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Anomalous Long-Ranged Influence of an Inclusion in Momentum-Conserving Active Fluids 动量守恒型活性流体中夹杂物的异常远距离影响
IF 12.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-11-06 DOI: 10.1103/physrevx.14.041034
Thibaut Arnoulx de Pirey, Yariv Kafri, Sriram Ramaswamy
We show that an inclusion placed inside a dilute Stokesian suspension of microswimmers induces power-law number-density modulations and flows. These take a different form depending on whether the inclusion is held fixed by an external force—for example, an optical tweezer—or if it is free. When the inclusion is held in place, the far-field fluid flow is a Stokeslet, while the microswimmer density decays as <mjx-container ctxtmenu_counter="31" ctxtmenu_oldtabindex="1" jax="CHTML" overflow="linebreak" role="tree" sre-explorer- style="font-size: 100.7%;" tabindex="0"><mjx-math data-semantic-children="0,7" data-semantic-content="1" data-semantic- data-semantic-owns="0 1 7" data-semantic-role="division" data-semantic-speech="1 divided by r Superscript 2 plus epsilon" data-semantic-structure="(8 0 1 (7 2 (6 3 4 5)))" data-semantic-type="infixop"><mjx-mn data-semantic-annotation="clearspeak:simple" data-semantic-font="normal" data-semantic- data-semantic-parent="8" data-semantic-role="integer" data-semantic-type="number"><mjx-c>1</mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator="infixop,/" data-semantic-parent="8" data-semantic-role="division" data-semantic-type="operator"><mjx-c>/</mjx-c></mjx-mo><mjx-msup data-semantic-children="2,6" data-semantic- data-semantic-owns="2 6" data-semantic-parent="8" data-semantic-role="latinletter" data-semantic-type="superscript"><mjx-mi data-semantic-annotation="clearspeak:simple" data-semantic-font="italic" data-semantic- data-semantic-parent="7" data-semantic-role="latinletter" data-semantic-type="identifier"><mjx-c>𝑟</mjx-c></mjx-mi><mjx-script style="vertical-align: 0.363em;"><mjx-mrow data-semantic-children="3,5" data-semantic-content="4" data-semantic- data-semantic-owns="3 4 5" data-semantic-parent="7" data-semantic-role="addition" data-semantic-type="infixop" size="s"><mjx-mn data-semantic-annotation="clearspeak:simple" data-semantic-font="normal" data-semantic- data-semantic-parent="6" data-semantic-role="integer" data-semantic-type="number"><mjx-c>2</mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator="infixop,+" data-semantic-parent="6" data-semantic-role="addition" data-semantic-type="operator"><mjx-c>+</mjx-c></mjx-mo><mjx-mi data-semantic-annotation="clearspeak:simple" data-semantic-font="italic" data-semantic- data-semantic-parent="6" data-semantic-role="greekletter" data-semantic-type="identifier"><mjx-c>𝜀</mjx-c></mjx-mi></mjx-mrow></mjx-script></mjx-msup></mjx-math></mjx-container>, with <mjx-container ctxtmenu_counter="32" ctxtmenu_oldtabindex="1" jax="CHTML" overflow="linebreak" role="tree" sre-explorer- style="font-size: 100.7%;" tabindex="0"><mjx-math data-semantic-structure="0"><mjx-mi data-semantic-annotation="clearspeak:simple" data-semantic-font="italic" data-semantic- data-semantic-role="latinletter" data-semantic-speech="r" data-semantic-type="identifier"><mjx-c>𝑟</mjx-c></mjx-mi></mjx-math></mjx-container> the distance from the inclusion and <mjx-container ctxtmenu
我们的研究表明,放置在微游子的稀释斯托克斯悬浮液中的包裹体会诱发幂律数密度调制和流动。根据包体是否被外力固定--例如光学镊子--或是否自由,它们的形式有所不同。当包涵体被固定时,远场流体流为斯托克斯小波,而微观密度的衰减为 1/𝑟2+𝜀,其中𝑟为与包涵体的距离,𝜀为异常指数,它取决于包涵体的对称性,并作为表征对流效应和扩散效应相对振幅的无量纲数的函数连续变化。与角度有关的非简单形式取决于相同的无量纲数。当包含体自由移动时,远场流体流是一个应力子,微泳密度以 1/𝑟2 的形式衰减,并具有简单的角度依赖性。这些长程调制介导了夹杂物之间的长程相互作用,我们对其进行了表征。
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引用次数: 0
Optical Time-Domain Quantum State Tomography on a Subcycle Scale 亚周期尺度的光学时域量子态层析成像技术
IF 12.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-11-05 DOI: 10.1103/physrevx.14.041032
Emanuel Hubenschmid, Thiago L. M. Guedes, Guido Burkard
Following recent progress in the experimental application of electro-optic sampling to the detection of the quantum fluctuations of the electromagnetic-field ground state and ultrabroadband squeezed states on a subcycle scale, we propose an approach to elevate broadband electro-optic sampling from a spectroscopic method to a full quantum tomography scheme, able to reconstruct a free-space quantum state directly in the time domain. By combining two recently developed methods to theoretically describe quantum electro-optic sampling, we analytically relate the photon-count probability distribution of the electro-optic signal to a transformed phase-space quasiprobability distribution of the sampled quantum state as a function of the time delay between the sampled midinfrared pulsed state and an ultrabroadband near-infrared probe pulse. We catalog and analyze sources of noise and show that in quantum electro-optic sampling with an ultrabroadband probe pulse one can expect to observe thermalization due to entanglement breaking. Mitigation of the thermalization noise enables a tomographic reconstruction of broadband quantum states while granting access to its dynamics on a subcycle scale.
