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Daemonic ergotropy of Gaussian quantum states and the role of measurement-induced purification via general-dyne detection 高斯量子态的守护自恋性和通过通用达因检测的测量诱导纯化的作用
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-01 DOI: 10.1088/2058-9565/ae2200
K H Kua, Alessio Serafini and Marco G Genoni
According to the Maxwell demon paradigm, additional work can be extracted from a classical or quantum system by exploiting information obtained through measurements on a correlated ancillary system. In the quantum setting, the maximum work extractable via unitary operations in such measurement-assisted protocols is referred to as daemonic ergotropy. In this work, we explore this concept in the context of continuous-variable quantum systems, focusing on Gaussian states and general-dyne (Gaussian) measurements. We derive a general expression for the daemonic ergotropy and examine two key scenarios: (i) bipartite Gaussian states where a general-dyne measurement is performed on one of the two parties, and (ii) open Gaussian quantum systems under continuous general-dyne monitoring of the environment. Remarkably, we show that for single-mode Gaussian states, the ergotropy depends solely on the state’s energy and purity. This enables us to express the daemonic ergotropy as a simple function of the unconditional energy and the purity of the conditional states, revealing that enhanced daemonic work extraction is directly linked to measurement-induced purification. We illustrate our findings through two paradigmatic examples: extracting daemonic work from a two-mode squeezed thermal state and from a continuously monitored optical parametric oscillator. In both case we identify the optimal general-dyne strategies that maximize the conditional purity and, in turn, the daemonic ergotropy.
根据麦克斯韦妖范式,通过利用在相关辅助系统上测量获得的信息,可以从经典系统或量子系统中提取额外的功。在量子环境中,通过这种测量辅助协议中的统一操作可提取的最大功被称为守护自洽性。在这项工作中,我们在连续变量量子系统的背景下探索了这个概念,重点是高斯态和一般达因(高斯)测量。我们推导了守护自恋的一般表达式,并研究了两个关键场景:(i)在两方中的一方进行通用达因测量的二部高斯状态,以及(ii)在连续通用达因监测环境下的开放高斯量子系统。值得注意的是,我们证明了对于单模高斯态,自恋性仅取决于态的能量和纯度。这使我们能够将守护自恋性表达为无条件能量和条件状态纯度的简单函数,揭示了增强的守护功提取与测量诱导的净化直接相关。我们通过两个典型的例子来说明我们的发现:从双模压缩热态和连续监测的光学参量振荡器中提取守护功。在这两种情况下,我们都确定了最优的通用达因策略,使条件纯度最大化,进而使守护自恋性最大化。
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引用次数: 0
Long-ranged gates in quantum computation architectures with limited connectivity 连接受限的量子计算体系结构中的远程门
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-11-28 DOI: 10.1088/2058-9565/ae20b6
Wolfgang Dür
We propose a quantum computation architecture based on geometries with nearest-neighbor interactions, including e.g. planar structures. We show how to efficiently split the role of qubits into data and entanglement-generation qubits. Multipartite entangled states, e.g. 2D cluster states, are generated among the latter, and flexibly transformed via mid-circuit measurements to multiple, long-ranged Bell states, which are used to perform several two-qubit gates in parallel on data qubits. We introduce planar architectures with n data and n auxiliary qubits that allow one to perform long-ranged two-qubit gates simultaneously, with only one round of nearest neighbor gates and one round of mid-circuit measurements. We also show that our approach is applicable in existing superconducting quantum computation architectures, with only a constant overhead.
