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Quantum and Classical Contributions to Entropy Production in Fermionic and Bosonic Gaussian Systems 费米子和玻色子高斯系统中熵产生的量子和经典贡献
Q1 Mathematics Pub Date : 2023-03-22 DOI: 10.1103/PRXQuantum.4.020353
Krzysztof Ptaszyński, M. Esposito
As previously demonstrated, the entropy production -- a key quantity characterizing the irreversibility of thermodynamic processes -- is related to generation of correlations between degrees of freedom of the system and its thermal environment. This raises the question of whether such correlations are of a classical or quantum nature, namely, whether they are accessible through local measurements on the correlated degrees of freedom. We address this problem by considering fermionic and bosonic Gaussian systems. We show that for fermions the entropy production is mostly quantum due to the parity superselection rule which restricts the set of physically allowed measurements to projections on the Fock states, thus significantly limiting the amount of classically accessible correlations. In contrast, in bosonic systems a much larger amount of correlations can be accessed through Gaussian measurements. Specifically, while the quantum contribution may be important at low temperatures, in the high temperature limit the entropy production corresponds to purely classical position-momentum correlations. Our results demonstrate an important difference between fermionic and bosonic systems regarding the existence of a quantum-to-classical transition in the microscopic formulation of the entropy production. They also show that entropy production can be mainly caused by quantum correlations even in the weak coupling limit, which admits a description in terms of classical rate equations for state populations, as well as in the low particle density limit, where the transport properties of both bosons and fermions converge to those of classical particles.
如前所述,熵的产生——表征热力学过程不可逆性的关键量——与系统的自由度及其热环境之间的相关性的产生有关。这就提出了这样一个问题:这种相关性是经典的还是量子性质的,也就是说,它们是否可以通过对相关自由度的局部测量来获得。我们通过考虑费米子和玻色子高斯系统来解决这个问题。我们表明,对于费米子,由于宇称超选择规则,熵的产生主要是量子的,该规则将物理上允许的测量集限制在Fock态的投影上,从而显着限制了经典可访问相关性的数量。相比之下,在玻色子系统中,通过高斯测量可以获得更多的相关性。具体来说,虽然量子贡献在低温下可能很重要,但在高温极限下,熵的产生对应于纯粹经典的位置-动量关联。我们的结果证明了费米子系统和玻色子系统在熵产生的微观公式中存在量子到经典跃迁的重要区别。他们还表明,即使在弱耦合极限下,熵的产生也主要是由量子相关引起的,弱耦合极限允许用态居群的经典速率方程来描述,以及在低粒子密度极限下,玻色子和费米子的输运性质收敛于经典粒子的输运性质。
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引用次数: 2
Simulating Prethermalization Using Near-Term Quantum Computers 用近期量子计算机模拟预热化
Q1 Mathematics Pub Date : 2023-03-15 DOI: 10.1103/prxquantum.4.030320
Yi-Long Yang, Arthur Christianen, Sandra Coll-Vinent, V. Smelyanskiy, M. Bañuls, T. O’Brien, D. Wild, J. I. Cirac
Quantum simulation is one of the most promising scientific applications of quantum computers. Due to decoherence and noise in current devices, it is however challenging to perform digital quantum simulation in a regime that is intractable with classical computers. In this work, we propose an experimental protocol for probing dynamics and equilibrium properties on near-term digital quantum computers. As a key ingredient of our work, we show that it is possible to study thermalization even with a relatively coarse Trotter decomposition of the Hamiltonian evolution of interest. Even though the step size is too large to permit a rigorous bound on the Trotter error, we observe that the system prethermalizes in accordance with previous results for Floquet systems. The dynamics closely resemble the thermalization of the model underlying the Trotterization up to long times. We extend the reach of our approach by developing an error mitigation scheme based on measurement and rescaling of survival probabilities. To demonstrate the effectiveness of the entire protocol, we apply it to the two-dimensional XY model and numerically verify its performance with realistic noise parameters for superconducting quantum devices. Our proposal thus provides a route to achieving quantum advantage for relevant problems in condensed matter physics.