继最近将电光采样应用于探测电磁场基态和超宽带挤压态在亚周期尺度上的量子波动的实验取得进展之后,我们提出了一种方法,将宽带电光采样从光谱学方法提升为完整的量子层析成像方案,能够直接在时域中重建自由空间量子态。通过结合最近开发的两种理论描述量子电光采样的方法,我们分析了电光信号的光子计数概率分布与采样量子态的转换相空间准概率分布之间的关系,它是采样中红外脉冲态与超宽带近红外探测脉冲之间时间延迟的函数。我们对噪声源进行了编目和分析,结果表明,在使用超宽带探测脉冲进行量子电光采样时,有望观察到由于纠缠断裂而产生的热化现象。减弱热化噪声可以对宽带量子态进行层析重建,同时获得其亚周期尺度的动态。
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引用次数: 0
CFT𝐷fromTQFT𝐷+1via Holographic Tensor Network, and Precision Discretization ofCFT2 通过全息张量网络的 CFT𝐷fromTQFT𝐷+1 和 CFT 的精确离散化2
IF 12.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-11-05 DOI: 10.1103/physrevx.14.041033
Lin Chen, Kaixin Ji, Haochen Zhang, Ce Shen, Ruoshui Wang, Xiangdong Zeng, Ling-Yan Hung
We show that the path integral of conformal field theories in <mjx-container ctxtmenu_counter="143" ctxtmenu_oldtabindex="1" jax="CHTML" overflow="linebreak" role="tree" sre-explorer- style="font-size: 100.7%;" tabindex="0"><mjx-math data-semantic-structure="0"><mjx-mi data-semantic-annotation="clearspeak:simple" data-semantic-font="italic" data-semantic- data-semantic-role="latinletter" data-semantic-speech="upper D" data-semantic-type="identifier"><mjx-c>𝐷</mjx-c></mjx-mi></mjx-math></mjx-container> dimensions (<mjx-container ctxtmenu_counter="144" ctxtmenu_oldtabindex="1" jax="CHTML" overflow="linebreak" role="tree" sre-explorer- style="font-size: 100.7%;" tabindex="0"><mjx-math data-semantic-structure="(2 0 1)"><mjx-msub data-semantic-children="0,1" data-semantic- data-semantic-owns="0 1" data-semantic-role="unknown" data-semantic-speech="upper C upper F upper T Subscript upper D" data-semantic-type="subscript"><mjx-mi data-semantic-font="normal" data-semantic- data-semantic-parent="2" data-semantic-role="unknown" data-semantic-type="identifier"><mjx-c noic="true" style="padding-top: 0.669em;">C</mjx-c><mjx-c noic="true" style="padding-top: 0.669em;">F</mjx-c><mjx-c style="padding-top: 0.669em;">T</mjx-c></mjx-mi><mjx-script style="vertical-align: -0.15em;"><mjx-mi data-semantic-annotation="clearspeak:simple" data-semantic-font="italic" data-semantic- data-semantic-parent="2" data-semantic-role="latinletter" data-semantic-type="identifier" size="s"><mjx-c>𝐷</mjx-c></mjx-mi></mjx-script></mjx-msub></mjx-math></mjx-container>) can be constructed by solving for eigenstates of a renormalization group (RG) operator following from the Turaev-Viro formulation of a topological field theory (topological quantum field theory) (TQFT) in <mjx-container ctxtmenu_counter="145" ctxtmenu_oldtabindex="1" jax="CHTML" overflow="linebreak" role="tree" sre-explorer- style="font-size: 100.7%;" tabindex="0"><mjx-math breakable="true" data-semantic-children="0,2" data-semantic-content="1" data-semantic- data-semantic-owns="0 1 2" data-semantic-role="addition" data-semantic-speech="upper D plus 1" data-semantic-structure="(3 0 1 2)" data-semantic-type="infixop"><mjx-mi data-semantic-annotation="clearspeak:simple" data-semantic-font="italic" data-semantic- data-semantic-parent="3" data-semantic-role="latinletter" data-semantic-type="identifier"><mjx-c>𝐷</mjx-c></mjx-mi><mjx-break size="3"></mjx-break><mjx-mo data-semantic- data-semantic-operator="infixop,+" data-semantic-parent="3" data-semantic-role="addition" data-semantic-type="operator"><mjx-c>+</mjx-c></mjx-mo><mjx-mn data-semantic-annotation="clearspeak:simple" data-semantic-font="normal" data-semantic- data-semantic-parent="3" data-semantic-role="integer" data-semantic-type="number" space="3"><mjx-c>1</mjx-c></mjx-mn></mjx-math></mjx-container> dimensions (<mjx-container ctxtmenu_counter="146" ctxtmenu_oldtabindex="1" jax="CHTML" overflow="linebreak" role="tree" sre-explorer- style="font-size: 100.7%;" tabin
