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GPU-accelerated Effective Hamiltonian Calculator gpu加速有效哈密顿计算器
IF 6.4 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-15 DOI: 10.22331/q-2025-12-15-1946
Abhishek Chakraborty, Taylor L. Patti, Brucek Khailany, Andrew N. Jordan, Anima Anandkumar
Effective Hamiltonian calculations for large quantum systems can be both analytically intractable and numerically expensive using standard techniques. In this manuscript, we present numerical techniques inspired by Nonperturbative Analytical Diagonalization (NPAD) and the Magnus expansion for the efficient calculation of effective Hamiltonians. While these tools are appropriate for a wide array of applications, we here demonstrate their utility for models that can be realized in circuit-QED settings. Our numerical techniques are available as an open-source Python package, $text{qCH}_text{eff}$, which is available on GitHub and PyPI. We use the CuPy library for GPU-acceleration and report up to 15x speedup on GPU over CPU for NPAD, and up to 42x speedup for the Magnus expansion (compared to QuTiP), for large system sizes.
使用标准技术对大量子系统进行有效的哈密顿计算既难于解析又难于计算。在这篇文章中,我们提出了受非微扰解析对角化(NPAD)和Magnus展开启发的数值技术,用于有效哈密顿量的有效计算。虽然这些工具适用于广泛的应用程序,但我们在这里演示它们对于可以在电路qed设置中实现的模型的实用程序。我们的数值技术可以作为一个开源Python包获得,$text{qCH}_text{eff}$,它可以在GitHub和PyPI上获得。我们使用CuPy库进行GPU加速,并报告NPAD的GPU比CPU加速高达15倍,Magnus扩展的加速高达42倍(与QuTiP相比),用于大型系统规模。
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引用次数: 0
Finite-Key Analysis of Quantum Key Distribution with Characterized Devices Using Entropy Accumulation 基于熵积累的特征器件量子密钥分配的有限密钥分析
IF 6.4 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-12 DOI: 10.22331/q-2025-12-12-1941
Ian George, Jie Lin, Thomas van Himbeeck, Kun Fang, Norbert Lütkenhaus
The Entropy Accumulation Theorem (EAT) was introduced to significantly improve the finite-size rates for device-independent quantum information processing tasks such as device-independent quantum key distribution (QKD). A natural question would be whether it also improves the rates for device-dependent QKD. In this work, we provide an affirmative answer to this question. We present new tools for applying the EAT in the device-dependent setting. We present sufficient conditions for the Markov chain conditions to hold as well as general algorithms for constructing the needed min-tradeoff function. Utilizing Dupuis' recent privacy amplification without smoothing result, we improve the key rate by optimizing the sandwiched Rényi entropy directly rather than considering the traditional smooth min-entropy. We exemplify these new tools by considering several examples including the BB84 protocol with the qubit-based version and with a realistic parametric down-conversion source, the six-state four-state protocol and a high-dimensional analog of the BB84 protocol.
引入熵积累定理(EAT)可以显著提高与设备无关的量子信息处理任务(如与设备无关的量子密钥分发(QKD))的有限大小速率。一个自然的问题是,它是否也提高了依赖于设备的QKD的比率。在这项工作中,我们对这个问题提供了一个肯定的答案。我们提出了在设备相关设置中应用EAT的新工具。我们给出了马尔可夫链条件成立的充分条件,以及构造最小权衡函数的一般算法。利用Dupuis最近的无平滑结果的隐私放大算法,我们通过直接优化夹在中间的r最小熵来提高密钥率,而不是考虑传统的平滑最小熵。我们通过考虑几个例子来举例说明这些新工具,包括基于量子位的BB84协议版本和现实参数下转换源,六状态四状态协议和BB84协议的高维模拟。
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引用次数: 0
Towards practical secure delegated quantum computing with semi-classical light 面向实用的半经典光安全委托量子计算
IF 6.4 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-12 DOI: 10.22331/q-2025-12-12-1943
Boris Bourdoncle, Pierre-Emmanuel Emeriau, Paul Hilaire, Shane Mansfield, Luka Music, Stephen Wein
Secure Delegated Quantum Computation (SDQC) protocols are a vital piece of the future quantum information processing global architecture since they allow end-users to perform their valuable computations on remote quantum servers without fear that a malicious quantum service provider or an eavesdropper might acquire some information about their data or algorithm. They also allow end-users to check that their computation has been performed as they have specified it.