我们提出了一种基于具有最近邻相互作用的几何形状的量子计算体系结构,包括平面结构。我们展示了如何有效地将量子比特的角色划分为数据和纠缠生成量子比特。在后者之间产生多部纠缠态,例如二维簇态,并通过中路测量灵活地转换为多个远程贝尔态,用于在数据量子位上并行执行多个双量子位门。我们引入了具有n个数据和n个辅助量子比特的平面架构,允许一个人同时执行远程两个量子比特门,只有一轮最近邻门和一轮中路测量。我们还表明,我们的方法适用于现有的超导量子计算架构,只有恒定的开销。
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引用次数: 0
Architectures and random properties of symplectic quantum circuits 辛量子电路的结构与随机特性
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-11-27 DOI: 10.1088/2058-9565/ae20b5
Diego García-Martín, Paolo Braccia and M Cerezo
Parametrized and random unitary (or orthogonal) n-qubit circuits play a central role in quantum information. As such, one could naturally assume that circuits implementing symplectic transformations would attract similar attention. However, this is not the case, as —the group of d × d unitary symplectic matrices—has thus far been overlooked. In this work, we aim at starting to fill this gap. We begin by presenting a universal set of generators for the symplectic algebra , consisting of one- and two-qubit Pauli operators acting on neighboring sites in a one-dimensional lattice. Here, we uncover two critical differences between such set, and equivalent ones for unitary and orthogonal circuits. Namely, we find that the operators in cannot generate arbitrary local symplectic unitaries and that they are not translationally invariant. We then review the Schur–Weyl duality between the symplectic group and the Brauer algebra, and use tools from Weingarten calculus to prove that Pauli measurements at the output of Haar random symplectic circuits can converge to Gaussian processes. As a by-product, such analysis provides us with concentration bounds for Pauli measurements in circuits that form t-designs over . To finish, we present tensor-network tools to analyze shallow random symplectic circuits, and we use these to numerically show that computational-basis measurements anti-concentrate at logarithmic depth.
参数化和随机幺正(或正交)n量子位电路在量子信息中起着核心作用。因此,人们自然会认为实现辛变换的电路也会引起类似的注意。然而,事实并非如此,因为d × d酉辛矩阵群迄今为止一直被忽略。在这项工作中,我们的目标是开始填补这一空白。我们首先提出了辛代数的一组通用生成器,由一维晶格中作用于相邻点的一量子位和二量子位泡利算子组成。在这里,我们揭示了这种集合之间的两个关键区别,以及幺正电路和正交电路的等价区别。即,我们发现中的算子不能生成任意局部辛酉,并且它们不是平移不变的。然后,我们回顾了辛群和Brauer代数之间的Schur-Weyl对偶性,并利用Weingarten微积分的工具证明了Haar随机辛电路输出处的泡利测量可以收敛到高斯过程。作为一种副产品,这种分析为我们提供了泡利测量在形成t型设计的电路中的浓度界限。最后,我们提出了张量网络工具来分析浅层随机辛电路,并使用这些工具在数值上表明,基于计算的测量在对数深度上不集中。
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引用次数: 0
Quantum thermal rectification via state-dependent two-photon dissipation 通过状态相关双光子耗散的量子热整流
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-11-27 DOI: 10.1088/2058-9565/ae20b7
M Tahir Naseem
Controlling heat flow at the quantum level is essential for the development of next-generation thermal devices. We investigate thermal rectification in a quantum harmonic oscillator coupled to two thermal baths via both single-photon (linear) and two-photon (nonlinear) exchange processes. At low temperatures, rectification emerges from a state-dependent thermal blockade: the cold bath drives the oscillator into low-occupancy states, suppressing two-photon emission and impeding energy flow. At higher temperatures, rectification is governed by the asymmetric scaling of higher-order moments associated with two-photon absorption and emission. We systematically explore various bath coupling configurations and identify the conditions under which nonlinear dissipation leads to directional heat flow. Furthermore, we propose an implementation scheme based on coupling an auxiliary two-level system to the oscillator, enabling effective two-photon dissipation. We also extend our analysis to three-photon processes and show that rectification increases systematically with photon interaction order. These results contribute to the understanding of quantum heat transport in the presence of nonlinear dissipation and may support future efforts in nanoscale thermal rectification design.
在量子水平上控制热流对于下一代热器件的发展至关重要。我们研究了通过单光子(线性)和双光子(非线性)交换过程耦合到两个热浴的量子谐振子中的热整流。在低温下,从状态相关的热阻塞中出现整流:冷浴将振荡器驱动到低占用状态,抑制双光子发射并阻碍能量流动。在较高的温度下,整流是由与双光子吸收和发射相关的高阶矩的不对称标度控制的。我们系统地探讨了各种槽体耦合结构,并确定了非线性耗散导致定向热流的条件。此外,我们还提出了一种基于辅助双能级系统与振荡器耦合的实现方案,从而实现有效的双光子耗散。我们还将我们的分析扩展到三光子过程,并表明整流随着光子相互作用的顺序而系统地增加。这些结果有助于理解非线性耗散存在下的量子热输运,并可能支持未来纳米级热整流设计的努力。
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引用次数: 0
Finite-key security analysis of the decoy-state BB84 QKD with passive measurement 带被动测量的诱饵态BB84 QKD有限密钥安全性分析
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-11-26 DOI: 10.1088/2058-9565/ae20b9
Akihiro Mizutani, Shun Kawakami and Go Kato
The decoy-state Bennett–Brassard 1984 (BB84) quantum key distribution (QKD) protocol is widely regarded as the de facto standard for practical implementations. On the receiver side, passive basis choice is attractive because it significantly reduces the need for random number generators and eliminates the need for optical modulators. Despite these advantages, a finite-key analytical security proof for the decoy-state BB84 protocol, where the basis is chosen passively with a biased probability, has been lacking. In this work, we present a simple analytical finite-key security proof for this setting, yielding a closed-form secret-key rate formula that can be directly evaluated using experimentally accessible parameters. Numerical simulations show that the key rates of passive- and active-measurement implementations are nearly identical, indicating that passive measurement does not compromise key-generation efficiency in practical QKD systems.