量子模拟是量子计算机最有前途的科学应用之一。然而,由于当前设备中的退相干和噪声,在经典计算机难以处理的状态下进行数字量子模拟是具有挑战性的。在这项工作中,我们提出了一种在近期数字量子计算机上探测动力学和平衡特性的实验方案。作为我们工作的一个关键组成部分,我们表明,即使对感兴趣的哈密顿演化进行相对粗糙的Trotter分解,也有可能研究热化。尽管步长太大,不允许对Trotter误差有严格的限制,但我们观察到系统与先前对Floquet系统的结果一致。动力学非常类似于模型的热化,在很长一段时间内都是如此。我们通过开发基于生存概率的测量和重新缩放的错误缓解方案来扩展我们的方法的范围。为了证明整个协议的有效性,我们将其应用于二维XY模型,并在超导量子器件的实际噪声参数下数值验证了其性能。因此,我们的建议为实现凝聚态物理相关问题的量子优势提供了一条途径。
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引用次数: 5
Waveguide QED with Quadratic Light-Matter Interactions 二次光-物质相互作用的波导QED
Q1 Mathematics Pub Date : 2023-03-13 DOI: 10.1103/PRXQuantum.4.030326
Uesli Alushi, T. Ramos, Juan Jos'e Garc'ia-Ripoll, R. Di Candia, S. Felicetti
Quadratic light-matter interactions are nonlinear couplings such that quantum emitters interact with photonic or phononic modes exclusively via the exchange of excitation pairs. Implementable with atomic and solid-state systems, these couplings lead to a plethora of phenomena that have been characterized in the context of cavity QED, where quantum emitters interact with localized bosonic modes. Here, we explore quadratic interactions in a waveguide QED setting, where quantum emitters interact with propagating fields confined in a one-dimensional environment. We develop a general scattering theory under the Markov approximation and discuss paradigmatic examples for spontaneous emission and scattering of biphoton states. Our analytical and semi-analytical results unveil fundamental differences with respect to conventional waveguide QED systems, such as the spontaneous emission of frequency-entangled photon pairs or the full transparency of the emitter to single-photon inputs. This unlocks new opportunities in quantum information processing with propagating photons. As a striking example, we show that a single quadratically-coupled emitter can implement a two-photon logic gate with unit fidelity, circumventing a no-go theorem derived for conventional waveguide-QED interactions.
二次光-物质相互作用是非线性耦合,量子发射体仅通过激发对的交换与光子或声子模式相互作用。这些耦合可以在原子和固态系统中实现,在腔QED的背景下,这些耦合导致了大量的现象,其中量子发射体与局域玻色子模式相互作用。在这里,我们探索了波导QED设置中的二次相互作用,其中量子发射器与一维环境中的传播场相互作用。我们在马尔可夫近似下建立了一般的散射理论,并讨论了双光子态自发发射和散射的典型例子。我们的分析和半分析结果揭示了与传统波导QED系统的根本区别,例如频率纠缠光子对的自发发射或发射器对单光子输入的完全透明。这为光子传播的量子信息处理带来了新的机遇。作为一个引人注目的例子,我们展示了一个单一的二次耦合发射器可以实现具有单位保真度的双光子逻辑门,绕过了传统波导- qed相互作用的不去定理。
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引用次数: 2
Photon-Emission-Correlation Spectroscopy as an Analytical Tool for Solid-State Quantum Defects 光子发射相关光谱作为固体量子缺陷的分析工具
Q1 Mathematics Pub Date : 2023-03-06 DOI: 10.1103/prxquantum.4.010202
Rebecca E. K. Fishman, Raj N. Patel, David A. Hopper, Tzu-Yung Huang, L. Bassett
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引用次数: 8
Chiral Quantum Optics in the Bulk of Photonic Quantum Hall Systems 光子量子霍尔系统中的手性量子光学
Q1 Mathematics Pub Date : 2023-02-28 DOI: 10.1103/PRXQuantum.4.030306
D. D. Bernardis, F. Piccioli, P. Rabl, I. Carusotto
We study light-matter interactions in the bulk of a two-dimensional photonic lattice system, where photons are subject to the combined effect of a synthetic magnetic field and an orthogonal synthetic electric field. In this configuration, chiral waveguide modes appear in the bulk region of the lattice, in direct analogy to transverse Hall currents in electronic systems. By evaluating the non-Markovian dynamics of emitters that are coupled to those modes, we identify critical coupling conditions, under which the shape of the spontaneously emitted photons becomes almost fully symmetric. Combined with a directional, dispersionless propagation, this property enables a complete reabsorption of the photon by another distant emitter, without relying on any time-dependent control. We show that this mechanism can be generalized to arbitrary in-plane synthetic potentials, thereby enabling flexible realizations of re-configurable networks of quantum emitters with arbitrary chiral connectivity.