我们证明,在𝐷维(CFT𝐷)上的共形场理论的路径积分可以通过求解重正化群(RG)算子的特征状态来构建,而重正化群算子的特征状态则来自于在𝐷+1维(TQFT𝐷+1)上的拓扑场理论(拓扑量子场论)的图拉耶夫-维罗(Turaev-Viro)表述,明确地实现了对称理论和TQFT之间的全息三明治关系。一般来说,与对称 TQFT𝐷 相对应的精确特征状态来自 TQFT𝐷+1 中的弗罗贝尼斯代数。对于 𝐷=2,我们构建的特征状态能精确地产生二维有理 CFT 路径积分,这奇妙地将连续场论路径积分与图拉夫-维罗状态和联系在一起。我们还设计并说明了𝐷=2, 3 的数值方法,以寻找作为对称 TQFT𝐷 之间相变点的 CFT𝐷。最后,由于RG算子实际上是一个精确的解析全息张量网络,我们计算了 "体界 "相关因子,并将它们与𝐷=2时的AdS/CFT字典进行了比较。令人欣慰的是,鉴于我们的精确度,它们在数值上是兼容的,尽管还需要进一步的工作来探索与 AdS/CFT 对应关系的精确联系。
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引用次数: 0
Modular Quantum Processor with an All-to-All Reconfigurable Router 带有全对全可重构路由器的模块化量子处理器
IF 12.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-11-04 DOI: 10.1103/physrevx.14.041030
Xuntao Wu, Haoxiong Yan, Gustav Andersson, Alexander Anferov, Ming-Han Chou, Christopher R. Conner, Joel Grebel, Yash J. Joshi, Shiheng Li, Jacob M. Miller, Rhys G. Povey, Hong Qiao, Andrew N. Cleland
Superconducting qubits provide a promising approach to large-scale fault-tolerant quantum computing. However, qubit connectivity on a planar surface is typically restricted to only a few neighboring qubits. Achieving longer-range and more flexible connectivity, which is particularly appealing in light of recent developments in error-correcting codes, however, usually involves complex multilayer packaging and external cabling, which is resource intensive and can impose fidelity limitations. Here, we propose and realize a high-speed on-chip quantum processor that supports reconfigurable all-to-all coupling with a large on-off ratio. We implement the design in a four-node quantum processor, built with a modular design comprising a wiring substrate coupled to two separate qubit-bearing substrates, each including two single-qubit nodes. We use this device to demonstrate reconfigurable controlled-<mjx-container ctxtmenu_counter="131" ctxtmenu_oldtabindex="1" jax="CHTML" overflow="linebreak" role="tree" sre-explorer- style="font-size: 100.7%;" tabindex="0"><mjx-math data-semantic-structure="0"><mjx-mi data-semantic-annotation="clearspeak:simple" data-semantic-font="italic" data-semantic- data-semantic-role="latinletter" data-semantic-speech="upper Z" data-semantic-type="identifier"><mjx-c>𝑍</mjx-c></mjx-mi></mjx-math></mjx-container> gates across all qubit pairs, with a benchmarked average fidelity of <mjx-container ctxtmenu_counter="132" ctxtmenu_oldtabindex="1" jax="CHTML" overflow="linebreak" role="tree" sre-explorer- style="font-size: 100.7%;" tabindex="0"><mjx-math data-semantic-children="0,1,5,4" data-semantic-content="1,4" data-semantic- data-semantic-owns="0 1 5 4" data-semantic-role="sequence" data-semantic-speech="96.00 percent sign plus or minus 0.08 percent sign" data-semantic-structure="(6 0 1 (5 2 3) 4)" data-semantic-type="punctuated"><mjx-mn data-semantic-annotation="clearspeak:simple" data-semantic-font="normal" data-semantic- data-semantic-parent="6" data-semantic-role="float" data-semantic-type="number"><mjx-c noic="true" style="padding-top: 0.646em;">9</mjx-c><mjx-c noic="true" style="padding-top: 0.646em;">6</mjx-c><mjx-c noic="true" style="padding-top: 0.646em;">.</mjx-c><mjx-c noic="true" style="padding-top: 0.646em;">0</mjx-c><mjx-c style="padding-top: 0.646em;">0</mjx-c></mjx-mn><mjx-mo data-semantic- data-semantic-operator="punctuated" data-semantic-parent="6" data-semantic-role="unknown" data-semantic-type="punctuation"><mjx-c>%</mjx-c></mjx-mo><mjx-mrow data-semantic-added="true" data-semantic-children="3" data-semantic-content="2" data-semantic- data-semantic-owns="2 3" data-semantic-parent="6" data-semantic-role="addition" data-semantic-type="prefixop" space="3"><mjx-mo data-semantic- data-semantic-operator="prefixop,±" data-semantic-parent="5" data-semantic-role="addition" data-semantic-type="operator"><mjx-c>±</mjx-c></mjx-mo><mjx-mn data-semantic-annotation="clearspeak:simple" data-semantic-font="normal" data-semantic-
