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Shallow-depth variational quantum hypothesis testing 浅层变分量子假设检验
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-09-18 DOI: 10.1103/physreva.110.032424
Mahadevan Subramanian, Sai Vinjanampathy
The task of discriminating between two known quantum channels is a well-known binary-hypothesis-testing task. We present a variational quantum algorithm with a parameterized state preparation and two-outcome positive operator-valued measure which defines the acceptance criteria for the hypothesis test. Both the state preparation and measurement are simultaneously optimized using the success probability of single-shot discrimination as an objective function which can be calculated using localized measurements. Under constrained signal-mode photon-number quantum illumination we match the performance of known optimal two-mode probes by simulating a bosonic circuit. Our results show that variational algorithms can prepare optimal states for binary hypothesis testing with resource constraints.
区分两个已知量子通道是一项著名的二元假设检验任务。我们提出了一种变分量子算法,它具有参数化的状态准备和双结果正算子值测量,定义了假设检验的接受标准。使用单次判别的成功概率作为目标函数,同时对状态准备和测量进行优化。在受限的信号模式光子数量子照明下,我们通过模拟玻色电路,匹配了已知最优双模探针的性能。我们的研究结果表明,变分算法可以为具有资源约束的二元假设检验准备最佳状态。
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引用次数: 0
Reliable quantum memories with unreliable components 使用不可靠组件的可靠量子存储器
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-09-18 DOI: 10.1103/physreva.110.032423
Anuj K. Nayak, Eric Chitambar, Lav R. Varshney
Quantum memory systems are vital in quantum information processing for dependable storage and retrieval of quantum states. Inspired by classical reliability theories that synthesize reliable computing systems from unreliable components, we formalize the problem of reliable storage of quantum information using noisy components. We introduce the notion of stable quantum memories and define the storage rate as the ratio of the number of logical qubits to the total number of physical qubits as well as the circuit complexity of the decoder, which includes both quantum gates and measurements. We demonstrate that a strictly positive storage rate can be achieved by constructing a quantum memory system with quantum expander codes. Moreover, by reducing the reliable storage problem to reliable quantum communication, we provide upper bounds on the achievable storage capacity. In the case of physical qubits corrupted by noise satisfying hypercontractivity conditions, we provide a tighter upper bound on storage capacity using an entropy dissipation argument. Furthermore, observing that the time complexity of the decoder scales nontrivially with the number of physical qubits, achieving asymptotic rates may not be possible due to the induced dependence of the noise on the number of physical qubits. In this constrained nonasymptotic setting, we derive upper bounds on storage capacity using finite blocklength communication bounds. Finally, we numerically analyze the gap between upper and lower bounds in both asymptotic and nonasymptotic cases, and provide suggestions to tighten the gap.
量子存储系统对于量子信息处理中量子态的可靠存储和检索至关重要。受从不可靠组件合成可靠计算系统的经典可靠性理论的启发,我们将使用噪声组件可靠存储量子信息的问题形式化。我们引入了稳定量子存储器的概念,并将存储率定义为逻辑量子比特数与物理量子比特总数之比,以及解码器(包括量子门和测量)的电路复杂度。我们证明,利用量子扩展器代码构建量子存储器系统可以实现严格的正存储率。此外,通过将可靠存储问题简化为可靠量子通信,我们还提供了可实现存储容量的上限。在物理量子比特被满足超契约条件的噪声破坏的情况下,我们利用熵耗散论证提供了更严格的存储容量上限。此外,由于解码器的时间复杂度与物理量子比特的数量呈非等比例关系,因此由于噪声对物理量子比特数量的诱导依赖性,可能无法实现渐近速率。在这种受限的非渐近设置中,我们利用有限块长通信边界推导出了存储容量的上限。最后,我们对渐近和非渐近情况下上界和下界之间的差距进行了数值分析,并提出了缩小差距的建议。
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引用次数: 0
Swallow-tail dispersions of moving solitons in a two-dimensional fermionic superfluid 二维费米子超流体中运动孤子的燕尾色散
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-09-18 DOI: 10.1103/physreva.110.033320
Jan Major, Joachim Brand
Solitonlike localized wave solutions in a two-dimensional Fermi superfluid are studied by solving the Bogoliubov–de Gennes equations in the BCS regime of weak pairing interactions. The dispersion relations of these solitons are found to exhibit a peculiar swallow-tail shape, with cusps and multiple branches. The effective mass of the solitons is found to diverge and change sign at the cusp. This behavior is in contrast to the smooth dispersion relations and negative effective masses of solitons in the three-dimensional Fermi superfluid. The swallow-tail dispersion relations are shown to be a consequence of counterflow of the superfluid and sign-changing contributions to the superfluid current from different transverse momenta in the Bogoliubov–de Gennes formalism. The results are relevant for the understanding of solitonic excitations in two-dimensional Fermi superfluids, such as ultracold atomic gases and high-temperature superconductors.
