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Cyclic solid-state quantum battery: thermodynamic characterization and quantum hardware simulation 循环固态量子电池:热力学表征和量子硬件模拟
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-01-08 DOI: 10.1088/2058-9565/ad9ed4
Luca Razzoli, Giulia Gemme, Ilia Khomchenko, Maura Sassetti, Henni Ouerdane, Dario Ferraro and Giuliano Benenti
We introduce a cyclic quantum battery QB model, based on an interacting bipartite system, weakly coupled to a thermal bath. The working cycle of the battery consists of four strokes: system thermalization, disconnection of subsystems, ergotropy extraction, and reconnection. The thermal bath acts as a charger in the thermalization stroke, while ergotropy extraction is possible because the ensuing thermal state is no longer passive after the disconnection stroke. Focusing on the case of two interacting qubits, we show that phase coherence, in the presence of non-trivial correlations between the qubits, can be exploited to reach working regimes with efficiency higher than 50% while providing finite ergotropy. Our protocol is illustrated through a simple and feasible circuit model of a cyclic superconducting QB. Furthermore, we simulate the considered cycle on superconducting IBM quantum machines. The good agreement between the theoretical and simulated results strongly suggests that our scheme for cyclic QBs can be successfully realized in superconducting quantum hardware.
我们介绍了一个循环量子电池QB模型,该模型基于一个相互作用的二部系统,弱耦合于热浴。电池的工作循环包括四个冲程:系统热化、子系统断开、各向同性提取和重新连接。热浴在热化行程中充当充电器,而自向性提取是可能的,因为在断开行程后,随后的热状态不再是被动的。在两个相互作用的量子比特的情况下,我们表明,在量子比特之间存在非平凡相关性的情况下,相位相干性可以被利用来达到效率高于50%的工作状态,同时提供有限的自洽性。通过一个简单可行的循环超导QB电路模型说明了我们的协议。此外,我们在IBM超导量子机器上模拟了所考虑的周期。理论结果与模拟结果吻合良好,表明我们的循环量子阱方案可以在超导量子硬件中成功实现。
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引用次数: 0
Detecting unfaithful entanglement by multiple fidelities 通过多重保真度检测不忠实纠缠
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-01-07 DOI: 10.1088/2058-9565/ada2b7
Ruiqi Zhang and Zhaohui Wei
Certifying entanglement for unknown quantum states experimentally is a fundamental problem in quantum computing and quantum physics. Because of being easy to implement, a most popular approach for this problem in modern quantum experiments is detecting target quantum states with fidelity-based entanglement witnesses. Specifically, if the fidelity between a target state and an entangled pure state exceeds a certain value, the target state can be guaranteed to be entangled. Recently, however, it has been realized that there exist so-called unfaithful quantum states, which can be entangled, but their entanglement cannot be certified by any fidelity-based entanglement witnesses. In this paper, by specific examples, we show that if one makes a slight modification to fidelity-based entanglement witnesses by combining multiple fidelities together, it is still possible to certify entanglement for unfaithful quantum states with this popular technique. Particularly, we will analyze the mathematical structure of the modified entanglement witnesses, and propose an algorithm that can search for the optimal designs for them.