超导量子比特为大规模容错量子计算提供了一种前景广阔的方法。然而,平面上的量子比特连接通常仅限于几个相邻的量子比特。鉴于纠错码的最新发展,实现更长距离和更灵活的连接尤其具有吸引力,但这通常涉及复杂的多层封装和外部布线,不仅耗费大量资源,而且会对保真度造成限制。在这里,我们提出并实现了一种高速片上量子处理器,它支持可重构的全对全耦合,并具有较大的通断比。我们在一个四节点量子处理器中实现了这一设计,该处理器采用模块化设计,包括一个布线基板和两个独立的量子比特承载基板,每个基板包括两个单量子比特节点。我们利用该器件演示了所有量子比特对的可重构受控𝑍门,其基准平均保真度为 96.00%±0.08%,最佳保真度为 97.14%±0.07%,主要受量子比特去相差的限制。我们还生成了分布在不同模块上的多量子比特纠缠,展示了 GHZ-3 和 GHZ-4 状态,保真度分别为 88.15%±0.24% 和 75.18%±0.11%。这种方法有望高效地扩展到更大规模的量子电路,并为实施量子算法和纠错方案提供了一条途径,这些算法和方案可从增强的量子比特连接中获益。
{"title":"Modular Quantum Processor with an All-to-All Reconfigurable Router","authors":"Xuntao Wu, Haoxiong Yan, Gustav Andersson, Alexander Anferov, Ming-Han Chou, Christopher R. Conner, Joel Grebel, Yash J. Joshi, Shiheng Li, Jacob M. Miller, Rhys G. Povey, Hong Qiao, Andrew N. Cleland","doi":"10.1103/physrevx.14.041030","DOIUrl":"https://doi.org/10.1103/physrevx.14.041030","url":null,"abstract":"Superconducting qubits provide a promising approach to large-scale fault-tolerant quantum computing. However, qubit connectivity on a planar surface is typically restricted to only a few neighboring qubits. Achieving longer-range and more flexible connectivity, which is particularly appealing in light of recent developments in error-correcting codes, however, usually involves complex multilayer packaging and external cabling, which is resource intensive and can impose fidelity limitations. Here, we propose and realize a high-speed on-chip quantum processor that supports reconfigurable all-to-all coupling with a large on-off ratio. We implement the design in a four-node quantum processor, built with a modular design comprising a wiring substrate coupled to two separate qubit-bearing substrates, each including two single-qubit nodes. We use this device to demonstrate reconfigurable controlled-&lt;mjx-container ctxtmenu_counter=\"131\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"&gt;&lt;mjx-math data-semantic-structure=\"0\"&gt;&lt;mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"upper Z\" data-semantic-type=\"identifier\"&gt;&lt;mjx-c&gt;𝑍&lt;/mjx-c&gt;&lt;/mjx-mi&gt;&lt;/mjx-math&gt;&lt;/mjx-container&gt; gates across all qubit pairs, with a benchmarked average fidelity of &lt;mjx-container ctxtmenu_counter=\"132\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"&gt;&lt;mjx-math data-semantic-children=\"0,1,5,4\" data-semantic-content=\"1,4\" data-semantic- data-semantic-owns=\"0 1 5 4\" data-semantic-role=\"sequence\" data-semantic-speech=\"96.00 percent sign plus or minus 0.08 percent sign\" data-semantic-structure=\"(6 0 1 (5 2 3) 4)\" data-semantic-type=\"punctuated\"&gt;&lt;mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"6\" data-semantic-role=\"float\" data-semantic-type=\"number\"&gt;&lt;mjx-c noic=\"true\" style=\"padding-top: 0.646em;\"&gt;9&lt;/mjx-c&gt;&lt;mjx-c noic=\"true\" style=\"padding-top: 0.646em;\"&gt;6&lt;/mjx-c&gt;&lt;mjx-c noic=\"true\" style=\"padding-top: 0.646em;\"&gt;.&lt;/mjx-c&gt;&lt;mjx-c noic=\"true\" style=\"padding-top: 0.646em;\"&gt;0&lt;/mjx-c&gt;&lt;mjx-c style=\"padding-top: 0.646em;\"&gt;0&lt;/mjx-c&gt;&lt;/mjx-mn&gt;&lt;mjx-mo data-semantic- data-semantic-operator=\"punctuated\" data-semantic-parent=\"6\" data-semantic-role=\"unknown\" data-semantic-type=\"punctuation\"&gt;&lt;mjx-c&gt;%&lt;/mjx-c&gt;&lt;/mjx-mo&gt;&lt;mjx-mrow data-semantic-added=\"true\" data-semantic-children=\"3\" data-semantic-content=\"2\" data-semantic- data-semantic-owns=\"2 3\" data-semantic-parent=\"6\" data-semantic-role=\"addition\" data-semantic-type=\"prefixop\" space=\"3\"&gt;&lt;mjx-mo data-semantic- data-semantic-operator=\"prefixop,±\" data-semantic-parent=\"5\" data-semantic-role=\"addition\" data-semantic-type=\"operator\"&gt;&lt;mjx-c&gt;±&lt;/mjx-c&gt;&lt;/mjx-mo&gt;&lt;mjx-mn data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- ","PeriodicalId":20161,"journal":{"name":"Physical Review X","volume":"67 1","pages":""},"PeriodicalIF":12.5,"publicationDate":"2024-11-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142574700","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Defining Stable Phases of Open Quantum Systems 定义开放量子系统的稳定相位