我们研究了二维光子晶格系统中光与物质的相互作用,其中光子受到合成磁场和正交合成电场的联合作用。在这种配置中,手性波导模式出现在晶格的体区,与电子系统中的横向霍尔电流直接相似。通过评估与这些模式耦合的发射器的非马尔可夫动力学,我们确定了临界耦合条件,在该条件下,自发发射的光子的形状几乎完全对称。与定向、无色散传播相结合,这种特性使另一个遥远的发射器能够完全重新吸收光子,而不依赖于任何时间相关的控制。我们证明,这种机制可以推广到任意的平面内合成势,从而能够灵活地实现具有任意手性连接性的量子发射器的可重新配置网络。
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引用次数: 3
Optimal and Variational Multiparameter Quantum Metrology and Vector-Field Sensing 最优变分多参数量子计量与矢量场传感
Q1 Mathematics Pub Date : 2023-02-15 DOI: 10.1103/PRXQuantum.4.020333
Raphael Kaubruegger, Athreya Shankar, D. Vasilyev, P. Zoller
We study multi-parameter sensing of 2D and 3D vector fields within the Bayesian framework for $SU(2)$ quantum interferometry. We establish a method to determine the optimal quantum sensor, which establishes the fundamental limit on the precision of simultaneously estimating multiple parameters with an $N$-atom sensor. Keeping current experimental platforms in mind, we present sensors that have limited entanglement capabilities, and yet, significantly outperform sensors that operate without entanglement and approach the optimal quantum sensor in terms of performance. Furthermore, we show how these sensors can be implemented on current programmable quantum sensors with variational quantum circuits by minimizing a metrological cost function. The resulting circuits prepare tailored entangled states and perform measurements in an appropriate entangled basis to realize the best possible quantum sensor given the native entangling resources available on a given sensor platform. Notable examples include a 2D and 3D quantum ``compass'' and a 2D sensor that provides a scalable improvement over unentangled sensors. Our results on optimal and variational multi-parameter quantum metrology are useful for advancing precision measurements in fundamental science and ensuring the stability of quantum computers, which can be achieved through the incorporation of optimal quantum sensors in a quantum feedback loop.
我们在$SU(2)$量子干涉测量的贝叶斯框架内研究2D和3D矢量场的多参数传感。我们建立了一种确定最佳量子传感器的方法,该方法建立了用$N$-原子传感器同时估计多个参数的精度的基本极限。考虑到当前的实验平台,我们提出的传感器具有有限的纠缠能力,但显著优于在没有纠缠的情况下运行的传感器,并在性能方面接近最佳量子传感器。此外,我们展示了如何通过最小化计量成本函数,在具有变分量子电路的当前可编程量子传感器上实现这些传感器。得到的电路准备定制的纠缠态,并在适当的纠缠基础上进行测量,以在给定传感器平台上可用的本地纠缠资源的情况下实现尽可能好的量子传感器。值得注意的例子包括2D和3D量子“指南针”以及与未纠缠传感器相比提供可扩展改进的2D传感器。我们关于最优和变分多参数量子计量的结果有助于推进基础科学中的精确测量,并确保量子计算机的稳定性,这可以通过在量子反馈回路中引入最优量子传感器来实现。
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引用次数: 5
Hamiltonian Extrema of an Arbitrary Flux-Biased Josephson Circuit 任意偏磁约瑟夫森电路的哈密顿极值
Q1 Mathematics Pub Date : 2023-02-06 DOI: 10.1103/PRXQuantum.4.030324
A. Miano, V. Joshi, G. Liu, W. Dai, P. D. Parakh, L. Frunzio, M. Devoret
Flux-biased loops including one or more Josephson junctions are ubiquitous elements in quantum information experiments based on superconducting circuits. These quantum circuits can be tuned to implement a variety of Hamiltonians, with applications ranging from decoherence-protected qubits to quantum limited converters and amplifiers. The extrema of the Hamiltonian of these circuits are of special interest because they govern their low-energy dynamics. However, the theory of superconducting quantum circuits so far lacks a systematic method to find these extrema and compute the series expansion of the Hamiltonian in their vicinity for an arbitrary nonlinear superconducting circuit. We present such a method, which can aid the synthesis of new functionalities in quantum devices.