实验证明未知量子态的纠缠是量子计算和量子物理中的一个基本问题。由于易于实现,现代量子实验中最流行的方法是利用基于保真度的纠缠见证检测目标量子态。具体来说,如果目标状态与纠缠纯态之间的保真度超过一定值,则可以保证目标状态处于纠缠状态。然而,最近人们意识到存在所谓的不忠实量子态,它们可以被纠缠,但它们的纠缠不能被任何基于保真度的纠缠证人证明。在本文中,我们通过具体的例子表明,如果通过将多个保真度组合在一起对基于保真度的纠缠证人进行轻微修改,仍然可以使用这种流行的技术来证明不忠实量子态的纠缠。特别地,我们将分析改进的纠缠见证的数学结构,并提出一种算法来搜索它们的最优设计。
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引用次数: 0
Time-reversed biphoton source of the double-Λ spontaneous four-wave mixing process 双时间反转双光子源-Λ自发四波混频过程
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-01-07 DOI: 10.1088/2058-9565/ada08f
Wei-Kai Huang, Bongjune Kim, Teng-Jen Shih, Chia-Yu Hsu, Pei-Yu Tu, Tse-Yu Lin, Yong-Fan Chen, Chih-Sung Chuu and Ite A Yu
Utilizing the double-Λ spontaneous four-wave mixing (SFWM) process, the biphoton source generates narrow-linewidth pairs of signal and probe photons. In a medium, the signal photon propagates at nearly the speed of light in a vacuum, while the probe photon propagates as slow light. Typically, signal photons arrive at the detector first and are used as the heralding photons in conventional biphoton sources. In this work, we propose using probe photons as the heralding photons to enhance the heralding probability, an approach that has been overlooked previously. We also investigate a time-reversed double-Λ SFWM biphoton source using heated atomic vapor. Compared with the conventional biphoton source under the same experimental conditions, the time-reversed one exhibits a time-reversed temporal profile with a similar full-width-at-half-maximum linewidth of 3.4 MHz, increased the heralding efficiency by a factor of 5.3, and enhanced the detection rate by 1.3 times. With the time-reversed source, we achieved a heralding probability of 82±6% and a generation rate of (1.8 ± 0.2)× 106 pairs/s, referring to biphotons collected within polarization-maintained single-mode optical fibers. Furthermore, the time-reversed temporal profile is more suitable for quantum memory. Simulation results show that, at an optical depth of 150 (or 50), the storage efficiency of a quantum memory using the time-reversed source can reach 91% (or 81%), compared with 81% (or 67%) using the conventional source. This study demonstrates the significance of using the slow-light photon in biphoton pairs as the heralding photon for quantum operations. We have achieved a biphoton source with high heralding probability, high generation rate, and narrow linewidth in a room-temperature or hot medium.
利用双-Λ自发四波混合(SFWM)过程,双光子源产生窄线宽的信号光子对和探测光子对。在介质中,信号光子在真空中以接近光速的速度传播,而探测光子以慢光的速度传播。通常情况下,信号光子首先到达探测器,并在传统双光子源中用作预示光子。在这项工作中,我们提出使用探测光子作为预警光子来提高预警概率,这是一种以前被忽视的方法。我们还研究了一个时间反转的双-Λ SFWM双光子源,使用加热原子蒸汽。与传统双光子源相比,在相同的实验条件下,时间反转的双光子源显示出时间反转的时间轮廓,半最大线宽为3.4 MHz,预示效率提高了5.3倍,检测率提高了1.3倍。使用时间反转光源,我们获得了82±6%的预警概率和(1.8±0.2)× 106对/秒的生成率,这是指在维持偏振的单模光纤中收集的双光子。此外,时间反转的时间剖面更适合于量子存储。仿真结果表明,在光深度为150(或50)时,使用时间反转源的量子存储器的存储效率可以达到91%(或81%),而使用传统源的存储效率为81%(或67%)。本研究证明了在双光子对中使用慢光光子作为量子操作的预示光子的意义。我们已经在室温或热介质中实现了高预示概率、高产生率和窄线宽的双光子源。
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引用次数: 0
Profiling quantum circuits for their efficient execution on single- and multi-core architectures 分析量子电路在单核和多核架构上的高效执行
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2025-01-06 DOI: 10.1088/2058-9565/ada180
Medina Bandic, Pablo le Henaff, Anabel Ovide, Pau Escofet, Sahar Ben Rached, Santiago Rodrigo, Hans van Someren, Sergi Abadal, Eduard Alarcón, Carmen G Almudever and Sebastian Feld
Application-specific quantum computers offer the most efficient means to tackle problems intractable by classical computers. Realizing these architectures necessitates a deep understanding of quantum circuit properties and their relationship to execution outcomes on quantum devices. Our study aims to perform for the first time a rigorous examination of quantum circuits by introducing graph theory-based metrics extracted from their qubit interaction graph and gate dependency graph (GDG) alongside conventional parameters describing the circuit itself. This methodology facilitates a comprehensive analysis and clustering of quantum circuits. Furthermore, it uncovers a connection between parameters rooted in both qubit interaction and GDGs, and the performance metrics for quantum circuit mapping, across a range of established quantum device and mapping configurations. Among the various device configurations, we particularly emphasize modular (i.e. multi-core) quantum computing architectures due to their high potential as a viable solution for quantum device scalability. This thorough analysis will help us to: i) identify key attributes of quantum circuits that affect the quantum circuit mapping performance metrics; ii) predict the performance on a specific chip for similar circuit structures; iii) determine preferable combinations of mapping techniques and hardware setups for specific circuits; and iv) define representative benchmark sets by clustering similarly structured circuits.