通过求解弱配对相互作用 BCS 体系下的波哥留布夫-德-吉尼斯方程,研究了二维费米超流体中的孤子状局部波解。研究发现,这些孤子的色散关系呈现出奇特的燕尾形状,具有尖角和多个分支。孤子的有效质量在尖顶处发散并改变符号。这种行为与三维费米超流体中光滑的弥散关系和负有效质量的孤子形成了鲜明对比。燕尾式色散关系被证明是超流体逆流的结果,也是在波哥留布夫-德-吉尼斯(Bogoliubov-de Gennes)形式主义中不同横向力矩对超流体电流的符号变化贡献的结果。这些结果对于理解二维费米超流体(如超冷原子气体和高温超导体)中的孤子激发具有重要意义。
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引用次数: 0
Effects of the chirp rate on single-shot coherent Rayleigh-Brillouin scattering 啁啾率对单次相干瑞利-布里渊散射的影响
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-09-18 DOI: 10.1103/physreva.110.033519
S. Suzuki, A. Gerakis, K. Hara
Single-shot coherent Rayleigh-Brillouin scattering (CRBS) is modeled using direct simulation Monte Carlo (DSMC). In CRBS, an optical lattice generated by the interference of two pump lasers traps the neutral particles via the dipole force. The gradient of refractive index due to the trapped particles of the gaseous media leads to coherent scattering of a probe beam, resulting in the CRBS signal. Additionally, using a chirped laser beam, CRBS signals can be obtained in a single laser shot, shortening the measurement time of the gas flow (on the order of 100 ns). The DSMC results of single-shot CRBS assuming Maxwellian velocity distribution functions (VDFs) show good agreement with experimental data, including argon, carbon dioxide, and xenon, for different gas pressures. One of the key observations obtained from the present simulations is that the CRBS signals become asymmetric when using a fast chirp rate due to finite time for collisionless trapping and collisional thermalization.
单次相干瑞利-布里渊散射(CRBS)采用直接模拟蒙特卡洛(DSMC)技术建模。在 CRBS 中,两个泵浦激光器干涉产生的光晶格通过偶极力捕获中性粒子。由于气态介质中的被捕获粒子产生折射率梯度,导致探针光束发生相干散射,从而产生 CRBS 信号。此外,利用啁啾激光束,CRBS 信号可在一次激光发射中获得,从而缩短了气体流的测量时间(约 100 毫微秒)。假定麦克斯韦速度分布函数(VDF)的单发 CRBS DSMC 结果表明,与不同气体压力下的实验数据(包括氩气、二氧化碳和氙气)非常吻合。本模拟的一个重要发现是,由于无碰撞捕获和碰撞热化的时间有限,当使用快速啁啾速率时,CRBS 信号会变得不对称。
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引用次数: 0
Vacuum-polarization Wichmann-Kroll correction in the finite-basis-set approach 有限基础集方法中的真空极化 Wichmann-Kroll 校正
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-09-18 DOI: 10.1103/physreva.110.032815
V. K. Ivanov, S. S. Baturin, D. A. Glazov, A. V. Volotka
The finite-basis-set method is commonly used to calculate atomic spectra, including quantum electrodynamics contributions such as bound-electron self-energy. Still, it remains problematic and underexplored for vacuum-polarization calculations. We fill this gap by trying this approach in its application to the calculation of the vacuum-polarization charge density and the Wichmann-Kroll correction to the electron binding energy in a hydrogen-like ion. We study the convergence of the method with different types and sizes of basis sets. We cross-check our results for the Wichmann-Kroll correction by direct integration of the Green's function. As a relevant example, we consider several heavy hydrogen-like ions and evaluate the vacuum polarization correction for S and P electron orbitals.