诱骗状态Bennett-Brassard 1984 (BB84)量子密钥分发(QKD)协议被广泛认为是实际实现的事实上的标准。在接收端,无源基选择是有吸引力的,因为它大大减少了对随机数发生器的需求,并消除了对光调制器的需求。尽管有这些优点,诱饵状态BB84协议的有限密钥分析安全性证明仍然缺乏,其中基础是被动地以有偏差的概率选择的。在这项工作中,我们为这种设置提出了一个简单的解析有限密钥安全性证明,得出了一个封闭形式的秘密密钥率公式,该公式可以使用实验可访问的参数直接评估。数值模拟表明,被动测量和主动测量实现的密钥速率几乎相同,表明被动测量不会影响实际QKD系统中的密钥生成效率。
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引用次数: 0
Evidence of quantum scaling advantage in approximate optimization for energy coalition formation with 100+ agents 量子尺度优势在100+ agent的能量联盟形成近似优化中的证据
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-11-24 DOI: 10.1088/2058-9565/ae1c68
Naeimeh Mohseni, Thomas Morstyn, Corey O’Meara, David Bucher, Jonas Nüßlein and Giorgio Cortiana
The formation of energy communities is pivotal for advancing decentralized and sustainable energy management. Within this context, coalition structure generation (CSG) emerges as a promising framework. The complexity of CSG grows rapidly with the number of agents, making classical solvers impractical for even moderate sizes. This suggests CSG as an ideal candidate for benchmarking quantum algorithms against classical ones. Facing ongoing challenges in attaining computational quantum advantage for exact optimization, we pivot our focus to benchmarking quantum and classical solvers for approximate optimization. Approximate optimization is particularly critical for industrial use cases requiring real-time optimization, where finding high-quality solutions quickly is often more valuable than achieving exact solutions more slowly. Our findings indicate that quantum annealing (QA) on DWave can achieve solutions of comparable quality to our best classical solver, but with more favorable runtime scaling, showcasing an advantage. This advantage is observed when compared to solvers, such as Tabu search, simulated annealing, and the state-of-the-art solver Gurobi in finding approximate solutions for energy community formation involving over 100 agents. DWave also surpasses 1-round QAOA on IBM hardware. Our findings represent the largest benchmark of quantum approximate optimizations for a real-world dense model beyond the hardware’s native topology, where D-Wave demonstrates a scaling advantage.