However, existing protocols all have drawbacks that limit their usage in the real world. Most require the client to either operate a single-qubit source or perform single-qubit measurements, thus requiring them to still have some quantum technological capabilities albeit restricted, or require the server to perform operations which are hard to implement on real hardware (e.g isolate single photons from laser pulses and polarisation-preserving photon-number quantum non-demolition measurements). Others remove the need for quantum communications entirely but this comes at a cost in terms of security guarantees and memory overhead on the server's side.

We present an SDQC protocol which drastically reduces the technological requirements of both the client and the server while providing information-theoretic composable security. More precisely, the client only manipulates an attenuated laser pulse, while the server only handles interacting quantum emitters with a structure capable of generating spin-photon entanglement. The quantum emitter acts as both a converter from coherent laser pulses to polarisation-encoded qubits and an entanglement generator. Such devices have recently been used to demonstrate the largest entangled photonic state to date, thus hinting at the readiness of our protocol for experimental implementations.
安全委托量子计算(SDQC)协议是未来量子信息处理全球架构的重要组成部分,因为它们允许最终用户在远程量子服务器上执行有价值的计算,而不必担心恶意量子服务提供商或窃听者可能获取有关其数据或算法的一些信息。它们还允许最终用户检查他们的计算是否按照他们指定的方式执行。然而,现有的协议都有缺点,限制了它们在现实世界中的使用。大多数要求客户端操作单量子位源或执行单量子位测量,因此要求他们仍然具有一些量子技术能力,尽管受到限制,或者要求服务器执行难以在实际硬件上实现的操作(例如从激光脉冲中分离单个光子和保持偏振的光子数量子非拆除测量)。另一些则完全消除了对量子通信的需求,但这是以服务器端的安全保证和内存开销为代价的。我们提出了一种SDQC协议,它在提供信息论的可组合安全性的同时,大大降低了客户端和服务器的技术要求。更准确地说,客户端只操纵衰减的激光脉冲,而服务器只处理与能够产生自旋光子纠缠的结构相互作用的量子发射器。量子发射器既是相干激光脉冲到偏振编码量子比特的转换器,也是纠缠发生器。这些装置最近被用来展示迄今为止最大的纠缠光子态,从而暗示我们的协议已经准备好进行实验实现。
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引用次数: 0
Exploiting many-body localization for scalable variational quantum simulation 利用多体定位进行可扩展变分量子模拟
IF 6.4 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-12 DOI: 10.22331/q-2025-12-12-1942
Chenfeng Cao, Yeqing Zhou, Swamit Tannu, Nic Shannon, Robert Joynt
Variational quantum algorithms (VQAs) represent a promising pathway toward achieving practical quantum advantage on near-term hardware. Despite this promise, for generic, expressive ansätze, their scalability is critically hindered by barren plateaus–regimes of exponentially vanishing gradients. We demonstrate that initializing a hardware-efficient, Floquet-structured ansatz within the many-body localized (MBL) phase mitigates barren plateaus and enhances algorithmic trainability. Through analysis of the inverse participation ratio, entanglement entropy, and a novel low-weight stabilizer Rényi entropy, we characterize a distinct MBL-thermalization transition. Below a critical kick strength, the circuit avoids forming a unitary 2-design, exhibits robust area-law entanglement, and maintains non-vanishing gradients. Leveraging this MBL regime facilitates the efficient variational preparation of ground states for several model Hamiltonians with significantly reduced computational resources. Crucially, experiments on a 127-qubit superconducting processor provide evidence for the preservation of trainable gradients in the MBL phase for a kicked Heisenberg chain, validating our approach on contemporary noisy hardware. Our findings position MBL-based initialization as a viable strategy for developing scalable VQAs and motivate broader integration of localization into quantum algorithm design.
