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Discrete-time quantum walk with time-correlated noise 具有时间相关噪声的离散时间量子行走
Pub Date : 2020-11-20 DOI: 10.1103/PHYSREVA.103.032205
Y. Peng, W. Wang, X. Yi
We investigate the dynamics of discrete-time quantum walk subject to time correlated noise. Noise is described as an unitary coin-type operator before each step, and attention is focused on the noise generated by a Gaussian Ornstein Uhlenbeck process, going beyond the usual telegraph noise, where the random variables are consist of only -1 and 1. Under the first-order approximation of BCH formula, the master equation of noisy discrete-time quantum walk is derived. The dynamics given by the master equation are in good agreement with those given by numerical simulations within a certain period of steps, which is controlled by noise parameters. Two remarker behaviors of long time noisy dynamics are observed in numerical simulations, corresponding to two opposite noise regimes: in slow noise regime, with the increase of the noise amplitude, the quantum coherence is suppressed, and the dynamics of noisy discrete-time quantum walk gradually transits to that of classical random walk. In fast noise regime, the walker is confined into few lattice sites, and the width of wave packet is much narrower compared with that in slow noise regime.
研究了受时间相关噪声影响的离散时间量子行走动力学。在每一步之前,噪声被描述为一个统一的硬币型算子,并且注意力集中在高斯Ornstein Uhlenbeck过程产生的噪声上,超越了通常的电报噪声,其中随机变量仅由-1和1组成。在BCH公式的一阶近似下,导出了噪声离散时间量子行走的主方程。在受噪声参数控制的一定步长范围内,主方程给出的动力学特性与数值模拟结果吻合较好。在数值模拟中观察到长时间噪声动力学的两种重新标记行为,对应于两种相反的噪声状态:在慢噪声状态下,随着噪声幅值的增加,量子相干性被抑制,噪声离散时间量子游动的动力学逐渐过渡到经典随机游动的动力学。在快速噪声条件下,步行者被限制在几个点阵中,波包宽度比慢噪声条件下要窄得多。
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引用次数: 3
Quantum many-body attractors 量子多体吸引子
Pub Date : 2020-11-20 DOI: 10.21203/RS.3.RS-106008/V1
B. Buča, Archak Purkayastha, G. Guarnieri, M. Mitchison, D. Jaksch, J. Goold
Real-world complex systems often show robust, persistent oscillatory dynamics, e.g.~non-trivial attractors. On the quantum level this behaviour has only been found in semi-classical or weakly correlated systems under restrictive assumptions. However, strongly interacting systems without classical limits, e.g.~electrons on a lattice or spins, typically relax quickly to a stationary state (trivial attractors). This raises the puzzling question of how non-trivial attractors can arise from the quantum laws. Here, we introduce strictly local dynamical symmetries that lead to extremely robust and persistent oscillations in quantum many-body systems without a classical limit. Observables that do not have overlap with the symmetry operators can relax, losing memory of their initial conditions. The remaining observables enter complex dynamical cycles, signalling the emergence of a quantum many-body attractor. We provide a recipe for constructing Hamiltonians featuring local dynamical symmetries. As an example, we introduce the spin lace – a model of a quasi-1D quantum magnet.
