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Decoding general error correcting codes and the role of complementarity 解码一般的纠错码和互补性的作用
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2025-01-10 DOI: 10.1038/s41534-024-00951-5
Yoshifumi Nakata, Takaya Matsuura, Masato Koashi

Among various classes of quantum error correcting codes (QECCs), non-stabilizer codes have rich properties and are of theoretical and practical interest. Decoding non-stabilizer codes is, however, a highly non-trivial task. In this paper, we show that a decoding circuit for Calderbank-Shor-Steane (CSS) codes can be straightforwardly extended to handle general QECCs. The key to the extension lies in the use of a pair of classical-quantum (CQ) codes associated with the QECC to be decoded. The decoding error of the proposed decoding circuit depends on the classical decoding errors of the CQ codes and their degree of complementarity. We demonstrate the power of the decoding circuit in a toy model of the black hole information paradox, improving decoding errors compared to previous results. In addition, we reveal that black hole dynamics may optimally encode quantum information but poorly encode classical information.

在各类量子纠错码(QECCs)中,非稳定器码具有丰富的性质,具有重要的理论和应用价值。然而,解码非稳定器代码是一项非常重要的任务。在本文中,我们证明了calderbank - shorr - steane (CSS)码的解码电路可以直接扩展到处理一般的qecc。扩展的关键在于使用与要解码的QECC相关的一对经典量子(CQ)代码。所提出的译码电路的译码误差取决于CQ码的经典译码误差及其互补性。我们在一个黑洞信息悖论的玩具模型中展示了解码电路的能力,与以前的结果相比,改进了解码误差。此外,我们揭示了黑洞动力学可能对量子信息进行最佳编码,但对经典信息的编码却很差。
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引用次数: 0
Towards a spectrally multiplexed quantum repeater 迈向频谱复用量子中继器
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2025-01-10 DOI: 10.1038/s41534-024-00946-2
Tanmoy Chakraborty, Antariksha Das, Hedser van Brug, Oriol Pietx-Casas, Peng-Cheng Wang, Gustavo Castro do Amaral, Anna L. Tchebotareva, Wolfgang Tittel

Extended quantum networks are based on quantum repeaters that often rely on the distribution of entanglement in an efficient and heralded fashion over multiple network nodes. Many repeater architectures require multiplexed sources of entangled photon pairs, multiplexed quantum memories, and photon detection that distinguishes between the multiplexed modes. Here we demonstrate the concurrent employment of (1) spectrally multiplexed cavity-enhanced spontaneous parametric down-conversion in a nonlinear crystal; (2) a virtually-imaged phased array that enables mapping of spectral modes onto distinct spatial modes for frequency-selective detection; and (3) a cryogenically-cooled Tm3+:LiNbO3 crystal that allows spectral filtering in an approach that anticipates its use as a spectrally-multiplexed quantum memory. Through coincidence measurements, we demonstrate quantum correlations between energy-correlated photon pairs and a strong reduction of the correlation strength between all other photons. This constitutes an important step towards a frequency-multiplexed quantum repeater.

扩展量子网络基于量子中继器,它通常依赖于在多个网络节点上以有效和预示的方式分配纠缠。许多中继器架构需要多路纠缠光子对的多路源、多路量子存储器和区分多路模式的光子检测。在这里,我们证明了(1)频谱复用腔增强自发参量下转换在非线性晶体中的同时应用;(2)虚拟成像相控阵,可以将频谱模式映射到不同的空间模式,用于频率选择检测;(3)低温冷却的Tm3+:LiNbO3晶体,该晶体允许光谱滤波,有望用作光谱复用量子存储器。通过符合测量,我们证明了能量相关光子对之间的量子相关性以及所有其他光子之间相关强度的强烈降低。这是迈向频率复用量子中继器的重要一步。
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引用次数: 0
Observation of multiple steady states with engineered dissipation 工程耗散下的多重稳态观测
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2025-01-07 DOI: 10.1038/s41534-025-00958-6
Li Li, Tong Liu, Xue-Yi Guo, He Zhang, Silu Zhao, Zheng-An Wang, Zhongcheng Xiang, Xiaohui Song, Yu-Xiang Zhang, Kai Xu, Heng Fan, Dongning Zheng

Simulating the dynamics of open quantum systems is essential in achieving practical quantum computation and understanding novel nonequilibrium behaviors. However, quantum simulation of a many-body system coupled to an engineered reservoir has yet to be fully explored in present-day experiment platforms. In this work, we introduce engineered noise into a one-dimensional ten-qubit superconducting quantum processor to emulate a generic many-body open quantum system. Our approach originates from the stochastic unravellings of the master equation. By measuring the end-to-end correlation, we identify multiple steady states stemmed from a strong symmetry, which is established on the modified Hamiltonian via Floquet engineering. Furthermore, we investigate the structure of the steady-state manifold by preparing initial states as a superposition of states within different sectors on a five-qubit chain. Our work provides a manageable and hardware-efficient strategy for the open-system quantum simulation.