变分量子算法(VQAs)代表了在近期硬件上实现实际量子优势的有希望的途径。尽管有这样的前景,但对于通用的、有表现力的ansätze来说,它们的可扩展性受到了指数级消失梯度的贫瘠高原制度的严重阻碍。我们证明了在多体局部化(MBL)阶段初始化一个硬件高效的、floquet结构的分析可以缓解贫瘠的高原,提高算法的可训练性。通过对反参与比、纠缠熵和一种新型低质量稳定剂r熵的分析,我们描述了一种明显的mbl -热化转变。在临界踢腿强度以下,电路避免形成单一的2-设计,表现出强大的面积律纠缠,并保持不消失的梯度。利用这种MBL制度,可以有效地为几个模型哈密顿量提供基态的变分准备,大大减少了计算资源。至关重要的是,在127量子位超导处理器上的实验提供了证据,证明了在踢出的海森堡链的MBL阶段保留了可训练的梯度,验证了我们在当代嘈杂硬件上的方法。我们的研究结果将基于mbl的初始化定位为开发可扩展vqa的可行策略,并激励将定位更广泛地集成到量子算法设计中。
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引用次数: 0
Phase error rate estimation in QKD with imperfect detectors 不完善检测器QKD中的相位误差率估计
IF 6.4 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-11 DOI: 10.22331/q-2025-12-11-1937
Devashish Tupkary, Shlok Nahar, Pulkit Sinha, Norbert Lütkenhaus
We present a finite-size security proof of the decoy-state BB84 QKD protocol against coherent attacks, using entropic uncertainty relations, for imperfect detectors. We apply this result to the case of detectors with imperfectly characterized basis-efficiency mismatch. Our proof works by obtaining a suitable bound on the phase error rate, without requiring any new modifications to the protocol steps or hardware. It is applicable to imperfectly characterized detectors, and only requires the maximum relative difference in detection efficiencies and dark count rates of the detectors to be characterized. Moreover, our proof allows Eve to choose detector efficiencies and dark count rates in their allowed ranges in each round, thereby addressing an important problem of detector side channels. We prove security in the variable-length framework, where users are allowed to adaptively determine the length of key to be produced, and number of bits to be used for error-correction, based on observations made during the protocol. We quantitatively demonstrate the effect of basis-efficiency mismatch by applying our results to the decoy-state BB84 protocol.
我们提出了一个有限大小的诱饵状态BB84 QKD协议对抗相干攻击的安全证明,使用熵不确定性关系,对于不完美的检测器。我们将这一结果应用于具有不完全表征的基效率不匹配的检测器的情况。我们的证明通过获得相位错误率的合适绑定来工作,而不需要对协议步骤或硬件进行任何新的修改。它适用于不完全表征的探测器,只需要表征探测器的检测效率和暗计数率的最大相对差。此外,我们的证明允许Eve在每轮的允许范围内选择检测器效率和暗计数率,从而解决检测器侧信道的重要问题。我们在可变长度框架中证明了安全性,其中允许用户根据协议期间的观察自适应地确定要生成的密钥的长度,以及用于纠错的位数。通过将我们的结果应用于诱饵状态BB84协议,我们定量地证明了基效率不匹配的影响。
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引用次数: 0
Purely quantum memory in closed systems observed via imperfect measurements 通过不完美的测量观察到的封闭系统中的纯量子存储器
IF 6.4 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-11 DOI: 10.22331/q-2025-12-11-1938
Jorge Tabanera-Bravo, Aljaz Godec
The detection and quantification of non-Markovianity, a.k.a. memory, in quantum systems is a central problem in the theory of open quantum systems. There memory is as a result of the interaction between the system and its environment. Little is known, however, about memory effects induced by imperfect measurements on closed systems, where an entanglement with the environment is not possible. We investigate the emergence and characteristics of memory in closed systems observed via imperfect stroboscopic quantum measurements yielding coarse-grained outcomes. We consider ideal and two kinds of imperfect measurements: von Neumann measurements–the analogue of classical lumping–which destroy any coherence in the system, and $textit{genuinely quantum-lumping}$ Lüders measurements preserving certain quantum correlations. Whereas the conditions for Markov dynamics under von Neumann lumping are the same as for classical dynamics, quantum-lumping requires stronger conditions, i.e. the absence of any detectable coherence. We introduce the concept of $textit{purely quantum memory}$ having no classical counterpart. We illustrate our results with a quantum walk on a lattice and discuss their implications for dissipative dynamics and decoherence effects induced by more realistic measurements.