现实世界的复杂系统经常表现出鲁棒、持久的振荡动力学,例如~非平凡吸引子。在量子水平上,这种行为只在限制性假设下的半经典或弱相关系统中被发现。然而,没有经典限制的强相互作用系统,例如晶格或自旋上的~电子,通常会迅速弛豫到定态(平凡吸引子)。这就提出了一个令人困惑的问题:如何从量子定律中产生非平凡的吸引子。在这里,我们引入了导致量子多体系统中没有经典极限的极端鲁棒和持久振荡的严格局部动力对称性。与对称算子没有重叠的可观测值会松弛,失去对其初始条件的记忆。剩余的可观测量进入复杂的动力学循环,标志着量子多体吸引子的出现。我们提供了一个构造具有局部动力对称性的哈密顿量的方法。作为一个例子,我们介绍了自旋花边-一个准一维量子磁体的模型。
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引用次数: 16
Photon-recoil and laser-focusing limits to Rydberg gate fidelity 光子反冲和激光聚焦对里德伯门保真度的限制
Pub Date : 2020-11-19 DOI: 10.1103/PHYSREVA.103.022424
F. Robicheaux, T. Graham, M. Saffman
Limits to Rydberg gate fidelity that arise from the entanglement of internal states of neutral atoms with the motional degrees of freedom due to the momentum kick from photon absorption and re-emission is quantified. This occurs when the atom is in a superposition of internal states but only one of these states is manipulated by visible or UV photons. The Schrodinger equation that describes this situation is presented and two cases are explored. In the first case, the entanglement arises because the spatial wave function shifts due to the separation in time between excitation and stimulated emission. For neutral atoms in a harmonic trap, the decoherence can be expressed within a sudden approximation when the duration of the laser pulses are shorter than the harmonic oscillator period. In this limit, the decoherence is given by simple analytic formulas that account for the momentum of the photon, the temperature of the atoms, the harmonic oscillator frequency, and atomic mass. In the second case, there is a reduction in gate fidelity because the photons causing absorption and stimulated emission are in focused beam modes. This leads to a dependence of the optically induced changes in the internal states on the center of mass atomic position. In the limit where the time between pulses is short, the decoherence can be expressed as a simple analytic formula involving the laser waist, temperature of the atoms, the trap frequency and the atomic mass. These limits on gate fidelity are studied for the standard $pi-2pi-pi$ Rydberg gate and a new protocol based on a single adiabatic pulse with Gaussian envelope.
对中性原子内部态与运动自由度的纠缠所产生的里德伯门保真度的限制进行了量化,这种纠缠是由于光子吸收和再发射的动量踢引起的。当原子处于内部状态的叠加状态时,这种情况就会发生,但这些状态中只有一个是由可见光或紫外线光子操纵的。给出了描述这种情况的薛定谔方程,并探讨了两种情况。在第一种情况下,由于激发和受激发射在时间上的分离,空间波函数发生了位移,从而产生了纠缠。对于谐波阱中的中性原子,当激光脉冲的持续时间短于谐振周期时,退相干可以在一个突然近似内表示。在这个极限下,退相干是由简单的解析公式给出的,该公式考虑了光子的动量、原子的温度、谐振子频率和原子质量。在第二种情况下,由于引起吸收和受激发射的光子处于聚焦光束模式,因此栅极保真度降低。这导致光学诱导的内部状态的变化依赖于质心原子位置。在脉冲间隔时间较短的情况下,退相干可以用一个简单的解析公式来表示,该公式涉及到激光束腰、原子温度、阱频率和原子质量。研究了标准的$pi-2pi-pi$ Rydberg门和基于高斯包络单绝热脉冲的新协议对门保真度的限制。
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引用次数: 19
Determining the position of a single spin relative to a metallic nanowire 确定单个自旋相对于金属纳米线的位置
Pub Date : 2020-11-19 DOI: 10.1063/5.0042987
J. D. S. Barbosa, Myoung-Jae Lee, P. Campagne-Ibarcq, P. Jamonneau, Y. Kubo, S. Pezzagna, J. Meijer, T. Teraji, D. Vion, D. Estève, R. Heeres, P. Bertet
The nanoscale localization of individual paramagnetic defects near an electrical circuit is an important step for realizing hybrid quantum devices with strong spin-microwave photon coupling. Here, we demonstrate the fabrication of an array of individual NV centers in diamond near a metallic nanowire deposited on top of the substrate. We determine the relative position of each NV center with $sim$10,nm accuracy, using it as a vector magnetometer to measure the field generated by passing a dc current through the wire.
