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Simulating non-completely positive actions via exponentiation of Hermitian-preserving maps 通过埃尔米特守恒图的幂模拟非完全正动作
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-12-30 DOI: 10.1038/s41534-024-00949-z
Fuchuan Wei, Zhenhuan Liu, Guoding Liu, Zizhao Han, Dong-Ling Deng, Zhengwei Liu

Legitimate quantum operations must adhere to principles of quantum mechanics, particularly the requirements of complete positivity and trace preservation. Yet, non-completely positive maps, especially Hermitian-preserving maps, play a crucial role in quantum information science. Here, we introduce the Hermitian-preserving map exponentiation algorithm, which can effectively simulate the action of an arbitrary Hermitian-preserving map by exponentiating its output, ({mathcal{N}}(rho )), into a quantum process, ({e}^{-i{mathcal{N}}(rho )t}). We analyze the sample complexity of this algorithm and prove its optimality in certain cases. Utilizing positive but not completely positive maps, this algorithm provides exponential speedups in entanglement detection and quantification compared to protocols based on single-copy operations. In addition, it facilitates the encoding-free recovery of noiseless quantum states from multiple noisy ones by simulating the inverse map of the corresponding noise channel, providing a new approach to handling quantum noises. This algorithm acts as a building block of large-scale quantum algorithms and presents a pathway for exploring potential quantum speedups across a wide range of information-processing tasks.

合法的量子运算必须遵守量子力学的原则,特别是完全正性和痕迹保存的要求。然而,非完全正映射,特别是保持埃尔米特映射,在量子信息科学中起着至关重要的作用。在这里,我们引入了Hermitian-preserving map的幂运算算法,该算法可以通过将任意Hermitian-preserving map的输出({mathcal{N}}(rho ))幂运算为量子过程({e}^{-i{mathcal{N}}(rho )t})来有效地模拟其作用。我们分析了该算法的样本复杂度,并在某些情况下证明了它的最优性。与基于单拷贝操作的协议相比,该算法利用正映射(但不是完全正映射)提供了指数级的纠缠检测和量化速度。此外,该方法通过模拟噪声信道的逆映射,实现了从多个噪声量子态中无噪声量子态的免编码恢复,为处理量子噪声提供了一种新的方法。该算法作为大规模量子算法的构建块,并为在广泛的信息处理任务中探索潜在的量子加速提供了途径。
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引用次数: 0
Time-bin entangled Bell state generation and tomography on thin-film lithium niobate 铌酸锂薄膜的时间bin纠缠贝尔态生成与层析成像
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-12-30 DOI: 10.1038/s41534-024-00925-7
Giovanni Finco, Filippo Miserocchi, Andreas Maeder, Jost Kellner, Alessandra Sabatti, Robert J. Chapman, Rachel Grange

Optical quantum communication technologies are making the prospect of unconditionally secure and efficient information transfer a reality. The possibility of generating and reliably detecting quantum states of light, with the further need of increasing the private data-rate is where most research efforts are focusing. The physical concept of entanglement is a solution guaranteeing the highest degree of security in device-independent schemes, yet its implementation and preservation over long communication links is hard to achieve. Lithium niobate-on-insulator has emerged as a revolutionising platform for high-speed classical telecommunication and is equally suited for quantum information applications owing to the large second-order nonlinearities that can efficiently produce entangled photon pairs. In this work, we generate maximally entangled quantum states in the time-bin basis using lithium niobate-on-insulator photonics at the fibre optics telecommunication wavelength, and reconstruct the density matrix by quantum tomography on a single photonic integrated circuit. We use on-chip periodically-poled lithium niobate as source of entangled qubits with a brightness of 242 MHz/mW and perform quantum tomography with a fidelity of 91.9 ± 1.0 %. Our results, combined with the established large electro-optic bandwidth of lithium niobate, showcase the platform as perfect candidate to realise fibre-coupled, high-speed time-bin quantum communication modules that exploit entanglement to achieve information security.

