantum computation of frequency-domain molecular response properties using a three-qubit iToffoli gate 利用三量子位 iToffoli 门实现频域分子响应特性的量子计算
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-05-31 DOI: 10.1038/s41534-024-00850-9
Shi-Ning Sun, Brian Marinelli, Jin Ming Koh, Yosep Kim, Long B. Nguyen, Larry Chen, John Mark Kreikebaum, David I. Santiago, Irfan Siddiqi, Austin J. Minnich

The quantum computation of molecular response properties on near-term quantum hardware is a topic of substantial interest. Computing these properties directly in the frequency domain is desirable, but the circuits require large depth if the typical hardware gate set consisting of single- and two-qubit gates is used. While high-fidelity multipartite gates have been reported recently, their integration into quantum simulation and the demonstration of improved accuracy of the observable properties remains to be shown. Here, we report the application of a high-fidelity multipartite gate, the iToffoli gate, to the computation of frequency-domain response properties of diatomic molecules. The iToffoli gate enables a ~50% reduction in circuit depth and ~40% reduction in circuit execution time compared to the traditional gate set. We show that the molecular properties obtained with the iToffoli gate exhibit comparable or better agreement with theory than those obtained with the native CZ gates. Our work is among the first demonstrations of the practical usage of a native multi-qubit gate in quantum simulation, with diverse potential applications to near-term quantum computation.

在近期量子硬件上对分子响应特性进行量子计算是一个备受关注的课题。直接在频域计算这些特性是可取的,但如果使用由单量子比特和双量子比特门组成的典型硬件门集,则电路需要很大的深度。虽然最近已有高保真多比特门的报道,但将其集成到量子模拟中并证明可观测特性的精确度有所提高仍有待证明。在此,我们报告了高保真多分立门 iToffoli 门在计算二原子分子频域响应特性中的应用。与传统门集相比,iToffoli 门可将电路深度减少约 50%,将电路执行时间减少约 40%。我们的研究表明,使用 iToffoli 门获得的分子特性与理论的一致性相当,甚至优于使用原生 CZ 门获得的分子特性。我们的工作是在量子模拟中实际使用原生多量子比特门的首次演示之一,在近期量子计算中具有多种潜在应用。
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引用次数: 0
Coupling conduction-band valleys in SiGe heterostructures via shear strain and Ge concentration oscillations 通过剪切应变和 Ge 浓度振荡耦合硅-锗异质结构中的导带谷
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-05-31 DOI: 10.1038/s41534-024-00853-6
Benjamin D. Woods, Hudaiba Soomro, E. S. Joseph, Collin C. D. Frink, Robert Joynt, M. A. Eriksson, Mark Friesen

Engineering conduction-band valley couplings is a key challenge for Si-based spin qubits. Recent work has shown that the most reliable method for enhancing valley couplings entails adding Ge concentration oscillations to the quantum well. However, ultrashort oscillation periods are difficult to grow, while long oscillation periods do not provide useful improvements. Here, we show that the main benefits of short-wavelength oscillations can be achieved in long-wavelength structures through a second-order coupling process involving Brillouin-zone folding induced by shear strain. We finally show that such strain can be achieved through common fabrication techniques, making this an exceptionally promising system for scalable quantum computing.

导带谷耦合工程是硅基自旋量子比特面临的一个关键挑战。最近的研究表明,增强谷耦合的最可靠方法是在量子阱中加入 Ge 浓度振荡。然而,超短振荡周期难以增长,而长振荡周期也无法提供有用的改进。在这里,我们展示了短波长振荡的主要优势可以通过剪切应变诱导的布里渊区折叠的二阶耦合过程在长波长结构中实现。我们最终证明,这种应变可以通过普通制造技术实现,从而使其成为一种极具潜力的可扩展量子计算系统。
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引用次数: 0
Fourier transform noise spectroscopy 傅立叶变换噪声光谱
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-05-17 DOI: 10.1038/s41534-024-00841-w
Arian Vezvaee, Nanako Shitara, Shuo Sun, Andrés Montoya-Castillo

Spectral characterization of noise environments that lead to the decoherence of qubits is critical to developing robust quantum technologies. While dynamical decoupling offers one of the most successful approaches to characterize noise spectra, it necessitates applying large sequences of π pulses that increase the complexity and cost of the method. Here, we introduce a noise spectroscopy method that utilizes only the Fourier transform of free induction decay or spin echo measurements, thus removing the need for the application many π pulses. We show that our method faithfully recovers the correct noise spectra for a variety of different environments (including 1/f-type noise) and outperforms previous dynamical decoupling schemes while significantly reducing their experimental overhead. We also discuss the experimental feasibility of our proposal and demonstrate its robustness in the presence of statistical measurement error. Our method is applicable to a wide range of quantum platforms and provides a simpler path toward a more accurate spectral characterization of quantum devices, thus offering possibilities for tailored decoherence mitigation.