电路附近单个顺磁缺陷的纳米级定位是实现具有强自旋-微波光子耦合的混合量子器件的重要步骤。在这里,我们展示了在沉积在衬底顶部的金属纳米线附近的金刚石中制造单个NV中心阵列的方法。我们以$ $10,nm的精度确定每个NV中心的相对位置,使用它作为矢量磁力计来测量通过导线的直流电流产生的场。
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引用次数: 2
Proposal for Entangling Gates on Fluxonium Qubits via a Two-Photon Transition 利用双光子跃迁在氟鎓量子比特上纠缠门的提议
Pub Date : 2020-11-19 DOI: 10.1103/PRXQuantum.2.020345
K. Nesterov, Q. Ficheux, V. Manucharyan, M. Vavilov
We propose a family of microwave-activated entangling gates on two capacitively coupled fluxonium qubits. A microwave pulse applied to either qubit at a frequency near the half-frequency of the $|00rangle - |11rangle$ transition induces two-photon Rabi oscillations with a negligible leakage outside the computational subspace, owing to the strong anharmonicity of fluxoniums. By adjusting the drive frequency, amplitude, and duration, we obtain the gate family that is locally equivalent to the fermionic-simulation gates such as $sqrt{rm SWAP}$-like and controlled-phase gates. The gate error can be tuned below $10^{-4}$ for a pulse duration under 100 ns without excessive circuit parameter matching. Given that the fluxonium coherence time can exceed 1 ms, our gate scheme is promising for large-scale quantum processors.
我们在两个电容耦合的量子比特上提出了一个微波激活的纠缠门。在$ b|0 rangle - $ b|1 rangle$跃迁半频率附近的频率上施加微波脉冲,由于fluxonium的强非调和性,诱导双光子Rabi振荡,在计算子空间外泄漏可以忽略不计。通过调整驱动频率、幅度和持续时间,我们获得了局部等效于费米子模拟门(如$sqrt{rm SWAP}$-like和控制相位门)的门族。在脉冲持续时间小于100 ns的情况下,栅极误差可以调谐到$10^{-4}$以下,而无需过多的电路参数匹配。考虑到fluxonium相干时间可以超过1 ms,我们的门方案在大规模量子处理器上是有前景的。
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引用次数: 13
Probability, preclusion and biological evolution in Heisenberg-picture Everett quantum mechanics 海森堡-埃弗雷特量子力学中的概率、排除和生物进化
Pub Date : 2020-11-19 DOI: 10.1142/S0217751X21501177
M. Rubin
The fact that certain "extraordinary" probabilistic phenomena--in particular, macroscopic violations of the second law of thermodynamics--have never been observed to occur can be accounted for by taking hard preclusion as a basic physical law; i.e. precluding from existence events corresponding to very small but nonzero values of quantum-mechanical weight. This approach is not consistent with the usual ontology of the Everett interpretation, in which outcomes correspond to branches of the state vector, but can be successfully implemented using a Heisenberg-picture-based ontology in which outcomes are encoded in transformations of operators. Hard preclusion can provide an explanation for biological evolution, which can in turn explain our subjective experiences of, and reactions to, "ordinary" probabilistic phenomena, and the compatibility of those experiences and reactions with what we conventionally take to be objective probabilities arising from physical laws.