特定应用的量子计算机为解决经典计算机难以解决的问题提供了最有效的手段。实现这些架构需要深入了解量子电路的特性及其与量子器件上执行结果的关系。我们的研究旨在通过引入从量子比特相互作用图和门依赖图(GDG)中提取的基于图论的指标以及描述电路本身的常规参数,首次对量子电路进行严格的检查。这种方法有利于量子电路的全面分析和聚类。此外,它揭示了植根于量子比特相互作用和gdg的参数之间的联系,以及量子电路映射的性能指标,跨越一系列已建立的量子器件和映射配置。在各种设备配置中,我们特别强调模块化(即多核)量子计算架构,因为它们作为量子设备可扩展性的可行解决方案具有很高的潜力。这种深入的分析将帮助我们:i)确定影响量子电路映射性能指标的量子电路的关键属性;Ii)预测类似电路结构在特定芯片上的性能;Iii)为特定电路确定优选的映射技术和硬件设置组合;iv)通过聚类类似结构的电路来定义具有代表性的基准集。
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引用次数: 0
Coherent and non-unitary errors in ZZ-generated gates zz生成门的相干和非酉误差
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-12-30 DOI: 10.1088/2058-9565/ad9be2
Thorge Müller, Tobias Stollenwerk, David Headley, Michael Epping and Frank K Wilhelm
Variational algorithms such as the quantum approximate optimization algorithm have attracted attention due to their potential for solving problems using near-term quantum computers. The ZZ interaction typically generates the primitive two-qubit gate in such algorithms applied for a time, typically a variational parameter, γ. Different compilation techniques exist with respect to the implementation of two-qubit gates. Due to the importance of the ZZ-gate, we present an error analysis comparing the continuous-angle controlled phase gate (CP) against the fixed angle controlled Z-gate (CZ). We analyze both techniques under the influence of coherent over-rotation and depolarizing noise. We show that CP and CZ compilation techniques achieve comparable ZZ-gate fidelities if the incoherent error is below 0.03% and the coherent error is below 0.8%. Thus, we argue that for small coherent and incoherent error a non-parameterized two-qubit gate such as CZ in combination with virtual Z decomposition for single-qubit gates could lead to a significant reduction in the calibration required and, therefore, a less error-prone quantum device. We show that above a coherent error of 0.04π (2%), the CZ gate fidelity depends significantly on γ.
变分算法(如量子近似优化算法)因其在近期使用量子计算机解决问题的潜力而受到关注。在这种算法中,ZZ相互作用通常会产生原始的双量子位门,应用一段时间,通常是一个变分参数γ。对于双量子位门的实现存在不同的编译技术。由于z门的重要性,我们对连续角控制相门(CP)和固定角控制z门(CZ)进行了误差分析。我们在相干过旋转和去极化噪声的影响下分析了这两种技术。我们表明,如果非相干误差低于0.03%,相干误差低于0.8%,CP和CZ编译技术可以获得相当的zz门保真度。因此,我们认为,对于小的相干和非相干误差,非参数化的双量子比特门(如CZ)与单量子比特门的虚拟Z分解相结合,可能会导致所需校准的显着减少,因此,更不容易出错的量子器件。我们表明,在相干误差为0.04π(2%)以上,CZ栅极保真度显著依赖于γ。
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引用次数: 0
Quantum optics with giant atoms in a structured photonic bath 结构光子浴中巨原子的量子光学
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-12-30 DOI: 10.1088/2058-9565/ada08d
Luca Leonforte, Xuejian Sun, Davide Valenti, Bernardo Spagnolo, Fabrizio Illuminati, Angelo Carollo and Francesco Ciccarello
We present a general framework to tackle quantum optics problems with giant atoms, i.e. quantum emitters each coupled non-locally to a structured photonic bath (typically a lattice) of any dimension. The theory encompasses the calculation and general properties of Green’s functions, atom-photon bound states, collective master equations and decoherence-free Hamiltonians (DFHs), and is underpinned by a formalism where a giant atom is formally viewed as a normal atom lying at a fictitious location. As a major application, we provide for the first time a general criterion to predict/engineer DFHs of giant atoms, which can be applied both in and out of the photonic continuum and regardless of the structure or dimensionality of the photonic bath. This is used to show novel DFHs in 2D baths such as a square lattice, photonic graphene and an extended photonic Lieb lattice.