对导致量子比特退相干的噪声环境进行频谱表征,对于开发稳健的量子技术至关重要。虽然动态解耦是表征噪声光谱最成功的方法之一,但它需要应用大量的π脉冲序列,从而增加了方法的复杂性和成本。在这里,我们介绍一种噪声光谱分析方法,它只利用自由感应衰减或自旋回波测量的傅立叶变换,因此无需应用大量 π 脉冲。我们的研究表明,我们的方法能在各种不同环境下(包括 1/f 型噪声)忠实地恢复正确的噪声谱,其性能优于之前的动态解耦方案,同时显著降低了实验开销。我们还讨论了我们建议的实验可行性,并证明了它在存在统计测量误差时的鲁棒性。我们的方法适用于各种量子平台,为量子设备更精确的光谱表征提供了更简单的途径,从而为量身定制的退相干缓解提供了可能性。
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引用次数: 0
High-fidelity four-photon GHZ states on chip 芯片上的高保真四光子 GHZ 状态
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-05-15 DOI: 10.1038/s41534-024-00830-z
Mathias Pont, Giacomo Corrielli, Andreas Fyrillas, Iris Agresti, Gonzalo Carvacho, Nicolas Maring, Pierre-Emmanuel Emeriau, Francesco Ceccarelli, Ricardo Albiero, Paulo Henrique Dias Ferreira, Niccolo Somaschi, Jean Senellart, Isabelle Sagnes, Martina Morassi, Aristide Lemaître, Pascale Senellart, Fabio Sciarrino, Marco Liscidini, Nadia Belabas, Roberto Osellame

Mutually entangled multi-photon states are at the heart of all-optical quantum technologies. While impressive progresses have been reported in the generation of such quantum light states using free space apparatus, high-fidelity high-rate on-chip entanglement generation is crucial for future scalability. In this work, we use a bright quantum-dot based single-photon source to demonstrate the high fidelity generation of 4-photon Greenberg-Horne-Zeilinger (GHZ) states with a low-loss reconfigurable glass photonic circuit. We reconstruct the density matrix of the generated states using full quantum-state tomography reaching an experimental fidelity to the target state of ({{{{mathcal{F}}}}}_{{{{{rm{GHZ}}}}}_{4}}=(86.0pm 0.4), %), and a purity of ({{{{mathcal{P}}}}}_{{{{{rm{GHZ}}}}}_{4}}=(76.3pm 0.6), %). The entanglement of the generated states is certified with a semi device-independent approach through the violation of a Bell-like inequality by more than 39 standard deviations. Finally, we carry out a four-partite quantum secret sharing protocol on-chip where a regulator shares with three interlocutors a sifted key with up to 1978 bits, achieving a qubit-error rate of 10.87%. These results establish that the quantum-dot technology combined with glass photonic circuitry offers a viable path for entanglement generation and distribution.

相互纠缠的多光子态是全光量子技术的核心。据报道,利用自由空间设备生成这种量子光态取得了令人瞩目的进展,但高保真、高速率的片上纠缠生成对未来的可扩展性至关重要。在这项工作中,我们使用基于明亮量子点的单光子源,演示了利用低损耗可重构玻璃光子电路高保真地生成 4 光子格林伯格-霍恩-蔡林格(GHZ)态。我们利用全量子态层析技术重建了生成态的密度矩阵,实验结果与目标态的保真度达到了({{{{mathcal{F}}}}}_{{{{{rm{GHZ}}}}}_{4}}=(86.0pm 0.4)%),纯度为({{{{/mathcal{P}}}}}_02/rm{GHZ}}}}}_{4}}=(76.3/pm 0.6)%)。通过对贝尔不等式超过 39 个标准偏差的违反,我们用一种与设备无关的半方法证明了所生成状态的纠缠性。最后,我们在芯片上执行了一个四部分量子秘密共享协议,其中一个调节器与三个对话者共享一个多达1978比特的筛选密钥,实现了10.87%的量子比特错误率。这些结果证明,量子点技术与玻璃光子电路相结合,为纠缠的产生和分配提供了一条可行的途径。
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引用次数: 0
Fourier Quantum Process Tomography 傅立叶量子过程断层扫描
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-05-09 DOI: 10.1038/s41534-024-00844-7
Francesco Di Colandrea, Nazanin Dehghan, Alessio D’Errico, Ebrahim Karimi

The characterization of a quantum device is a crucial step in the development of quantum experiments. This is accomplished via Quantum Process Tomography, which combines the outcomes of different projective measurements to deliver a possible reconstruction of the underlying process. The tomography is typically performed by processing an overcomplete set of measurements and extracting the process matrix from maximum-likelihood estimation. Here, we introduce Fourier Quantum Process Tomography, a technique which requires a reduced number of measurements, and benchmark its performance against the standard maximum-likelihood approach. Fourier Quantum Process Tomography is based on measuring probability distributions in two conjugate spaces for different state preparations and projections. Exploiting the concept of phase retrieval, our scheme achieves a complete and robust characterization of the setup by processing a near-minimal set of measurements. We experimentally test the technique on different space-dependent polarization transformations, reporting average fidelities higher than 90% and significant computational advantage.