IF 12.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-11-04 DOI: 10.1103/physrevx.14.041031
Tibor Rakovszky, Sarang Gopalakrishnan, Curt von Keyserlingk
The steady states of dynamical processes can exhibit stable nontrivial phases, which can also serve as fault-tolerant classical or quantum memories. For Markovian quantum (classical) dynamics, these steady states are extremal eigenvectors of the non-Hermitian operators that generate the dynamics, i.e., quantum channels (Markov chains). However, since these operators are non-Hermitian, their spectra are an unreliable guide to dynamical relaxation timescales or to stability against perturbations. We propose an alternative dynamical criterion for a steady state to be in a stable phase, which we name uniformity: Informally, our criterion amounts to requiring that, under sufficiently small local perturbations of the dynamics, the unperturbed and perturbed steady states are related to one another by a finite-time dissipative evolution. We show that this criterion implies many of the properties one would want from any reasonable definition of a phase. We prove that uniformity is satisfied in a canonical classical cellular automaton, and we provide numerical evidence that the gap determines the relaxation rate between nearby steady states in the same phase, a situation we conjecture holds generically whenever uniformity is satisfied. We further conjecture some sufficient conditions for a channel to exhibit uniformity and therefore stability.
动力学过程的稳态可以表现出稳定的非三维阶段,也可以作为容错的经典或量子存储器。对于马尔可夫量子(经典)动力学,这些稳态是产生动力学的非ermitian 算子(即量子通道(马尔可夫链))的极值特征向量。然而,由于这些算子是非全息的,它们的频谱对于动态弛豫时标或对抗扰动的稳定性来说是不可靠的指导。我们提出了另一种稳态处于稳定阶段的动力学标准,并将其命名为均匀性:从形式上看,我们的标准相当于要求在足够小的局部动力学扰动下,未扰动稳态和扰动稳态通过有限时间耗散演化相互关联。我们证明,这一标准意味着相的任何合理定义所要求的许多特性。我们证明了在一个典型的经典蜂窝自动机中满足了均匀性,并提供了数值证据,证明间隙决定了同一相位中邻近稳态之间的松弛率,我们猜想只要满足了均匀性,这种情况一般都会成立。我们进一步猜想了通道表现出均匀性并因此表现出稳定性的一些充分条件。
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引用次数: 0
Scalable Multispecies Ion Transport in a Grid-Based Surface-Electrode Trap 基于网格的表面电极陷阱中的可扩展多物种离子传输
IF 12.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-11-01 DOI: 10.1103/physrevx.14.041028
Robert D. Delaney, Lucas R. Sletten, Matthew J. Cich, Brian Estey, Maya I. Fabrikant, David Hayes, Ian M. Hoffman, James Hostetter, Christopher Langer, Steven A. Moses, Abigail R. Perry, Timothy A. Peterson, Andrew Schaffer, Curtis Volin, Grahame Vittorini, William Cody Burton
Quantum processors based on linear arrays of trapped ions have achieved exceptional performance, but scaling to large qubit numbers requires realizing two-dimensional ion arrays as envisioned in the quantum charge-coupled device (QCCD) architecture. Here, we present a scalable method for the control of ion crystals in a grid-based surface-electrode Paul trap and characterize it in the context of transport operations that sort and reorder multispecies crystals. By combining cowiring of control electrodes at translationally symmetric locations in each grid site with the sitewise ability to exchange the voltages applied to two special electrodes gated by a binary input, site-dependent operations can be achieved using only a fixed number of analog voltage signals and a single digital input per site. In two separate experimental systems containing nominally identical grid traps, one using <mjx-container ctxtmenu_counter="21" ctxtmenu_oldtabindex="1" jax="CHTML" overflow="linebreak" role="tree" sre-explorer- style="font-size: 100.7%;" tabindex="0"><mjx-math data-semantic-structure="(17 (7 (2 0 1) 3 4 5 6) 8 (16 (11 9 10) 12 13 14 15))"><mjx-mrow data-semantic-children="7,16" data-semantic-content="8" data-semantic- data-semantic-owns="7 8 16" data-semantic-role="subtraction" data-semantic-speech="Superscript 171 Baseline upper Y b Superscript plus minus Superscript 138 Baseline upper B a Superscript plus" data-semantic-type="infixop"><mjx-mmultiscripts data-semantic-children="2,3,4,5,6" data-semantic-collapsed="(7 2 3 4 5 6)" data-semantic- data-semantic-owns="2 3 4 5 6" data-semantic-parent="17" data-semantic-role="unknown" data-semantic-type="tensor"><mjx-prescripts style="vertical-align: 0.555em;"><mjx-row><mjx-cell><mjx-mrow size="s"><mjx-mn data-semantic-font="normal" data-semantic- data-semantic-parent="7" data-semantic-role="leftsuper" data-semantic-type="number"><mjx-c noic="true" style="padding-top: 0.639em;">1</mjx-c><mjx-c noic="true" style="padding-top: 0.639em;">7</mjx-c><mjx-c style="padding-top: 0.639em;">1</mjx-c></mjx-mn></mjx-mrow></mjx-cell></mjx-row><mjx-row style="height: 0.796em;"></mjx-row><mjx-row><mjx-cell><mjx-none data-semantic- data-semantic-parent="7" data-semantic-role="leftsub" data-semantic-type="empty" size="s"></mjx-none></mjx-cell></mjx-row></mjx-prescripts><mjx-mrow><mjx-msup data-semantic-children="0,1" data-semantic- data-semantic-owns="0 1" data-semantic-parent="7" data-semantic-role="unknown" data-semantic-type="superscript"><mjx-mrow><mjx-mi data-semantic-font="normal" data-semantic- data-semantic-parent="2" data-semantic-role="unknown" data-semantic-type="identifier"><mjx-c noic="true" style="padding-top: 0.706em;">Y</mjx-c><mjx-c style="padding-top: 0.706em;">b</mjx-c></mjx-mi></mjx-mrow><mjx-script style="vertical-align: 0.433em;"><mjx-mrow size="s"><mjx-mo data-semantic- data-semantic-parent="2" data-semantic-role="addition" data-semantic-type="operator"><mjx-c>+</mjx-c></mjx-mo></mjx-mrow></mjx-script></mjx
基于线性阱离子阵列的量子处理器已经取得了卓越的性能,但要扩展到大量子比特数,就必须实现量子电荷耦合器件(QCCD)架构中设想的二维离子阵列。在这里,我们提出了一种可扩展的方法,用于控制基于网格的表面电极保罗阱中的离子晶体,并在对多物种晶体进行分类和重新排序的传输操作中对其进行了描述。通过在每个栅格位置的平移对称位置配置控制电极,并通过二进制输入控制两个特殊电极交换电压,每个栅格位置只需使用固定数量的模拟电压信号和单个数字输入,就能实现与栅格位置相关的操作。在两个包含名义上完全相同的网格阱的独立实验系统中(一个使用 171Yb+-138Ba+ 晶体,另一个使用 137Ba+-88Sr+ 晶体),我们通过表征晶体内部的条件重排和网格上相邻位点之间的条件离子交换,演示了这种方法。我们测量了在 2.5 kHz 的交换速率下进行这些操作后晶体轴向同相和非同相模式的次量子运动激发,并对感兴趣的多位点区域进行了平均。在这一初步演示中,控制电压交换的逻辑是在软件中实现的,但应用的信号模仿了使用交叉开关的硬件实现方案。这些技术可以进一步扩展,以实现 QCCD 架构中的其他条件操作,如门、初始化和测量。
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引用次数: 0
Opening the Black Box inside Grover’s Algorithm 打开格罗弗算法的黑匣子
IF 12.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-11-01 DOI: 10.1103/physrevx.14.041029
E. M. Stoudenmire, Xavier Waintal
Grover’s algorithm is one of the primary algorithms offered as evidence that quantum computers can provide an advantage over classical computers. It involves an “oracle” (external quantum subroutine), which must be specified for a given application and whose internal structure is not part of the formal scaling of the quadratic quantum speedup guaranteed by the algorithm. Grover’’s algorithm also requires exponentially many calls to the quantum oracle (approximately <mjx-container ctxtmenu_counter="41" ctxtmenu_oldtabindex="1" jax="CHTML" overflow="linebreak" role="tree" sre-explorer- style="font-size: 100.7%;" tabindex="0"><mjx-math data-semantic-structure="(3 (2 0 1))"><mjx-msqrt data-semantic-children="2" data-semantic- data-semantic-owns="2" data-semantic-role="unknown" data-semantic-speech="StartRoot 2 Superscript n Baseline EndRoot" data-semantic-type="sqrt"><mjx-sqrt><mjx-surd><mjx-mo><mjx-c>√</mjx-c></mjx-mo></mjx-surd><mjx-box style="padding-top: 0.28em; border-top-width: 0.085em;"><mjx-msup data-semantic-children="0,1" data-semantic- data-semantic-owns="0 1" data-semantic-parent="3" data-semantic-role="integer" data-semantic-type="superscript"><mjx-mn