我们提出了一个通用框架来解决巨大原子的量子光学问题,即每个量子发射器非局部耦合到任何维度的结构化光子浴(通常是晶格)。该理论包含了格林函数、原子-光子束缚态、集体主方程和无退相干哈密顿量(DFHs)的计算和一般性质,并以一种形式主义为基础,在这种形式主义中,一个巨大的原子被正式视为位于虚拟位置的正常原子。作为一个主要应用,我们首次提供了一个预测/设计巨原子DFHs的通用标准,该标准可以在光子连续区内和区外应用,而不考虑光子槽的结构或维度。这用于展示二维槽中的新型DFHs,如方形晶格、光子石墨烯和扩展光子Lieb晶格。
{"title":"Quantum optics with giant atoms in a structured photonic bath","authors":"Luca Leonforte, Xuejian Sun, Davide Valenti, Bernardo Spagnolo, Fabrizio Illuminati, Angelo Carollo and Francesco Ciccarello","doi":"10.1088/2058-9565/ada08d","DOIUrl":"https://doi.org/10.1088/2058-9565/ada08d","url":null,"abstract":"We present a general framework to tackle quantum optics problems with giant atoms, i.e. quantum emitters each coupled non-locally to a structured photonic bath (typically a lattice) of any dimension. The theory encompasses the calculation and general properties of Green’s functions, atom-photon bound states, collective master equations and decoherence-free Hamiltonians (DFHs), and is underpinned by a formalism where a giant atom is formally viewed as a normal atom lying at a fictitious location. As a major application, we provide for the first time a general criterion to predict/engineer DFHs of giant atoms, which can be applied both in and out of the photonic continuum and regardless of the structure or dimensionality of the photonic bath. This is used to show novel DFHs in 2D baths such as a square lattice, photonic graphene and an extended photonic Lieb lattice.","PeriodicalId":20821,"journal":{"name":"Quantum Science and Technology","volume":"33 1","pages":""},"PeriodicalIF":6.7,"publicationDate":"2024-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142902026","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Distributed quantum machine learning via classical communication 基于经典通信的分布式量子机器学习
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-12-30 DOI: 10.1088/2058-9565/ad9cb9
Kiwmann Hwang, Hyang-Tag Lim, Yong-Su Kim, Daniel K Park and Yosep Kim
Quantum machine learning is emerging as a promising application of quantum computing due to its distinct way of encoding and processing data. It is believed that large-scale quantum machine learning demonstrates substantial advantages over classical counterparts, but a reliable scale-up is hindered by the fragile nature of quantum systems. Here we present an experimentally accessible distributed quantum machine learning scheme that integrates quantum processor units via classical communication. As a demonstration, we perform data classification tasks on eight-dimensional synthetic datasets by emulating two four-qubit processors and employing quantum convolutional neural networks. Our results indicate that incorporating classical communication notably improves classification accuracy compared to schemes without communication. Furthermore, at the tested circuit depths, we observe that the accuracy with classical communication is no less than that achieved with quantum communication. Our work provides a practical path to demonstrating large-scale quantum machine learning on intermediate-scale quantum processors by leveraging classical communication that can be implemented through currently available mid-circuit measurements.