光量子通信技术正在使无条件安全、高效的信息传输成为现实。随着私人数据速率的进一步提高,产生并可靠地探测光的量子态的可能性是大多数研究的重点。纠缠的物理概念是一种在设备无关方案中保证最高程度安全性的解决方案,但它在长通信链路上的实现和保存很难实现。绝缘体上的铌酸锂已经成为高速经典电信的革命性平台,由于可以有效地产生纠缠光子对的大二阶非线性,它同样适用于量子信息应用。在这项工作中,我们利用光纤通信波长的绝缘体上铌酸锂光子学在时间盒基础上产生最大纠缠量子态,并在单个光子集成电路上通过量子层析重建密度矩阵。我们使用片上周期性极化铌酸锂作为纠缠量子比特源,亮度为242 MHz/mW,并进行了保真度为91.9±1.0%的量子层析成像。我们的研究结果,结合铌酸锂已建立的大电光带宽,表明该平台是实现光纤耦合、高速时间bin量子通信模块的完美候选者,该模块利用纠缠来实现信息安全。
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引用次数: 0
Fast and high-fidelity dispersive readout of a spin qubit with squeezed microwave and resonator nonlinearity 具有压缩微波和谐振器非线性的自旋量子比特的快速高保真色散读出
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-12-28 DOI: 10.1038/s41534-024-00924-8
Chon-Fai Kam, Xuedong Hu

Fast and high-fidelity qubit measurement is essential for quantum error correction in universal quantum computing. This study examines dispersive measurement of a spin in a semiconductor double quantum dot using a nonlinear microwave resonator. By employing displaced squeezed vacuum states, we achieve rapid, high-fidelity readout for silicon spin qubits. Our results show that modest squeezing and mild nonlinearity significantly enhance the signal-to-noise ratio (SNR) and the fidelity of qubit-state readout. By optimally adjusting the phases of squeezing and nonlinearity, we reduce readout time to sub-microsecond ranges. With current technology parameters (κ ≈ 2χs, χs/(2π) ≈ 0.15 MHz), utilizing a displaced squeezed vacuum state with 30 photons and a modest squeezing parameter r ≈ 0.6, along with a nonlinear microwave resonator charactered by a strength of λ ≈ − 1.2χs, a readout fidelity of 98% can be attained within a readout time of around 0.6 μs.

快速、高保真的量子比特测量是通用量子计算中量子纠错的关键。本研究利用非线性微波谐振器对半导体双量子点的自旋进行色散测量。通过使用位移压缩真空态,我们实现了硅自旋量子比特的快速、高保真读出。我们的研究结果表明,适度的压缩和轻微的非线性显著提高了量子比特状态读出的信噪比和保真度。通过优化调整压缩和非线性的相位,我们将读出时间减少到亚微秒范围。在现有的技术参数(κ≈2χs, χs/(2π)≈0.15 MHz)下,利用30个光子的位移压缩真空状态,适当的压缩参数r≈0.6,以及强度λ≈−1.2χs的非线性微波谐振器,在0.6 μs左右的读出时间内,可以获得98%的读出保真度。
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引用次数: 0
Long-range data transmission in a fault-tolerant quantum bus architecture 基于容错量子总线架构的远程数据传输
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-12-26 DOI: 10.1038/s41534-024-00928-4
Shin Ho Choe, Robert König

We propose a fault-tolerant scheme for generating long-range entanglement at the ends of a rectangular array of qubits of length R with a square cross-section of (m=O({log }^{2}R)) qubits. It is realized by a constant-depth circuit producing a constant-fidelity Bell-pair (independent of R) for local stochastic noise of strength below an experimentally realistic threshold. The scheme can be viewed as a quantum bus in a quantum computing architecture where qubits are arranged on a rectangular 3D grid, and all operations are between neighboring qubits. Alternatively, it can be seen as a quantum repeater protocol along a line, with neighboring repeaters placed at a short distance to allow constant-fidelity nearest-neighbor operations. To show our protocol uses a number of qubits close to optimal, we show that any noise-resilient distance-R entanglement generation scheme realized by a constant-depth circuit needs at least (m=Omega (log R)) qubits per repeater.