模拟开放量子系统的动力学是实现实际量子计算和理解新的非平衡行为的必要条件。然而,在目前的实验平台上,耦合到工程水库的多体系统的量子模拟尚未得到充分的探索。在这项工作中,我们将工程噪声引入一维十量子比特超导量子处理器中,以模拟一般的多体开放量子系统。我们的方法源于主方程的随机展开。通过测量端到端相关性,我们确定了由强对称性引起的多个稳态,这种对称性是通过Floquet工程在修正的哈密顿量上建立的。此外,我们通过在五量子位链上制备初始状态作为不同扇区内状态的叠加来研究稳态流形的结构。我们的工作为开放系统量子模拟提供了一种易于管理和硬件高效的策略。
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引用次数: 0
A mid-circuit erasure check on a dual-rail cavity qubit using the joint-photon number-splitting regime of circuit QED 利用电路QED的联合光子数分裂机制对双轨道腔量子比特的中路擦除检查
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2025-01-07 DOI: 10.1038/s41534-024-00944-4
Stijn J. de Graaf, Sophia H. Xue, Benjamin J. Chapman, James D. Teoh, Takahiro Tsunoda, Patrick Winkel, John W. O. Garmon, Kathleen M. Chang, Luigi Frunzio, Shruti Puri, Robert J. Schoelkopf

Quantum control of a linear oscillator using a static dispersive coupling to a nonlinear ancilla underpins a wide variety of experiments in circuit QED. Extending this control to more than one oscillator while minimizing the required connectivity to the ancilla would enable hardware-efficient multi-mode entanglement and measurements. We show that the spectrum of an ancilla statically coupled to a single mode can be made to depend on the joint photon number in two modes by applying a strong parametric beamsplitter coupling between them. This ‘joint-photon number-splitting’ regime extends single-oscillator techniques to two-oscillator control, which we use to realize a hardware-efficient erasure check for a dual-rail qubit encoded in two superconducting cavities. This scheme leverages the high-fidelity beamsplitter coupling already required for single- and two-qubit gates while permitting minimal crosstalk between circuit elements. Furthermore, the flexibility to choose the pulse shape allows us to limit the susceptibility to different error channels. We use this scheme to detect leakage errors with a missed erasure fraction of (9.0 ± 0.5) × 10−4 while incurring an erasure rate of 2.92 ± 0.01% and a Pauli error rate of 0.31 ± 0.01%, both of which are dominated by cavity errors.

利用静态色散耦合到非线性辅助器件的线性振荡器的量子控制是电路QED中各种各样实验的基础。将这种控制扩展到多个振荡器,同时最大限度地减少与辅助设备的连接,将实现硬件高效的多模纠缠和测量。我们表明,通过在两个模式之间施加强参数分束器耦合,可以使与单模静态耦合的辅助器件的光谱依赖于两个模式中的联合光子数。这种“联合光子数分裂”机制将单振荡器技术扩展到双振荡器控制,我们使用它来实现在两个超导腔中编码的双轨道量子比特的硬件高效擦除检查。该方案利用了单量子位和双量子位门所需的高保真分束器耦合,同时允许电路元件之间的串扰最小。此外,选择脉冲形状的灵活性使我们能够限制对不同误差通道的敏感性。我们使用该方案检测漏除率为(9.0±0.5)× 10−4,漏除率为2.92±0.01%,泡利错误率为0.31±0.01%,两者均以空腔误差为主。
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引用次数: 0
Efficient fault-tolerant implementations of non-Clifford gates with reconfigurable atom arrays 具有可重构原子阵列的非clifford门的高效容错实现
IF 7.6 1区 物理与天体物理 Q1 PHYSICS, APPLIED Pub Date : 2024-12-31 DOI: 10.1038/s41534-024-00945-3
Wang Yifei, Yixu Wang, Yu-An Chen, Wenjun Zhang, Tao Zhang, Jiazhong Hu, Wenlan Chen, Yingfei Gu, Zi-Wen Liu

To achieve scalable universal quantum computing, we need to implement a universal set of logical gates fault-tolerantly, for which the main difficulty lies with non-Clifford gates. We demonstrate that several characteristic features of the reconfigurable atom array platform are inherently well-suited for addressing this key challenge, potentially leading to significant advantages in fidelity and efficiency. Specifically, we consider a series of different strategies, including magic state distillation, concatenated code array, and fault-tolerant logical multi-controlled-Z gates, leveraging key platform features such as nonlocal connectivity, parallel gate action, collective mobility, and native multi-controlled-Z gates. Our analysis provides valuable insights into the efficient experimental realization of logical gates, serving as a guide for the full-cycle demonstration of fault-tolerant quantum computation with reconfigurable atom arrays.

为了实现可扩展的通用量子计算,我们需要实现一组通用的容错逻辑门,其主要难点在于非clifford门。我们证明了可重构原子阵列平台的几个特征本质上非常适合解决这一关键挑战,可能导致保真度和效率方面的显着优势。具体来说,我们考虑了一系列不同的策略,包括魔法状态升华、串联代码阵列和容错逻辑多控z门,利用关键的平台特性,如非本地连接、并行门动作、集体移动性和本地多控z门。我们的分析为逻辑门的有效实验实现提供了有价值的见解,为可重构原子阵列的容错量子计算的全周期演示提供了指导。
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引用次数: 0
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
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npj Quantum Information
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