有限基础集方法常用于计算原子光谱,包括量子电动力学贡献,如束缚电子自能。然而,这种方法在真空极化计算中仍然存在问题,而且探索不足。我们尝试将这种方法应用于计算真空极化电荷密度和类氢离子中电子结合能的 Wichmann-Kroll 校正,从而填补了这一空白。我们研究了该方法在使用不同类型和大小的基集时的收敛性。我们通过对格林函数的直接积分来交叉检验 Wichmann-Kroll 校正的结果。作为一个相关的例子,我们考虑了几种重的类氢离子,并评估了 S 和 P 电子轨道的真空极化修正。
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引用次数: 0
Direct measurement of isotope shifts in the barium 6s2 S01–5d6p D1o3 transition 直接测量钡 6s2 S01-5d6p D1o3 转变中的同位素偏移
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-09-17 DOI: 10.1103/physreva.110.032812
Jungwoo Choi, Eunhwi Lee, Dahyun Yum, Kyungwon An, Junki Kim
We report the direct measurement of isotope shifts of the barium 6s2 S015d6pD1o3 413-nm electric quadrupole transition, which is utilized for efficient barium ion trapping via photoionization using a single coherent light source. The measured isotope shifts relative to Ba138 are 392.9±0.9MHz, 178.1±0.8MHz, 401.4±1.2MHz, and 124.3±1.3MHz for isotopes with atomic numbers 137, 136, 135, and 134, respectively. We verify the measured isotopes with King plot analysis and compare the result with the formerly known shifts inferred from previous studies on neighboring transitions. The results can be used for efficient isotope selective loading of low-abundant barium ions, while careful suppression of line broadening is required for successful isotopic selectivity.
我们报告了对钡 6s2 S01-5d6pD1o3 413-nm 电四极跃迁同位素位移的直接测量结果,利用单个相干光源通过光离子化实现了高效的钡离子捕获。测得原子序数为 137、136、135 和 134 的同位素相对于 Ba138 的位移分别为 392.9±0.9MHz、178.1±0.8MHz、401.4±1.2MHz 和 124.3±1.3MHz。我们用 King plot 分析法验证了测得的同位素,并将结果与以前对邻近转变的研究中推断出的已知转变进行了比较。这些结果可用于对低富集钡离子进行有效的同位素选择性装载,而要想成功地进行同位素选择性装载,就必须小心抑制线的展宽。
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引用次数: 0
Exceptional points in perturbed dielectric spheres: A resonant-state expansion study 扰动介质球中的异常点:共振态扩展研究
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-09-17 DOI: 10.1103/physreva.110.033518
K. S. Netherwood, H. K. Riley, E. A. Muljarov
Exceptional points (EPs) in open optical systems are rigorously studied using the resonant-state expansion (RSE). A spherical resonator, specifically a homogeneous dielectric sphere in a vacuum, perturbed by two pointlike defects which break the spherical symmetry and bring the optical modes to EPs, is used as a worked example. The RSE is a nonperturbative approach encoding the information about an open optical system in matrix form in a rigorous way, and thus offering a suitable tool for studying its EPs. These are simultaneous degeneracies of the eigenvalues and corresponding eigenfunctions of the system, which are rigorously described by the RSE and illustrated for perturbed whispering-gallery modes (WGMs). An exceptional arc, which is a line of adjacent EPs, is obtained analytically for perturbed dipolar WGMs. Perturbation of high-quality WGMs with large angular momentum and their EPs are found by reducing the RSE equation to a two-state problem by means of an orthogonal transformation of a large RSE matrix. WGM pairs have opposite chirality in spherically symmetric systems and equal chirality at EPs. This chirality at EPs can be observed in circular dichroism measurements, as it manifested itself in a squared-Lorentzian part of the optical spectra, which we demonstrate here analytically and numerically in the Purcell enhancement factor for the perturbed dipolar WGMs.
利用共振态扩展(RSE)对开放光学系统中的异常点(EPs)进行了严格研究。我们以一个球形谐振器(具体来说是真空中的均质介质球)为工作实例,该谐振器受到两个点状缺陷的扰动,这两个点状缺陷打破了球形对称性,使光学模式出现了异常点。RSE 是一种非扰动方法,以矩阵形式严格编码开放光学系统的信息,从而为研究其 EPs 提供了合适的工具。这些是系统特征值和相应特征函数的同步退化,RSE 对其进行了严格描述,并对扰动耳语画廊模式(WGM)进行了说明。对于扰动双极性 WGM,可以通过分析得到一条特殊弧线,即相邻 EP 的连线。通过对大型 RSE 矩阵进行正交变换,将 RSE 方程简化为双态问题,从而找到了具有大角动量的高质量 WGM 的扰动及其 EP。在球对称系统中,WGM 对具有相反的手性,而在 EP 处则具有相等的手性。这种在 EP 处的手性可以在圆二色性测量中观察到,因为它表现在光学光谱的方形-洛伦兹部分,我们在此通过分析和数值方法证明了扰动双极 WGM 的珀塞尔增强因子。
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引用次数: 0
Quantum violations of joint reality 量子违反联合现实
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-09-17 DOI: 10.1103/physreva.110.032214
R. A. Caetano, R. M. Angelo
Based on (i) the physical principle of local causality and (ii) a certain notion of elements of reality, Einstein, Podolsky, and Rosen put forward an argument showing that physical instances may exist in which two noncommuting observables can be joint elements of the physical reality. Here, we introduce a new criterion of joint reality. We demonstrate that according to this criterion, quantum mechanics generally prevents noncommuting observables from having joint elements of reality. In addition, we introduce a measure to quantify the extent to which the criterion is violated and explore the implications of such a measure in connection with incompatibility and correlations. Our findings suggest new manners of interpreting quantum phenomena.