包含一个或多个约瑟夫森结的偏磁回路是超导电路量子信息实验中普遍存在的元件。这些量子电路可以调谐以实现各种哈密顿量,应用范围从退相干保护量子比特到量子限制转换器和放大器。这些电路的哈密顿量的极值是特别有趣的,因为它们控制着它们的低能动力学。然而,超导量子电路理论目前还缺乏一种系统的方法来找到这些极值,并计算任意非线性超导电路在其附近的哈密顿量的级数展开。我们提出了这样一种方法,它可以帮助合成量子器件中的新功能。
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引用次数: 8
Long-Distance Transmon Coupler with cz-Gate Fidelity above 99.8% cz门保真度大于99.8%的长距离Transmon耦合器
Q1 Mathematics Pub Date : 2023-02-06 DOI: 10.1103/prxquantum.4.010314
F. Marxer, A. Vepsäläinen, S. Jolin, J. Tuorila, Alessandro Landra, Caspar Ockeloen-Korppi, Wei Liu, Olli Ahonen, Adrian Auer, Lucien Belzane, V. Bergholm, C. Chan, K. Chan, T. Hiltunen, J. Hotari, E. Hyyppä, J. Ikonen, David Janzso, M. Koistinen, Janne Kotilahti, Tianyi Li, Jyrgen Luus, Miha Papic, M. Partanen, J. Räbinä, J. Rosti, Mykhailo Savytskyi, Marko Seppälä, V. Sevriuk, E. Takala, B. Tarasinski, Manish J. Thapa, F. Tosto, N. Vorobeva, Liuqi Yu, K. Tan, J. Hassel, M. Möttönen, J. Heinsoo
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引用次数: 0
Controlling Two-Dimensional Coulomb Crystals of More Than 100 Ions in a Monolithic Radio-Frequency Trap 在单片射频阱中控制超过100个离子的二维库仑晶体
Q1 Mathematics Pub Date : 2023-02-01 DOI: 10.1103/PRXQuantum.4.020317
D. Kiesenhofer, H. Hainzer, A. Zhdanov, P. Holz, M. Bock, T. Ollikainen, Christian Roos
Linear strings of trapped atomic ions held in radio-frequency (rf) traps constitute one of the leading platforms for quantum simulation experiments, allowing for the investigation of interacting quantum matter. However, linear ion strings have drawbacks, such as the difficulty to scale beyond $sim 50$ particles as well as the inability to naturally implement spin models with more than one spatial dimension. Here, we present experiments with planar Coulomb crystals of about 100 $^{40}$Ca$^+$ ions in a novel monolithic rf trap, laying the groundwork for quantum simulations of two-dimensional spin models with single-particle control. We characterize the trapping potential by analysis of crystal images and compare the observed crystal configurations with numerical simulations. We further demonstrate stable confinement of large crystals, free of structural configuration changes, and find that rf heating of the crystal is not an obstacle for future quantum simulation experiments. Finally, we prepare the out-of-plane motional modes of planar crystals consisting of up to 105 ions close to their ground state by electromagnetically-induced transparency cooling, an important prerequisite for implementing long-range entangling interactions.