能源社区的形成对于推进分散和可持续的能源管理至关重要。在这种背景下,联盟结构生成(CSG)作为一个有前途的框架出现。随着智能体数量的增加,CSG的复杂性迅速增长,这使得经典的求解方法即使对于中等规模的智能体也是不切实际的。这表明CSG是对量子算法进行基准测试的理想候选者。面对获得精确优化计算量子优势的持续挑战,我们将重点放在对量子和经典求解器进行近似优化的基准测试上。近似优化对于需要实时优化的工业用例尤其重要,在这种情况下,快速找到高质量的解决方案通常比更慢地获得精确的解决方案更有价值。我们的研究结果表明,DWave上的量子退火(QA)可以获得与我们最好的经典求解器相当质量的解,但具有更有利的运行时缩放,显示出优势。当与求解器(如禁忌搜索、模拟退火和最先进的求解器Gurobi)在寻找涉及100多个代理的能源群落形成的近似解时,可以观察到这种优势。DWave在IBM硬件上也超过了1轮QAOA。我们的研究结果代表了超越硬件原生拓扑的真实世界密集模型的量子近似优化的最大基准,其中D-Wave展示了缩放优势。
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引用次数: 0
Diagnosing crosstalk in large-scale QPUs using zero-entropy classical shadows 基于零熵经典阴影的大规模量子处理器串扰诊断
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-11-21 DOI: 10.1088/2058-9565/ae1e99
J A Montañez-Barrera, G P Beretta, Kristel Michielsen and Michael R von Spakovsky
As quantum processing units (QPUs) scale toward hundreds of qubits, diagnosing noise-induced correlations (crosstalk) becomes critical for reliable quantum computation. In this work, we introduce Zero-Entropy Classical Shadows (ZECS), a diagnostic tool that uses information of a rank-one quantum state tomography reconstruction from classical shadow information to make a crosstalk diagnosis. We use ZECS on trapped ion and superconductive QPUs including ionq_forte (36 qubits), ibm_brisbane (127 qubits), and ibm_fez (156 qubits), using from 1000 to 6000 samples. With these samples, we use the ZECS to characterize crosstalk among disjoint qubit subsets across the full hardware. This information is then used to select low-crosstalk qubit subsets on ibm_fez for executing the quantum approximate optimization algorithm on a 20-qubit problem. Compared to the best qubit selection via Qiskit transpilation, our method improves solution quality by 10% and increases algorithmic coherence by 33%. ZECS offers a scalable and measurement-efficient approach to diagnosing crosstalk in large-scale QPUs.
随着量子处理单元(qpu)向数百个量子位扩展,诊断噪声引起的相关性(串扰)对于可靠的量子计算变得至关重要。在这项工作中,我们引入了零熵经典阴影(Zero-Entropy classic Shadows, ZECS),这是一种诊断工具,它利用经典阴影信息重建的秩一量子态层析成像信息进行串扰诊断。我们在捕获离子和超导QPUs上使用ZECS,包括ionq_forte(36个量子比特),ibm_brisbane(127个量子比特)和ibm_fez(156个量子比特),使用1000到6000个样本。有了这些样本,我们使用ZECS来表征整个硬件上不相交量子位子集之间的串扰。然后使用该信息在ibm_fez上选择低串扰量子位子集,以便在20量子位问题上执行量子近似优化算法。与Qiskit转译的最佳量子位选择相比,我们的方法将溶液质量提高了10%,将算法一致性提高了33%。ZECS提供了一种可扩展且测量效率高的方法来诊断大规模qpu中的串扰。
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引用次数: 0
Metrological symmetries in singular quantum multi-parameter estimation 奇异量子多参数估计中的计量对称性
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-11-20 DOI: 10.1088/2058-9565/ae1757
George Mihailescu, Saubhik Sarkar, Abolfazl Bayat, Steve Campbell and Andrew K Mitchell
The theoretical foundation of quantum sensing is rooted in the Cramér–Rao formalism, which establishes quantitative precision bounds for a given quantum probe. In many practical scenarios, where more than one parameter is unknown, the multi-parameter Cramér–Rao bound (CRB) applies. Since this is a matrix inequality involving the inverse of the quantum Fisher information matrix (QFIM), the formalism breaks down when the QFIM is singular. In this paper, we examine the physical origins of such singularities, showing that they result from an over-parameterization on the metrological level. This is itself caused by emergent metrological symmetries, whereby the same set of measurement outcomes are obtained for different combinations of system parameters. Although the number of effective parameters is equal to the number of non-zero QFIM eigenvalues, the Cramér–Rao formalism typically does not provide information about the effective parameter encoding. Instead, we demonstrate through a series of concrete examples that Bayesian estimation can provide deep insights. In particular, the metrological symmetries appear in the Bayesian posterior distribution as lines of persistent likelihood running through the space of unknown parameters. These lines are contour lines of the effective parameters which, through suitable parameter transformations, can be estimated and follow their own effective CRBs.