量子设备的表征是量子实验发展的关键一步。这可以通过量子过程层析来实现,它将不同投影测量的结果结合起来,从而对底层过程进行可能的重构。层析通常是通过处理一组不完整的测量结果,并从最大似然估计中提取过程矩阵来实现的。在这里,我们将介绍傅立叶量子过程层析技术,这是一种只需较少测量值的技术,并将其性能与标准的最大似然法进行比较。傅立叶量子过程层析技术基于测量两个共轭空间中不同状态准备和投影的概率分布。利用相位检索的概念,我们的方案通过处理近乎最少的测量集,实现了对设置的完整而稳健的表征。我们在不同的空间偏振变换上对该技术进行了实验测试,结果表明平均保真度高于 90%,并具有显著的计算优势。
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引用次数: 0
Engineering holography with stabilizer graph codes 使用稳定器图码的工程全息技术
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-05-03 DOI: 10.1038/s41534-024-00822-z
Gerard Anglès Munné, Valentin Kasper, Felix Huber

The discovery of holographic codes established a surprising connection between quantum error correction and the anti-de Sitter-conformal field theory correspondence. Recent technological progress in artificial quantum systems renders the experimental realization of such holographic codes now within reach. Formulating the hyperbolic pentagon code in terms of a stabilizer graph code, we give gate sequences that are tailored to systems with long-range interactions. We show how to obtain encoding and decoding circuits for the hyperbolic pentagon code, before focusing on a small instance of the holographic code on twelve qubits. Our approach allows to verify holographic properties by partial decoding operations, recovering bulk degrees of freedom from their nearby boundary.

全息密码的发现在量子纠错和反德西特-共形场论对应关系之间建立了惊人的联系。人工量子系统的最新技术进步使得这种全息代码的实验实现指日可待。我们用稳定器图码来表述双曲五边形码,给出了适合具有长程相互作用的系统的门序列。我们展示了如何获得双曲五边形码的编码和解码电路,然后重点讨论了十二量子比特全息码的一个小实例。我们的方法允许通过部分解码操作验证全息特性,从它们附近的边界恢复体自由度。
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引用次数: 0
Spatially correlated classical and quantum noise in driven qubits 驱动量子比特中空间相关的经典和量子噪声
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-04-30 DOI: 10.1038/s41534-024-00842-9
Ji Zou, Stefano Bosco, Daniel Loss

Correlated noise across multiple qubits poses a significant challenge for achieving scalable and fault-tolerant quantum processors. Despite recent experimental efforts to quantify this noise in various qubit architectures, a comprehensive understanding of its role in qubit dynamics remains elusive. Here, we present an analytical study of the dynamics of driven qubits under spatially correlated noise, including both Markovian and non-Markovian noise. Surprisingly, we find that by operating the qubit system at low temperatures, where correlated quantum noise plays an important role, significant long-lived entanglement between qubits can be generated. Importantly, this generation process can be controlled on-demand by turning the qubit driving on and off. On the other hand, we demonstrate that by operating the system at a higher temperature, the crosstalk between qubits induced by the correlated noise is unexpectedly suppressed. We finally reveal the impact of spatio-temporally correlated 1/f noise on the decoherence rate, and how its temporal correlations restore lost entanglement. Our findings provide critical insights into not only suppressing crosstalk between qubits caused by correlated noise but also in effectively leveraging such noise as a beneficial resource for controlled entanglement generation.

多个量子比特之间的相关噪声是实现可扩展和容错量子处理器的重大挑战。尽管最近在各种量子比特架构中对这种噪声进行了量化实验,但对其在量子比特动力学中的作用的全面了解仍然遥遥无期。在此,我们对空间相关噪声(包括马尔可夫和非马尔可夫噪声)下的驱动量子比特动态进行了分析研究。令人惊讶的是,我们发现通过在低温下运行量子比特系统(相关量子噪声在其中发挥了重要作用),可以在量子比特之间产生显著的长效纠缠。重要的是,这一生成过程可以通过开启或关闭量子比特驱动按需控制。另一方面,我们证明,通过在较高温度下运行系统,由相关噪声引起的量子位之间的串扰会意外地得到抑制。最后,我们揭示了时空相关 1/f 噪声对退相干率的影响,以及它的时空相关性如何恢复失去的纠缠。我们的发现不仅为抑制相关噪声引起的量子比特间串扰,而且为有效利用这种噪声作为受控纠缠生成的有益资源提供了重要见解。
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引用次数: 0
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