射频(rf)陷阱中捕获的线性原子离子串构成了量子模拟实验的领先平台之一,可以研究相互作用的量子物质。然而,线性离子串也有缺点,例如难以扩展到$sim 50$粒子之外,以及无法自然实现具有多个空间维度的自旋模型。在这里,我们在一个新型单片射频阱中对大约100$^{40}$Ca$^+$离子的平面库仑晶体进行了实验,为单粒子控制的二维自旋模型的量子模拟奠定了基础。我们通过分析晶体图像来表征捕获电势,并将观察到的晶体配置与数值模拟进行比较。我们进一步证明了大晶体的稳定约束,没有结构构型变化,并发现晶体的射频加热不会成为未来量子模拟实验的障碍。最后,我们通过电磁诱导透明冷却制备了由高达105个接近基态的离子组成的平面晶体的平面外运动模式,这是实现长程纠缠相互作用的重要前提。
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引用次数: 9
Single Flux Quantum-Based Digital Control of Superconducting Qubits in a Multichip Module 多芯片模块中基于单通量量子的超导量子比特数字控制
Q1 Mathematics Pub Date : 2023-01-13 DOI: 10.1103/PRXQuantum.4.030310
Chuan-Hong Liu, A. Ballard, D. Olaya, D. Schmidt, J. Biesecker, T. Lucas, J. Ullom, S. Patel, Owen Rafferty, A. Opremcak, K. Dodge, V. Iaia, Tianna McBroom, J. Dubois, Peter Hopkins, S. Benz, B. Plourde, R. McDermott
The single flux quantum (SFQ) digital superconducting logic family has been proposed for the scalable control of next-generation superconducting qubit arrays. In the initial implementation, SFQ-based gate fidelity was limited by quasiparticle (QP) poisoning induced by the dissipative on-chip SFQ driver circuit. In this work, we introduce a multi-chip module architecture to suppress phonon-mediated QP poisoning. Here, the SFQ elements and qubits are fabricated on separate chips that are joined with In bump bonds. We use interleaved randomized benchmarking to characterize the fidelity of SFQ-based gates, and we demonstrate an error per Clifford gate of 1.2(1)%, an order-of-magnitude reduction over the gate error achieved in the initial realization of SFQ-based qubit control. We use purity benchmarking to quantify the contribution of incoherent error at 0.96(2)%; we attribute this error to photon-mediated QP poisoning mediated by the resonant mm-wave antenna modes of the qubit and SFQ-qubit coupler. We anticipate that a straightforward redesign of the SFQ driver circuit to limit the bandwidth of the SFQ pulses will eliminate this source of infidelity, allowing SFQ-based gates with fidelity approaching theoretical limits, namely 99.9% for resonant sequences and 99.99% for more complex pulse sequences involving variable pulse-to-pulse separation.
提出了单通量量子(SFQ)数字超导逻辑族,用于下一代超导量子比特阵列的可扩展控制。在最初的实现中,基于SFQ的门保真度受到片上耗散SFQ驱动电路引起的准粒子(QP)中毒的限制。在这项工作中,我们引入了一个多芯片模块架构来抑制声子介导的QP中毒。在这里,SFQ元件和量子位是在单独的芯片上制造的,这些芯片用In碰撞键连接。我们使用交错随机基准测试来表征基于sfq的门的保真度,并且我们证明了每个Clifford门的误差为1.2(1)%,比初始实现基于sfq的量子比特控制时实现的门误差降低了一个数量级。我们使用纯度基准测试将非相干误差的贡献量化为0.96(2)%;我们将此误差归因于量子比特和sfq -量子比特耦合器的谐振毫米波天线模式介导的光子介导的QP中毒。我们预计,直接重新设计SFQ驱动电路以限制SFQ脉冲的带宽将消除这种不忠源,使基于SFQ的门具有接近理论极限的保真度,即共振序列为99.9%,涉及可变脉冲到脉冲分离的更复杂脉冲序列为99.99%。
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引用次数: 9
期刊
PRX quantum : a Physical Review journal
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