data-semantic-annotation="clearspeak:simple" data-semantic-font="normal" data-semantic- data-semantic-parent="2" data-semantic-role="integer" data-semantic-type="number"><mjx-c>2</mjx-c></mjx-mn><mjx-script style="vertical-align: 0.289em;"><mjx-mi data-semantic-annotation="clearspeak:simple" data-semantic-font="italic" data-semantic- data-semantic-parent="2" data-semantic-role="latinletter" data-semantic-type="identifier" size="s"><mjx-c>𝑛</mjx-c></mjx-mi></mjx-script></mjx-msup></mjx-box></mjx-sqrt></mjx-msqrt></mjx-math></mjx-container> calls where n is the number of qubits) to succeed, raising the question of its implementation on both noisy and error-corrected quantum computers. In this work, we construct a quantum-inspired algorithm executable on a classical computer that performs Grover’s task in a linear number of calls to (simulations of) the oracle—an exponentially smaller number than Grover’s algorithm—and demonstrate this algorithm explicitly for Boolean satisfiability problems. The complexity of our algorithm depends on the cost to simulate the oracle once, which may or may not be exponential, depending on its internal structure. Indeed, Grover’s algorithm does not have an <i>a priori</i> quantum speedup as soon as one is given access to the “source code” of the oracle, which may reveal an internal structure of the problem. Our findings illustrate this point explicitly, as our algorithm exploits the structure of the quantum circuit used to program the quantum computer to speed up the search. There are still problems where Grover’s algorithm would provide an asymptotic speedup if it could be run accurately for large enough sizes. Our quantum-inspired algorithm provides lower bounds, in terms of the quantum-circuit complexity, for the quantum hardware to beat classical approaches
格罗弗算法是证明量子计算机比经典计算机更具优势的主要算法之一。该算法涉及一个 "oracle"(外部量子子程序),必须针对给定的应用进行指定,其内部结构不属于该算法所保证的四次量子加速的形式缩放的一部分。格罗弗的算法还需要指数级地多次调用量子神谕(大约 √2𝑛 次调用,其中 n 是量子比特数)才能成功,这就提出了在噪声量子计算机和纠错量子计算机上实现该算法的问题。在这项工作中,我们构建了一种可在经典计算机上执行的量子启发算法,该算法只需线性调用(模拟)神谕次数即可完成格罗弗的任务--比格罗弗算法的调用次数少得多。我们算法的复杂度取决于模拟一次甲骨文的成本,这可能是也可能不是指数级的,取决于甲骨文的内部结构。事实上,只要能够访问甲骨文的 "源代码",格罗弗算法就不会有先验的量子提速,因为 "源代码 "可能会揭示问题的内部结构。我们的研究结果明确地说明了这一点,因为我们的算法利用了量子电路的结构来为量子计算机编程,从而加快了搜索速度。如果格罗弗算法能在足够大的规模下精确运行,那么它仍能在一些问题上提供渐进式加速。我们的量子启发算法提供了量子电路复杂度的下限,使量子硬件在处理这些问题时能够击败经典方法。这些估计值,再加上格罗弗算法成功概率的不利缩放(在存在噪声的情况下,成功概率以量子比特数的指数衰减),使得即使在对硬件质量和可用性的演化持极为乐观的假设下,实际的速度提升也是不现实的。
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引用次数: 0
First Principles Numerical Demonstration of Emergent Decoherent Histories 新兴解相干历史的第一原理数值演示
IF 12.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-10-30 DOI: 10.1103/physrevx.14.041027
Philipp Strasberg, Teresa E. Reinhard, Joseph Schindler
Within the histories formalism the decoherence functional is a formal tool to investigate the emergence of classicality in isolated quantum systems, yet an explicit evaluation of it from first principles has not been reported. We provide such an evaluation for up to five-time histories based on exact numerical diagonalization of the Schrödinger equation. We find a robust emergence of decoherence for slow and coarse observables of a generic random matrix model and extract a finite-size scaling law by varying the Hilbert space dimension over 4 orders of magnitude. Specifically, we conjecture and observe an exponential suppression of coherent effects as a function of the particle number of the system. This suggests a solution to the preferred basis problem of the many-worlds interpretation (or the set selection problem of the histories formalism) within a minimal theoretical framework without relying on environmentally induced decoherence, quantum Darwinism, Markov approximations, low-entropy initial states, or ensemble averages.