某些“非同寻常”的概率现象——特别是宏观上违反热力学第二定律的现象——从未被观察到发生过,这一事实可以通过将硬排除作为基本物理定律来解释;即排除与量子力学重量非常小但非零值相对应的事件的存在。这种方法与Everett解释的通常本体不一致,在Everett解释中,结果对应于状态向量的分支,但可以使用基于海森堡图像的本体成功实现,其中结果在算子的转换中编码。硬排除可以为生物进化提供一种解释,而生物进化反过来又可以解释我们对“普通”概率现象的主观体验和反应,以及这些体验和反应与我们通常认为的由物理定律产生的客观概率的相容性。
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引用次数: 1
A fast and large bandwidth superconducting variable coupler 一种快速大带宽超导可变耦合器
Pub Date : 2020-11-18 DOI: 10.1063/5.0028840
H.-S. Chang, K. Satzinger, Y. Zhong, A. Bienfait, M. Chou, C. Conner, É. Dumur, J. Grebel, G. Peairs, R. Povey, A. Cleland
Variable microwave-frequency couplers are highly useful components in classical communication systems, and likely will play an important role in quantum communication applications. Conventional semiconductor-based microwave couplers have been used with superconducting quantum circuits, enabling for example the in situ measurements of multiple devices via a common readout chain. However, the semiconducting elements are lossy, and furthermore dissipate energy when switched, making them unsuitable for cryogenic applications requiring rapid, repeated switching. Superconducting Josephson junction-based couplers can be designed for dissipation-free operation with fast switching and are easily integrated with superconducting quantum circuits. These enable on-chip, quantum-coherent routing of microwave photons, providing an appealing alternative to semiconductor switches. Here, we present and characterize a chip-based broadband microwave variable coupler, tunable over 4-8 GHz with over 1.5 GHz instantaneous bandwidth, based on the superconducting quantum interference device (SQUID) with two parallel Josephson junctions. The coupler is dissipation-free, features large on-off ratios in excess of 40 dB, and the coupling can be changed in about 10 ns. The simple design presented here can be readily integrated with superconducting qubit circuits, and can be easily generalized to realize a four- or more port device.
可变微波频率耦合器是传统通信系统中非常有用的器件,在量子通信中也将发挥重要作用。传统的基于半导体的微波耦合器已经被用于超导量子电路,例如,通过一个共同的读出链,可以对多个设备进行原位测量。然而,半导体元件是有损耗的,而且在开关时耗散能量,使它们不适合需要快速,重复开关的低温应用。基于超导约瑟夫森结的耦合器可以设计成具有快速开关的无耗散操作,并且很容易与超导量子电路集成。这使得芯片上的微波光子的量子相干路由成为可能,为半导体开关提供了一个有吸引力的替代方案。在这里,我们提出并表征了一种基于芯片的宽带微波可变耦合器,可调谐在4-8 GHz,瞬时带宽超过1.5 GHz,基于超导量子干涉器件(SQUID),具有两个并行约瑟夫森结。该耦合器无耗散,具有超过40 dB的大通断比,并且耦合可以在约10 ns内改变。这里提出的简单设计可以很容易地与超导量子比特电路集成,并且可以很容易地推广到实现四个或更多端口的设备。
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引用次数: 5
Genuine multipartite entanglement in time 真正的多方纠缠在时间里
Pub Date : 2020-11-18 DOI: 10.21468/SciPostPhys.10.6.141
Simon Milz, C. Spee, Zhen-Peng xu, F. A. Pollock, K. Modi, O. Guhne
While spatial quantum correlations have been studied in great detail, much less is known about the genuine quantum correlations that can be exhibited by temporal processes. Employing the quantum comb formalism, processes in time can be mapped onto quantum states, with the crucial difference that temporal correlations have to satisfy causal ordering, while their spatial counterpart is not constrained in the same way. Here, we exploit this equivalence and use the tools of multipartite entanglement theory to provide a comprehensive picture of the structure of correlations that (causally ordered) temporal quantum processes can display. First, focusing on the case of a process that is probed at two points in time -- which can equivalently be described by a tripartite quantum state -- we provide necessary as well as sufficient conditions for the presence of bipartite entanglement in different splittings. Next, we connect these scenarios to the previously studied concepts of quantum memory, entanglement breaking superchannels, and quantum steering, thus providing both a physical interpretation for entanglement in temporal quantum processes, and a determination of the resources required for its creation. Additionally, we construct explicit examples of W-type and GHZ-type genuinely multipartite entangled two-time processes and prove that genuine multipartite entanglement in temporal processes can be an emergent phenomenon. Finally, we show that genuinely entangled processes across multiple times exist for any number of probing times.