量子系统中非马尔可夫性(即记忆)的检测和量化是开放量子系统理论中的一个核心问题。记忆是系统和环境相互作用的结果。然而,对于封闭系统中不完美测量所引起的记忆效应,我们所知甚少,在封闭系统中,不可能与环境纠缠。我们研究了通过不完美频闪量子测量产生粗粒度结果观察到的封闭系统中记忆的出现和特征。我们考虑了理想测量和两种不完美测量:冯·诺依曼测量——经典集块的类似物——破坏了系统中的任何相干性,以及$textit{genuinely quantum-lumping}$ lders测量,保留了某些量子相关性。尽管冯诺依曼集总下马尔可夫动力学的条件与经典动力学相同,但量子集总需要更强的条件,即没有任何可检测的相干性。我们引入没有经典对应的$textit{purely quantum memory}$概念。我们用晶格上的量子行走来说明我们的结果,并讨论了它们对耗散动力学和由更实际的测量引起的退相干效应的影响。
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引用次数: 0
Short remarks on shallow unitary circuits 关于浅幺正电路的简短说明
IF 6.4 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-11 DOI: 10.22331/q-2025-12-11-1940
Jeongwan Haah
(i) We point out that every local unitary circuit of depth smaller than the linear system size is easily distinguished from a global Haar random unitary if there is a conserved quantity that is a sum of local operators. This is always the case with a continuous onsite symmetry or with a local energy conservation law. (ii) We explain a simple algorithm for a formulation of the shallow unitary circuit learning problem and relate it to an open question on strictly locality-preserving unitaries (quantum cellular automata). (iii) We show that any translation-invariant quantum cellular automaton in $D$-dimensional lattice of volume $V$ can be implemented using only $O(V)$ local gates in a staircase fashion using invertible subalgebra pumping.
(i)我们指出,如果存在一个守恒量是局部算子的和,那么深度小于线性系统大小的每一个局部酉电路都很容易与全局Haar随机酉电路区分。对于连续的现场对称或局部能量守恒定律,情况总是如此。(ii)我们解释了浅幺正电路学习问题的一个简单算法,并将其与一个关于严格保域幺正(量子元胞自动机)的开放问题联系起来。(iii)我们证明了体积$V$的$D$维晶格中的任意平移不变量子元胞自动机可以仅使用$O(V)$局部门以可逆子代数泵浦的阶梯方式实现。
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引用次数: 0
LUCI in the Surface Code with Dropouts 带有Dropouts的表面代码中的LUCI
IF 6.4 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-11 DOI: 10.22331/q-2025-12-11-1936
Dripto M. Debroy, Matt McEwen, Craig Gidney, Noah Shutty, Adam Zalcman
Recently, usage of detecting regions facilitated the discovery of new circuits for fault-tolerantly implementing the surface code. Building on these ideas, we present LUCI, a framework for constructing fault-tolerant circuits flexible enough to construct aperiodic and anisotropic circuits, making it a clear step towards quantum error correction beyond static codes. We show that LUCI can be used to adapt surface code circuits to lattices with imperfect qubit and coupler yield, a key challenge for fault-tolerant quantum computers using solid-state architectures. These circuits preserve spacelike distance for isolated broken couplers or isolated broken measure qubits in exchange for halving timelike distance, substantially reducing the penalty for dropout compared to the state of the art and creating opportunities in device architecture design. For qubit and coupler dropout rates of 1% and a patch diameter of 15, LUCI achieves an average spacelike distance of 13.1, compared to 9.1 for the best method in the literature. For a SI1000(0.001) circuit noise model, this translates to a 36x improvement in median logical error rate per round, a factor which increases with device performance. At these dropout and error rates, LUCI requires roughly 25% fewer physical qubits to reach algorithmically relevant one-in-a-trillion logical codeblock error rates.