我们提出了一种容错方案,用于在长度为R的矩形量子位阵列的末端产生远程纠缠,其横截面为(m=O({log }^{2}R))量子位。对于强度低于实验实际阈值的局部随机噪声,通过恒深电路产生恒定保真度的贝尔对(与R无关)来实现。该方案可以看作是量子计算架构中的量子总线,其中量子位排列在矩形3D网格上,所有操作都在相邻量子位之间进行。或者,它可以被视为沿线路的量子中继器协议,相邻中继器放置在短距离处,以允许恒定保真度的最近邻操作。为了证明我们的协议使用了许多接近最佳的量子比特,我们表明,任何由定深电路实现的抗噪声距离-r纠缠生成方案,每个中继器至少需要(m=Omega (log R))量子比特。
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引用次数: 0
Quantum networks with coherent routing of information through multiple nodes 具有通过多个节点的相干信息路由的量子网络
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-12-20 DOI: 10.1038/s41534-024-00919-5
Hlér Kristjánsson, Yan Zhong, Anthony Munson, Giulio Chiribella

Large-scale communication networks, such as the Internet, rely on routing packets of data through multiple intermediate nodes to transmit information from a sender to a receiver. In this paper, we develop a model of a quantum communication network that routes information simultaneously along multiple paths passing through intermediate stations. We demonstrate that a quantum routing approach can in principle extend the distance over which information can be transmitted reliably. Surprisingly, the benefit of quantum routing also applies to the transmission of classical information: even if the transmitted data is purely classical, delocalising it on multiple routes can enhance the achievable transmission distance. Our findings highlight the potential of a future quantum internet not only for achieving secure quantum communication and distributed quantum computing but also for extending the range of classical data transmission.

大型通信网络,如Internet,依赖于通过多个中间节点路由数据包,将信息从发送方传输到接收方。在本文中,我们建立了一个量子通信网络的模型,该网络的信息沿多个路径同时通过中间站。我们证明了量子路由方法原则上可以延长信息可靠传输的距离。令人惊讶的是,量子路由的好处也适用于经典信息的传输:即使传输的数据是纯经典的,在多条路由上进行非局部化也可以提高可实现的传输距离。我们的研究结果强调了未来量子互联网的潜力,不仅可以实现安全的量子通信和分布式量子计算,还可以扩展经典数据传输的范围。
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引用次数: 0
Quantum simulation of realistic materials in first quantization using non-local pseudopotentials 利用非局域伪势对现实材料一阶量子化的量子模拟
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-12-19 DOI: 10.1038/s41534-024-00896-9
Dominic W. Berry, Nicholas C. Rubin, Ahmed O. Elnabawy, Gabriele Ahlers, A. Eugene DePrince, Joonho Lee, Christian Gogolin, Ryan Babbush

This paper improves and demonstrates the usefulness of the first quantized plane-wave algorithms for the quantum simulation of electronic structure. We describe our quantum algorithm for first quantized simulation that accurately includes pseudopotentials. We focus on the Goedecker-Tetter-Hutter pseudopotential, and despite its complicated form, we block encode the associated operator without significantly increasing the overall cost of quantum simulation. This is surprising since simulating the nuclear potential is much simpler without pseudopotentials, yet is still the bottleneck. We also generalize prior methods to enable the simulation of materials with non-cubic unit cells, which requires nontrivial modifications. Finally, we combine these techniques to estimate block-encoding costs for commercially relevant instances of heterogeneous catalysis (e.g. carbon monoxide adsorption) and compare to the quantum resources needed to simulate materials in second quantization. We conclude that for computational cells with many particles, first quantization often requires meaningfully less spacetime volume.

本文改进并证明了第一个量子化平面波算法在电子结构量子模拟中的实用性。我们描述了我们的量子算法的第一个量化模拟,准确地包括伪势。我们专注于goedecker - tter- hutter伪势,尽管其形式复杂,但我们对相关算子进行了块编码,而不会显著增加量子模拟的总体成本。这是令人惊讶的,因为模拟核势要简单得多,没有假势,但仍然是瓶颈。我们还推广了先前的方法,使具有非立方单元的材料的模拟成为可能,这需要不平凡的修改。最后,我们结合这些技术来估计商业上相关的多相催化实例(如一氧化碳吸附)的块编码成本,并与二次量化模拟材料所需的量子资源进行比较。我们的结论是,对于具有许多粒子的计算细胞,第一次量子化通常需要更少的时空体积。
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引用次数: 0
Simultaneous discovery of quantum error correction codes and encoders with a noise-aware reinforcement learning agent 同时发现量子纠错码和编码器与噪声感知强化学习代理
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-12-03 DOI: 10.1038/s41534-024-00920-y
Jan Olle, Remmy Zen, Matteo Puviani, Florian Marquardt