虽然空间量子相关性已经得到了非常详细的研究,但人们对时间过程所表现出的真正量子相关性知之甚少。利用量子梳形式,时间过程可以映射到量子态,关键的区别是时间相关性必须满足因果顺序,而它们的空间对应物则不以同样的方式受到约束。在这里,我们利用这种等效性,并使用多部纠缠理论的工具来提供(因果有序)时间量子过程可以显示的相关性结构的全面图像。首先,关注在两个时间点探测的过程的情况——可以等效地用三方量子态来描述——我们提供了在不同分裂中存在二部纠缠的必要和充分条件。接下来,我们将这些场景与先前研究的量子记忆、纠缠打破超级通道和量子转向的概念联系起来,从而为时间量子过程中的纠缠提供物理解释,并确定其创建所需的资源。此外,我们构造了w型和ghz型真正多部纠缠双时间过程的明确例子,并证明了时间过程中的真正多部纠缠可以是一种涌现现象。最后,我们证明了在任何探测次数下,都存在跨多次的真正纠缠进程。
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引用次数: 18
Tackling Loopholes in Experimental Tests of Bell's Inequality 解决贝尔不等式实验测试中的漏洞
Pub Date : 2020-11-18 DOI: 10.1093/oxfordhb/9780198844495.013.14
D. Kaiser
Bell's inequality sets a strict threshold for how strongly correlated the outcomes of measurements on two or more particles can be, if the outcomes of each measurement are independent of actions undertaken at arbitrarily distant locations. Quantum mechanics, on the other hand, predicts that measurements on particles in entangled states can be more strongly correlated than Bell's inequality would allow. Whereas experimental tests conducted over the past half-century have consistently measured violations of Bell's inequality---consistent with the predictions of quantum mechanics---the experiments have been subject to one or more "loopholes," by means of which certain alternatives to quantum theory could remain consistent with the experimental results. This chapter reviews three of the most significant loopholes, often dubbed the "locality," "fair-sampling," and "freedom-of-choice" loopholes, and describes how recent experiments have addressed them.
如果每次测量的结果都独立于在任意遥远位置进行的动作,那么贝尔不等式为两个或两个以上粒子的测量结果之间的相关性设置了一个严格的阈值。另一方面,量子力学预测,对处于纠缠态的粒子的测量可能比贝尔不等式所允许的关联更强。尽管在过去的半个世纪里进行的实验测试不断地测量出违反贝尔不等式的情况——与量子力学的预测一致——但这些实验一直受到一个或多个“漏洞”的影响,通过这些漏洞,量子理论的某些替代方案可以与实验结果保持一致。本章回顾了三个最重要的漏洞,通常被称为“局部性”、“公平抽样”和“自由选择”漏洞,并描述了最近的实验是如何解决它们的。
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引用次数: 2
Ground-state cooling of mechanical resonators by hot thermal light 热热光对机械谐振器基态冷却的影响
Pub Date : 2020-11-18 DOI: 10.21203/rs.3.rs-111621/v1
M. T. Naseem, Ozgur Esat Mustecapliouglu
We propose a scheme to cool down a mechanical resonator to its quantum ground-state, which is interactingwith a cavity mode via the optomechanical coupling. As opposed to standard laser cooling schemes wherecoherence renders the state of the resonator to its ground-state, here we use incoherent thermal light to achievethe same aim. We show that simultaneous cooling of two degenerate or near-degenerate mechanical resonators ispossible in our scheme, which is otherwise a challenging goal to achieve in optomechanics. The generalizationof this method to the simultaneous cooling of multiple resonators is straightforward. The underlying physicalmechanism of cooling is explained by revealing a direct connection between the laser sideband cooling and“cooling by heating” in a standard optomechanical setting.
我们提出了一种将机械谐振器冷却到量子基态的方案,该方案通过光-力耦合与腔模式相互作用。与标准激光冷却方案相反,相干使谐振器的状态变为基态,这里我们使用非相干热光来达到相同的目的。我们表明,在我们的方案中,两个简并或近简并机械谐振器的同时冷却是可能的,这在光力学中是一个具有挑战性的目标。将这种方法推广到多个谐振器的同时冷却是直截了当的。通过揭示激光边带冷却与标准光机械设置中的“加热冷却”之间的直接联系,解释了冷却的潜在物理机制。
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引用次数: 0
期刊
arXiv: Quantum Physics
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