量子传感的理论基础植根于cram - rao形式,它为给定的量子探针建立了定量精度界限。在许多实际场景中,有多个参数是未知的,多参数cram - rao界(CRB)适用。由于这是一个涉及量子费雪信息矩阵(QFIM)逆的矩阵不等式,当QFIM为奇异时,该形式就失效了。在本文中,我们研究了这种奇点的物理起源,表明它们是由计量水平上的过度参数化造成的。这本身是由新兴的计量对称性引起的,即对于不同的系统参数组合获得相同的测量结果。虽然有效参数的数量等于非零QFIM特征值的数量,但是cram r - rao形式通常不提供有关有效参数编码的信息。相反,我们通过一系列具体的例子来证明贝叶斯估计可以提供深刻的见解。特别是,计量对称性在贝叶斯后验分布中表现为贯穿未知参数空间的持久似然线。这些线是有效参数的等高线,通过适当的参数变换,可以估计并遵循它们自己的有效crb。
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引用次数: 0
Quantum noise modeling through reinforcement learning 通过强化学习建立量子噪声模型
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-11-20 DOI: 10.1088/2058-9565/ae1e98
Simone Bordoni, Andrea Papaluca, Piergiorgio Buttarini, Alejandro Sopena, Stefano Giagu and Stefano Carrazza
In the current era of quantum computing, robust and efficient tools are essential to bridge the gap between simulations and quantum hardware execution. In this work, we introduce a machine learning approach to characterize the noise impacting a quantum chip and emulate it during simulations. Our algorithm leverages reinforcement learning (RL), offering increased flexibility in reproducing various noise models compared to conventional techniques such as randomized benchmarking or heuristic noise models. The effectiveness of the RL agent has been validated through simulations and testing on real superconducting qubits. Additionally, we provide practical use-case examples for the study of renowned quantum algorithms.
在当前的量子计算时代,强大而高效的工具对于弥合模拟和量子硬件执行之间的差距至关重要。在这项工作中,我们引入了一种机器学习方法来表征影响量子芯片的噪声,并在模拟过程中对其进行模拟。我们的算法利用强化学习(RL),与随机基准测试或启发式噪声模型等传统技术相比,在再现各种噪声模型方面提供了更大的灵活性。通过在实际超导量子比特上的模拟和测试,验证了RL代理的有效性。此外,我们还提供了著名量子算法研究的实际用例。
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引用次数: 0
Solving the travelling salesman problem using Bloch sphere encoding 用布洛赫球编码求解旅行商问题
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-11-20 DOI: 10.1088/2058-9565/ae1e9a
Kapil Goswami, Gagan Anekonda Veereshi, Peter Schmelcher and Rick Mukherjee
The travelling salesman problem (TSP) is a popular NP-hard combinatorial optimization problem that requires finding the optimal way for a salesman to travel through different cities once and return to the initial city. The existing methods of solving TSPs on quantum systems are either gate-based or binary variable-based encoding. Both approaches are resource-expensive in terms of the number of qubits, while performing worse compared to existing classical algorithms, even for small-sized problems. A novel encoding scheme is needed to map the TSP problem onto a quantum system, which is addressed in this work. We introduce a distinct geometric approach to encode the TSP on a single qubit and present a quantum-inspired algorithm to solve the problem by invoking the principle of quantum superposition. The cities are represented as quantum states on the Bloch sphere, while the preparation of superposition states allows us to traverse multiple paths at once. The underlying framework of our algorithm is a quantum-inspired version of the classical Brachistochrone approach. Optimal control methods are employed to create a selective superposition of the quantum states to find the shortest route of a given TSP. The numerical simulations solve a sample of four to nine cities for which exact solutions are obtained. The algorithm can be implemented on any quantum platform capable of efficiently rotating a qubit and allowing state tomography measurements. For the TSP problem sizes considered in this work, our algorithm is more resource-efficient and accurate than existing quantum algorithms, with the potential for scalability.
旅行推销员问题(TSP)是一个流行的NP-hard组合优化问题,它要求找到一个推销员在不同城市旅行一次并返回初始城市的最优路径。现有的求解量子系统tsp的方法有基于门的编码和基于二进制变量的编码。就量子位的数量而言,这两种方法都是资源昂贵的,而与现有的经典算法相比,即使对于小型问题,性能也更差。为了将TSP问题映射到量子系统中,需要一种新的编码方案,本文对此进行了研究。我们引入了一种独特的几何方法在单个量子比特上对TSP进行编码,并提出了一种量子启发算法,通过调用量子叠加原理来解决这个问题。城市被表示为布洛赫球上的量子态,而叠加态的制备允许我们一次穿越多条路径。我们算法的底层框架是经典Brachistochrone方法的量子启发版本。采用最优控制方法创建量子态的选择性叠加,以找到给定TSP的最短路径。数值模拟得到了4 ~ 9个城市的精确解。该算法可以在任何能够有效旋转量子比特并允许状态层析测量的量子平台上实现。对于本研究中考虑的TSP问题规模,我们的算法比现有的量子算法更具资源效率和准确性,具有可扩展性的潜力。
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引用次数: 0
期刊
Quantum Science and Technology
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