In the ongoing race towards experimental implementations of quantum error correction (QEC), finding ways to automatically discover codes and encoding strategies tailored to the qubit hardware platform is emerging as a critical problem. Reinforcement learning (RL) has been identified as a promising approach, but so far it has been severely restricted in terms of scalability. In this work, we significantly expand the power of RL approaches to QEC code discovery. Explicitly, we train an RL agent that automatically discovers both QEC codes and their encoding circuits for a given gate set, qubit connectivity and error model, from scratch. This is enabled by a reward based on the Knill-Laflamme conditions and a vectorized Clifford simulator, showing its effectiveness with up to 25 physical qubits and distance 5 codes, while presenting a roadmap to scale this approach to 100 qubits and distance 10 codes in the near future. We also introduce the concept of a noise-aware meta-agent, which learns to produce encoding strategies simultaneously for a range of noise models, thus leveraging transfer of insights between different situations. Our approach opens the door towards hardware-adapted accelerated discovery of QEC approaches across the full spectrum of quantum hardware platforms of interest.

在量子纠错(QEC)实验实现的持续竞赛中,寻找自动发现适合量子比特硬件平台的代码和编码策略的方法正在成为一个关键问题。强化学习(RL)被认为是一种很有前途的方法,但到目前为止,它在可扩展性方面受到严重限制。在这项工作中,我们显著地扩展了RL方法在QEC代码发现方面的能力。明确地,我们从头开始训练一个RL代理,自动发现给定门集、量子比特连接和错误模型的QEC代码及其编码电路。这是通过基于Knill-Laflamme条件和矢量Clifford模拟器的奖励来实现的,展示了它在多达25个物理量子比特和5个距离代码上的有效性,同时提出了在不久的将来将这种方法扩展到100个量子比特和10个距离代码的路线图。我们还引入了噪声感知元代理的概念,它学习同时为一系列噪声模型生成编码策略,从而利用不同情况之间的见解转移。我们的方法为在所有感兴趣的量子硬件平台上加速发现适合硬件的QEC方法打开了大门。
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引用次数: 0
Unleashed from constrained optimization: quantum computing for quantum chemistry employing generator coordinate inspired method 从约束优化中释放:采用生成器坐标启发方法的量子化学量子计算
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-12-03 DOI: 10.1038/s41534-024-00916-8
Muqing Zheng, Bo Peng, Ang Li, Xiu Yang, Karol Kowalski

Hybrid quantum-classical approaches offer potential solutions to quantum chemistry problems, yet they often manifest as constrained optimization problems. Here, we explore the interconnection between constrained optimization and generalized eigenvalue problems through the Unitary Coupled Cluster (UCC) excitation generators. Inspired by the generator coordinate method, we employ these UCC excitation generators to construct non-orthogonal, overcomplete many-body bases, projecting the system Hamiltonian into an effective Hamiltonian, which bypasses issues such as barren plateaus that heuristic numerical minimizers often encountered in standard variational quantum eigensolver (VQE). Diverging from conventional quantum subspace expansion methods, we introduce an adaptive scheme that robustly constructs the many-body basis sets from a pool of the UCC excitation generators. This scheme supports the development of a hierarchical ADAPT quantum-classical strategy, enabling a balanced interplay between subspace expansion and ansatz optimization to address complex, strongly correlated quantum chemical systems cost-effectively, setting the stage for more advanced quantum simulations in chemistry.

混合量子经典方法为量子化学问题提供了潜在的解决方案,但它们通常表现为约束优化问题。在这里,我们通过统一耦合簇(UCC)激励发生器探索约束优化和广义特征值问题之间的联系。受发生器坐标方法的启发,我们使用这些UCC激励发生器来构造非正交的、过完备的多体基,将系统哈密顿量投影为有效哈密顿量,从而绕过了标准变分量子特征求解器(VQE)中启发式数值最小化器经常遇到的无源高原等问题。与传统的量子子空间展开方法不同,我们引入了一种自适应方案,该方案鲁棒地从一组UCC激励发生器中构造多体基集。该方案支持分层ADAPT量子经典策略的发展,实现子空间扩展和ansatz优化之间的平衡相互作用,以经济有效地解决复杂的,强相关的量子化学系统,为化学中更先进的量子模拟奠定了基础。
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引用次数: 0
A quantum leaky integrate-and-fire spiking neuron and network 一个量子泄漏的集成和触发神经元和网络
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-12-02 DOI: 10.1038/s41534-024-00921-x
Dean Brand, Francesco Petruccione