近年来,检测区域的使用促进了表面码容错实现新电路的发现。基于这些想法,我们提出了LUCI,一个构建容错电路的框架,足够灵活,可以构建非周期和各向异性电路,使其成为超越静态代码的量子纠错的明确步骤。我们证明LUCI可用于使表面代码电路适应具有不完美量子比特和耦合器良率的晶格,这是使用固态架构的容错量子计算机的关键挑战。这些电路为隔离的破断耦合器或隔离的破断量子位保留了类空间距离,以换取一半的类时间距离,与目前的技术水平相比,大大减少了对辍学的惩罚,并在器件架构设计中创造了机会。在量子位和耦合器丢包率为1%、贴片直径为15的情况下,LUCI的平均类空间距离为13.1,而文献中最佳方法的平均类空间距离为9.1。对于SI1000(0.001)电路噪声模型,这意味着每轮中位逻辑错误率提高了36倍,这个因素随着器件性能的提高而增加。在这样的失分率和错误率下,LUCI大约需要减少25%的物理量子比特,才能达到与算法相关的一万亿分之一的逻辑码块错误率。
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引用次数: 0
Proposal for a Bell Test with Entangled Atoms of Different Mass 不同质量纠缠原子的贝尔试验方案
IF 6.4 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-11 DOI: 10.22331/q-2025-12-11-1939
X. T. Yan, S. Kannan, Y. S. Athreya, A. G. Truscott, S. S. Hodgman
We propose a Bell test experiment using momentum-entangled atom pairs of different masses, specifically metastable helium isotopes ${}^{3}He^{*}$ and ${}^{4}He^{*}$, though the method extends to other atom species. Entanglement is generated via collisions, after which the quantum states are manipulated using two independent atom interferometers, enabling precise phase control over each species. Numerical simulations predict a significant violation of Bell's inequality under realistic conditions. This proposal opens a new paradigm to study the intersection of quantum mechanics and gravity.
我们提出了一个贝尔测试实验,使用不同质量的动量纠缠原子对,特别是亚稳氦同位素${}^{3}He^{*}$和${}^{4}He^{*}$,尽管该方法可以扩展到其他原子种类。纠缠是通过碰撞产生的,之后使用两个独立的原子干涉仪来操纵量子态,从而可以对每个物种进行精确的相位控制。数值模拟预测了现实条件下贝尔不等式的严重违反。这一建议为研究量子力学和引力的交叉开辟了一个新的范式。
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引用次数: 0
Multiple quantum exceptional, diabolical, and hybrid points in multimode bosonic systems: II. Nonconventional PT-symmetric dynamics and unidirectional coupling 多模玻色子系统中的多量子异常点、恶魔点和杂化点:II。非常规pt对称动力学与单向耦合
IF 6.4 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-12-10 DOI: 10.22331/q-2025-12-10-1933
Jan Perina Jr., Kishore Thapliyal, Grzegorz Chimczak, Anna Kowalewska-Kudlaszyk, Adam Miranowicz
We analyze the existence and degeneracies of quantum exceptional, diabolical, and hybrid points in simple bosonic systems – comprising up to six modes with damping and/or amplification – under two complementary scenarios to those described in arXiv:2405.01666: (i) nonconventional PT-symmetric dynamics confined to a subspace of the full Liouville space, and (ii) systems featuring unidirectional coupling. The system dynamics described by quadratic non-Hermitian Hamiltonians is governed by the Heisenberg-Langevin equations. Conditions for the observation of inherited quantum hybrid points with up to sixth-order exceptional and second-order diabolical degeneracies are revealed, though relevant only for short-time dynamics. This raises the question of whether higher-order inherited singularities exist in bosonic systems under general conditions. Nevertheless, for short times, unidirectional coupling of various types enables the concatenation of simple bosonic systems with second- and third-order exceptional degeneracies such that arbitrarily high exceptional degeneracies are reached. Methods for numerical identifying the quantum exceptional and hybrid points together with their degeneracies are addressed. Following arXiv:2405.01666 rich dynamics of second-order field-operator moments is analyzed from the point of view of the presence of exceptional and diabolical points and their degeneracies.
我们在arXiv:2405.01666中描述的两种互补情况下,分析了由多达六个具有阻尼和/或放大的模式组成的简单玻色子系统中量子异常点、妖精点和杂化点的存在性和简并性:(i)局限于全Liouville空间子空间的非常规pt对称动力学,以及(ii)具有单向耦合的系统。由二次非厄米哈密顿量描述的系统动力学由海森堡-朗格万方程控制。揭示了遗传量子杂化点具有六阶异常和二阶恶魔型简并的观测条件,尽管仅与短时动力学相关。这就提出了在一般条件下玻色子系统中是否存在高阶遗传奇点的问题。然而,在短时间内,各种类型的单向耦合使得具有二阶和三阶异常简并的简单玻色子系统的连接能够达到任意高的异常简并。讨论了量子异常点和混合点及其简并度的数值识别方法。根据arXiv:2405.01666,从异常点和恶魔点的存在及其简并性的角度分析了二阶场算子矩的丰富动力学。
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引用次数: 0
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