在历史形式主义中,退相干函数是研究孤立量子系统中经典性出现的一个正式工具,然而从第一性原理对其进行明确评估的报道却寥寥无几。我们基于薛定谔方程的精确数值对角化,为多达五次的历史提供了这样的评估。我们发现,对于一般随机矩阵模型的慢速和粗略观测值,会出现稳健的退相干现象,并通过在 4 个数量级上改变希尔伯特空间维度,提取出有限大小的缩放规律。具体来说,我们推测并观察到相干效应的指数抑制是系统粒子数的函数。这表明,在最小理论框架内,无需依赖环境诱导的退相干、量子达尔文主义、马尔可夫近似、低熵初始状态或集合平均,就能解决多世界解释的首选基础问题(或历史形式主义的集合选择问题)。
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引用次数: 0
Impact of Nuclear Motion on Light-Induced Bimolecular Interaction Dynamics 核运动对光诱导双分子相互作用动力学的影响
IF 12.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-10-02 DOI: 10.1103/physrevx.14.041001
Menghang Shi, Hao Huang, Chenxu Lu, Shengzhe Pan, Lianrong Zhou, Zhejun Jiang, Hongcheng Ni, Wenbin Zhang, Jian Wu
In chemical reactions, the nuclear motion of the molecules plays a crucial role in determining the reaction rates and outcomes. Employing the cold target recoil ion momentum spectroscopy and femtosecond pump-probe techniques, we perform a molecular-level study into the influence of nuclear vibrations on light-induced bimolecular reactions within H2D2 dimers. The study focuses on the formation dynamics of D2H+ and H2D+ cations, shedding light on the interplay between translational and vibrational motions of the nuclei steering the bimolecular reactions. Our observations reveal a notable yield ratio of 1:1.6 between H2D+ and D2H+ channels, accompanied with a faster formation of D2H+ compared to H2D+. Molecular dynamics simulations unveil that the faster vibrational motion of H2+ than that of D2+ upon single ionization within the dimer accounts for these differences. Our findings provide new insight into the time-resolved kinetic isotope effect on the bimolecular reactions, highlighting the critical relationship between nuclear vibrational motions and reaction dynamics.
在化学反应中,分子的核运动对决定反应速率和结果起着至关重要的作用。利用冷靶反冲离子动量光谱和飞秒泵浦探针技术,我们在分子水平上研究了核振动对 H2-D2 二聚体中光诱导双分子反应的影响。研究的重点是 D2H+ 和 H2D+ 阳离子的形成动力学,揭示了引导双分子反应的原子核平移运动和振动运动之间的相互作用。我们的观察结果表明,H2D+ 和 D2H+ 通道之间的产率比为 1:1.6,同时 D2H+ 的形成速度快于 H2D+。分子动力学模拟揭示了造成这些差异的原因,即在二聚体内发生单电离时,H2+ 的振动运动比 D2+ 快。我们的发现为双分子反应的时间分辨动力学同位素效应提供了新的见解,突出了核振动运动与反应动力学之间的重要关系。
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引用次数: 0
Quantum Entanglement between Optical and Microwave Photonic Qubits 光学和微波光子丘比特之间的量子纠缠
IF 12.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Pub Date : 2024-09-30 DOI: 10.1103/physrevx.14.031055
Srujan Meesala, David Lake, Steven Wood, Piero Chiappina, Changchun Zhong, Andrew D. Beyer, Matthew D. Shaw, Liang Jiang, Oskar Painter
Entanglement is an extraordinary feature of quantum mechanics. Sources of entangled optical photons were essential to test the foundations of quantum physics through violations of Bell’s inequalities. More recently, entangled many-body states have been realized via strong nonlinear interactions in microwave circuits with superconducting qubits. Here, we demonstrate a chip-scale source of entangled optical and microwave photonic qubits. Our device platform integrates a piezo-optomechanical transducer with a superconducting resonator which is robust under optical illumination. We drive a photon-pair generation process and employ a dual-rail encoding intrinsic to our system to prepare entangled states of microwave and optical photons. We place a lower bound on the fidelity of the entangled state by measuring microwave and optical photons in two orthogonal bases. This entanglement source can directly interface telecom wavelength time-bin qubits and gigahertz frequency superconducting qubits, two well-established platforms for quantum communication and computation, respectively.
纠缠是量子力学的一个非凡特征。纠缠光子的来源对于通过违反贝尔不等式来检验量子物理学的基础至关重要。最近,通过微波电路与超导量子比特的强非线性相互作用,纠缠多体态得以实现。在这里,我们展示了一种芯片级的纠缠光学和微波光子量子比特源。我们的设备平台集成了一个压光机械换能器和一个超导谐振器,该谐振器在光照下非常坚固。我们驱动光子对生成过程,并采用系统固有的双轨编码来制备微波和光学光子的纠缠态。我们在两个正交基点上测量微波和光学光子,从而确定了纠缠态保真度的下限。这种纠缠源可以直接连接电信波长时间宾量子比特和千兆赫频率超导量子比特,它们分别是量子通信和计算的两个成熟平台。
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引用次数: 0
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Physical Review X
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