量子机器学习由于其独特的编码和处理数据的方式而成为量子计算的一个有前途的应用。据信,大规模量子机器学习比经典机器学习具有实质性的优势,但量子系统的脆弱性阻碍了可靠的扩展。在这里,我们提出了一个实验上可访问的分布式量子机器学习方案,该方案通过经典通信集成量子处理器单元。作为演示,我们通过模拟两个四量子比特处理器和使用量子卷积神经网络在八维合成数据集上执行数据分类任务。我们的研究结果表明,与没有通信的方案相比,结合经典通信的方案显著提高了分类精度。此外,在测试电路深度下,我们观察到经典通信的精度不低于量子通信的精度。我们的工作为在中等规模的量子处理器上展示大规模量子机器学习提供了一条实用的途径,它利用了可以通过当前可用的中路测量实现的经典通信。
{"title":"Distributed quantum machine learning via classical communication","authors":"Kiwmann Hwang, Hyang-Tag Lim, Yong-Su Kim, Daniel K Park and Yosep Kim","doi":"10.1088/2058-9565/ad9cb9","DOIUrl":"https://doi.org/10.1088/2058-9565/ad9cb9","url":null,"abstract":"Quantum machine learning is emerging as a promising application of quantum computing due to its distinct way of encoding and processing data. It is believed that large-scale quantum machine learning demonstrates substantial advantages over classical counterparts, but a reliable scale-up is hindered by the fragile nature of quantum systems. Here we present an experimentally accessible distributed quantum machine learning scheme that integrates quantum processor units via classical communication. As a demonstration, we perform data classification tasks on eight-dimensional synthetic datasets by emulating two four-qubit processors and employing quantum convolutional neural networks. Our results indicate that incorporating classical communication notably improves classification accuracy compared to schemes without communication. Furthermore, at the tested circuit depths, we observe that the accuracy with classical communication is no less than that achieved with quantum communication. Our work provides a practical path to demonstrating large-scale quantum machine learning on intermediate-scale quantum processors by leveraging classical communication that can be implemented through currently available mid-circuit measurements.","PeriodicalId":20821,"journal":{"name":"Quantum Science and Technology","volume":"28 1","pages":""},"PeriodicalIF":6.7,"publicationDate":"2024-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142902096","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
GALIC: hybrid multi-qubitwise pauli grouping for quantum computing measurement GALIC:用于量子计算测量的混合多量子位泡利分组
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-12-30 DOI: 10.1088/2058-9565/ad9d74
Matthew X Burns, Chenxu Liu, Samuel Stein, Bo Peng, Karol Kowalski and Ang Li
Observable estimation is a core primitive in NISQ-era algorithms targeting quantum chemistry applications. To reduce the state preparation overhead required for accurate estimation, recent works have proposed various simultaneous measurement schemes to lower estimator variance. Two primary grouping schemes have been proposed: full commutativity (FC) and qubit-wise commutativity (QWC), with no compelling means of interpolation. In this work we propose a generalized framework for designing and analyzing context-aware hybrid FC/QWC commutativity relations. We use our framework to propose a noise-and-connectivity aware grouping strategy: Generalized backend-Aware pauLI Commutation (GALIC). We demonstrate how GALIC interpolates between FC and QWC, maintaining estimator accuracy in Hamiltonian estimation while lowering variance by an average of 20% compared to QWC. We also explore the design space of near-term quantum devices using the GALIC framework, specifically comparing device noise levels and connectivity. We find that error suppression has a more than 10 × larger impact on device-aware estimator variance than qubit connectivity with even larger correlation differences in estimator biases.
可观测估计是针对量子化学应用的nisq时代算法的核心原语。为了减少精确估计所需的状态准备开销,最近的工作提出了各种同时测量方案来降低估计器方差。提出了两种主要的分组方案:完全交换性(FC)和量子比特交换性(QWC),没有强制的插值方法。在这项工作中,我们提出了一个通用的框架来设计和分析上下文感知的混合FC/QWC交换关系。我们使用我们的框架提出了一种噪声和连通性感知的分组策略:广义后端感知pauLI交换(GALIC)。我们演示了GALIC如何在FC和QWC之间进行插值,在hamilton估计中保持估计器的准确性,同时与QWC相比平均降低了20%的方差。我们还探索了使用GALIC框架的近期量子器件的设计空间,特别是比较了器件的噪声水平和连接性。我们发现,误差抑制对设备感知估计器方差的影响比量子比特连通性大10倍以上,估计器偏差的相关差异甚至更大。
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引用次数: 0
Efficient quantum algorithm for lattice protein folding 晶格蛋白折叠的高效量子算法
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-12-27 DOI: 10.1088/2058-9565/ada08e
Youle Wang and Xiangzhen Zhou
Predicting a protein’s three-dimensional structure from its primary amino acid sequence constitutes the protein folding problem, a pivotal challenge within computational biology. This task has been identified as a fitting domain for applying quantum annealing, an algorithmic technique posited to be faster than its classical counterparts. Nevertheless, the utility of quantum annealing is intrinsically contingent upon the spectral gap associated with the Hamiltonian of lattice proteins. This critical dependence introduces a limitation to the efficacy of these techniques, particularly in the context of simulating the intricate folding processes of proteins. In this paper, we address lattice protein folding as a polynomial unconstrained binary optimization problem, devising a hybrid quantum–classical algorithm to determine the minimum energy conformation effectively. Our method is distinguished by its logarithmic scaling with the spectral gap, conferring a significant edge over the conventional quantum annealing algorithms. The present findings indicate that the folding of lattice proteins can be achieved with a resource consumption that is polynomial in the lattice protein length, provided an ansatz state that encodes the target conformation is utilized. We also provide a simple and scalable method for preparing such states and further explore the adaptation of our method for extension to off-lattice protein models. This work paves a new avenue for surmounting complex computational biology problems via the utilization of quantum computers.