爱因斯坦、波多尔斯基和罗森根据(i)局部因果关系的物理原理和(ii)现实元素的某种概念,提出了一个论点,表明可能存在这样的物理实例,即两个不交换的观测变量可以是物理现实的共同元素。在这里,我们引入了一个新的联合现实标准。我们证明,根据这一标准,量子力学一般会阻止非交换观测变量成为现实的共同元素。此外,我们还引入了一种量度来量化违反该标准的程度,并探讨了这种量度在不相容和相关性方面的意义。我们的发现提出了解释量子现象的新方法。
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引用次数: 0
Cooperative atomic emission from a line of atoms interacting with a resonant plane surface 与共振平面表面相互作用的原子线的协同原子发射
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-09-17 DOI: 10.1103/physreva.110.032813
M. O. Araújo, J. C. de Aquino Carvalho, Ph. W. Courteille, A. Laliotis
Cooperative effects such as super- and subradiance can be observed in the fluorescence emitted by a system of N atoms in vacuum after interaction with a laser beam. In the vicinity of a dielectric or metallic surface, Casimir-Polder effects can modify collective atomic frequency shifts and decay rates. In this work, we study cooperative fluorescent emission next to resonant surfaces using the coupled-dipole model. We show that cooperative effects, expected in free space, are absent when the atoms are close to a surface whose polariton resonances coincide with the dominant atomic dipole coupling. In this case, cooperative effects are overshadowed by the very fast decay of the atomic fluorescence into surface modes. We illustrate our formalism and our results by considering a line of cesium 6D3/2 atoms in front of a sapphire surface. Finally, we propose the study of cesium 6P3/2 atoms in front of a resonant metasurface as the most promising scenario for experimentally demonstrating the results of our study.
由 N 个原子组成的系统在真空中与激光束相互作用后发出的荧光中可以观察到超辐射和亚辐射等合作效应。在电介质或金属表面附近,卡西米尔-波德尔效应会改变原子的集体频移和衰减率。在这项工作中,我们利用耦合偶极子模型研究了共振表面附近的协同荧光发射。我们的研究表明,当原子靠近极化子共振与主要原子偶极子耦合重合的表面时,自由空间中预期的合作效应并不存在。在这种情况下,原子荧光与表面模式的快速衰减掩盖了合作效应。我们通过考虑蓝宝石表面前的一条铯 6D3/2 原子线来说明我们的形式主义和结果。最后,我们建议对共振元表面前的铯 6P3/2 原子进行研究,这是实验证明我们研究结果的最有希望的方案。
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引用次数: 0
Improving the performance of digitized counterdiabatic quantum optimization via algorithm-oriented qubit mapping 通过面向算法的量子比特映射提高数字化逆绝热量子优化的性能
IF 2.9 2区 物理与天体物理 Q2 Physics and Astronomy Pub Date : 2024-09-17 DOI: 10.1103/physreva.110.032421
Yanjun Ji, Kathrin F. Koenig, Ilia Polian
This paper presents strategies to improve the performance of digitized counterdiabatic quantum optimization algorithms by cooptimizing gate sequences, algorithm parameters, and qubit mapping. Demonstrations on real hardware validate the effectiveness of these strategies, leveraging both algorithmic and hardware advantages. Specifically, our approach achieves an average increase in approximation ratio of 4.49× without error mitigation and 84.8% with error mitigation compared to Qiskit and Tket on IBM quantum processors. These findings provide valuable insights into the codesign of algorithm implementation, tailored to optimize qubit mapping and algorithm parameters, with broader implications for enhancing algorithm performance on near-term quantum devices.
本文介绍了通过协同优化门序列、算法参数和量子位映射来提高数字化逆绝热量子优化算法性能的策略。利用算法和硬件优势,在实际硬件上的演示验证了这些策略的有效性。具体地说,与 IBM 量子处理器上的 Qiskit 和 Tket 相比,我们的方法在没有错误缓解的情况下,近似率平均提高了 4.49 倍;在有错误缓解的情况下,近似率平均提高了 84.8%。这些发现为算法实现的代码设计提供了宝贵的见解,为优化量子比特映射和算法参数量身定制,对提高近期量子设备上的算法性能具有更广泛的意义。
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引用次数: 0
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