Quantum machine learning is in a period of rapid development and discovery, however it still lacks the resources and diversity of computational models of its classical complement. With the growing difficulties of classical models requiring extreme hardware and power solutions, and quantum models being limited by noisy intermediate-scale quantum (NISQ) hardware, there is an emerging opportunity to solve both problems together. Here we introduce a new software model for quantum neuromorphic computing — a quantum leaky integrate-and-fire (QLIF) neuron, implemented as a compact high-fidelity quantum circuit, requiring only 2 rotation gates and no CNOT gates. We use these neurons as building blocks in the construction of a quantum spiking neural network (QSNN), and a quantum spiking convolutional neural network (QSCNN), as the first of their kind. We apply these models to the MNIST, Fashion-MNIST, and KMNIST datasets for a full comparison with other classical and quantum models. We find that the proposed models perform competitively, with comparative accuracy, with efficient scaling and fast computation in classical simulation as well as on quantum devices.

量子机器学习正处于一个快速发展和发现的时期,但它仍然缺乏其经典补充的资源和计算模型的多样性。随着经典模型对极端硬件和功率解决方案的要求越来越高,以及量子模型受到噪声中等规模量子(NISQ)硬件的限制,同时解决这两个问题的机会正在出现。在这里,我们介绍了一种新的量子神经形态计算软件模型-量子泄漏集成和发射(QLIF)神经元,实现为紧凑的高保真量子电路,只需要2个旋转门和无CNOT门。我们使用这些神经元作为构建量子尖峰神经网络(QSNN)和量子尖峰卷积神经网络(QSCNN)的基石,作为同类中的第一个。我们将这些模型应用于MNIST、Fashion-MNIST和KMNIST数据集,与其他经典模型和量子模型进行全面比较。我们发现所提出的模型在经典模拟和量子器件上具有竞争力,具有相对的精度,具有有效的缩放和快速的计算。
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引用次数: 0
Can quantum computers do nothing? 量子计算机可以什么都不做吗?
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-11-26 DOI: 10.1038/s41534-024-00918-6
Alexander Nico-Katz, Nathan Keenan, John Goold

Quantum computing platforms are subject to contradictory engineering requirements: qubits must be protected from mutual interactions when idling (‘doing nothing’), and strongly interacting when in operation. If idling qubits are not sufficiently protected, information ‘leaks’ into neighbouring qubits, becoming ultimately inaccessible. Candidate solutions to this dilemma include many-body localization, dynamical decoupling, and active error correction. However, no protocol exists to quantify this effect in a similar way to e.g. SPAM errors. We develop a scalable, device non-specific, protocol for quantifying idle information loss by exploiting tools from quantum information theory. We implement this protocol in over 3500 experiments carried out across 4 months (Dec 2023–Mar 2024) on IBM’s entire Falcon 5.11 processor series. After accounting for other error sources, we detect information loss to high degrees of statistical significance. This work thus provides a firm quantitative foundation from which the protection-operation dilemma can be investigated and ultimately resolved.

量子计算平台面临着相互矛盾的工程要求:空闲("什么也不做")时必须保护量子比特不发生相互影响,而运行时又必须保护量子比特不发生强相互作用。如果空闲的量子比特没有得到充分保护,信息就会 "泄漏 "到邻近的量子比特中,最终变得无法访问。解决这一难题的候选方案包括多体定位、动态解耦和主动纠错。然而,目前还没有一种协议能以类似于 SPAM 错误的方式量化这种影响。我们利用量子信息理论工具,开发了一种可扩展、不针对特定设备的协议,用于量化空闲信息丢失。我们在 IBM 的整个猎鹰 5.11 处理器系列上进行了 3500 多次实验,历时 4 个月(2023 年 12 月至 2024 年 3 月)。在考虑了其他误差源之后,我们检测到的信息丢失在统计意义上达到了很高的程度。因此,这项工作提供了一个坚实的定量基础,我们可以在此基础上研究并最终解决保护与操作之间的难题。
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引用次数: 0
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npj Quantum Information
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