从蛋白质的初级氨基酸序列预测蛋白质的三维结构构成了蛋白质折叠问题,这是计算生物学中的一个关键挑战。这项任务已被确定为应用量子退火的拟合领域,量子退火是一种被认为比经典同行更快的算法技术。然而,量子退火的效用本质上取决于与晶格蛋白的哈密顿量相关的光谱间隙。这种关键的依赖性限制了这些技术的有效性,特别是在模拟蛋白质复杂折叠过程的背景下。本文将晶格蛋白折叠作为一个多项式无约束二元优化问题,设计了一种量子-经典混合算法来有效地确定最小能量构象。我们的方法的特点是它的对数尺度与谱间隙,赋予一个显著的优势优于传统的量子退火算法。目前的研究结果表明,如果利用编码目标构象的ansatz状态,晶格蛋白的折叠可以通过晶格蛋白长度的多项式资源消耗来实现。我们还提供了一种简单且可扩展的方法来制备这种状态,并进一步探索了我们的方法对扩展到离晶格蛋白质模型的适应性。这项工作为利用量子计算机解决复杂的计算生物学问题开辟了新的途径。
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引用次数: 0
An operational definition of quantum information scrambling 量子信息置乱的操作定义
IF 6.7 2区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-12-27 DOI: 10.1088/2058-9565/ad9ed2
Gabriele Lo Monaco, Luca Innocenti, Dario Cilluffo, Diana A Chisholm, Salvatore Lorenzo and G Massimo Palma
Quantum information scrambling (QIS) is a characteristic feature of several quantum systems, ranging from black holes to quantum communication networks. While accurately quantifying QIS is crucial to understanding many such phenomena, common approaches based on the tripartite information have limitations due to the accessibility issues of quantum mutual information, and do not always properly take into consideration the dependence on the encoding input basis. To address these issues, we propose a novel and computationally efficient QIS quantifier, based on a formulation of QIS in terms of quantum state discrimination. We show that the optimal guessing probability, which reflects the degree of QIS induced by an isometric quantum evolution, is directly connected to the accessible min-information, a generalized channel capacity based on conditional min-entropy, which can be cast as a convex program and thus computed efficiently. By applying our proposal to a range of examples with increasing complexity, we illustrate its ability to capture the multifaceted nature of QIS in all its intricacy.
量子信息置乱(QIS)是一些量子系统的特征,从黑洞到量子通信网络。虽然准确量化QIS对于理解许多此类现象至关重要,但由于量子互信息的可及性问题,基于三方信息的常见方法存在局限性,并且并不总是适当地考虑对编码输入基的依赖性。为了解决这些问题,我们提出了一种新的计算效率高的QIS量词,基于量子态判别的QIS公式。我们证明了反映等距量子演化引起的QIS程度的最优猜测概率与可访问的最小信息直接相关,这是一种基于条件最小熵的广义信道容量,可以将其转换为凸程序,从而有效地计算。通过将我们的建议应用于一系列日益复杂的例子,我们说明了它能够捕捉到QIS的复杂性的多面性。
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引用次数: 0
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Quantum Science and Technology
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