W. Q. Zhao
The newly developed iterative method based on Green function defined by quadratures along a single trajectory is combined with the variational method to solve the ground state quantum wave function for central potentials. As an example, the method is applied to discuss the ground state solution of Yukawa potential, using Hulthen solution as the trial function.
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We derive a new variational principle for the quantum Fisher information leading to a simple iterative alternating algorithm, the convergence of which is proved. The case of a fixed measurement, i.e. the classical Fisher information, is also discussed.
HIVQE: Handover Iterative Variational Quantum Eigensolver for Efficient Quantum Chemistry Calculations
本文提出混合量子-经典算法HiVQE，利用NISQ硬件探索电子构型并由经典计算机无噪声计算波函数，以高效、准确地处理多参考量子化学问题。
The iterative quantum phase estimation algorithm, applied to calculating the ground state energies of quantum chemical systems, is theoretically appealing in its wide scope of being able to handle both weakly and strongly correlated regimes. However, the goodness of the initial state that is sent as an input to the algorithm could strongly decide the quality of the results obtained. In this work, we generate the initial state by using the classical-quantum hybrid variational quantum eigensolver algorithm with unitary coupled cluster ansatz. We apply the procedure to obtain the ground state ene…
Iterative Partition Search Variational Quantum Algorithm for Solving Shortest Vector Problem
本文提出IPSA算法，通过整合动态迭代和1尾搜索策略，有效解决最短向量问题中的晶格基底更新与搜索空间限制问题，实验显示其在成功率和电路深度方面均优于PSA和IQOAP。
An iterative Bayesian variational quantum eigensolver with the von Mises-Fisher distribution
该研究提出一种基于冯·米塞斯-费希尔分布的迭代贝叶斯变分量子本征求解器，将单成功结果方案推广到多成功结果情况，证明其收敛性并在多种量子系统上验证了算法的收敛性。
Variational quantum iterative power algorithms for global optimization
本文提出量子迭代幂算法（QIPA）这一变分量子算法族，在$H_2$分子解离、transmon量子比特基态搜索和双素数分解等全局优化实验中优于同类算法，且凭借浅层电路和混合架构易于在现有量子硬件上大规模应用。
Energy Landscape Plummeting in Variational Quantum Eigensolver: Subspace Optimization, Non-iterative Corrections and Generator-informed Initialization for Improved Quantum Efficiency
本文提出了一种通过子空间优化和辅助修正提升变分量子本征求解器量子效率的方法，结合生成器驱动的初始化策略，显著提高极小值估计精度。
Variational Quantum Subspace Construction via Symmetry-Preserving Cost Functions
本文提出一种基于对称保持代价函数的变分量子子空间构造方法，可迭代生成三对角表示，平衡电路深度与测量开销，并在H4链和环上验证了基态能量与电荷间隙的计算。
A Non-Variational Quantum Approach to the Job Shop Scheduling Problem
本文提出了一种非变分量子算法Iterative-QAOA，用于解决作业车间调度问题，通过非变分浅层电路和迭代预热启动过程，在量子硬件上实现了对大规模问题的有效求解。
Iterative Projection-Based Embedding Scheme Combined with Variational Quantum Eigensolver
该研究提出结合VQE的迭代投影嵌入框架，通过子系统VQE处理与环境平均场细化的交替迭代实现自洽，在测试系统及CH₂NH复合系统中均收敛良好，能量与势能面表现优于传统一次性方法，适配量子-经典混合计算。
A blueprint for a Digital-Analog Variational Quantum Eigensolver using Rydberg atom arrays
提出一种基于里德堡原子阵列的数字-模拟 VQE 蓝图，通过学习原子寄存器位置并结合去随机化能量估算的迭代脉冲优化，实现 H2、LiH 和 BeH2 基态能量的高精度估算。
Variational quantum simulation: a case study for understanding warm starts
针对变分量子算法的贫瘠高原问题，本文以学习量子实时演化的迭代变分方法为例，研究热启动的潜力与局限，证明了初始化附近存在梯度与凸性保证，并探讨了极小值跳出可训练区域的挑战。
Calculation of the moscovium ground-state energy by quantum algorithms
本文利用迭代相位估计和变分量子本征求解器在量子计算机上计算镆原子基态能量，并评估了不同拟设、优化器及量子门数量的可扩展性。
We have applied the variational $R$-matrix method to calculate the reflection and tunneling probabilities of particles tunneling through one-dimensional potential barriers for five different types of potential profiles -- truncated linear step, truncated exponential step, truncated parabolic, bell-shaped, and Eckart. Our variational results for the transmission and reflection coefficients are compared with exact analytical results and results obtained from other numerical methods. We find that our results are in good agreement with them. We conclude that the variational $R$-matrix method is a …
We present a scheme to perform an iterative variational optimization with infinite projected entangled-pair states (iPEPS), a tensor network ansatz for a two-dimensional wave function in the thermodynamic limit, to compute the ground state of a local Hamiltonian. The method is based on a systematic summation of Hamiltonian contributions using the corner transfer-matrix method. Benchmark results for challenging problems are presented, including the 2D Heisenberg model, the Shastry-Sutherland model, and the t-J model, which show that the variational scheme yields considerably more accurate resul…
We propose a variational perturbation method based on the observation that eigenvalues of each parity sector of both the anharmonic and double-well oscillators are approximately equi-distanced. The generalized deformed algebra satisfied by the invariant operators of the systems provides well defined Hilbert spaces to both of the oscillators. There appears a natural expansion parameter defined by the ratios of three distance scales of the trial wavefunctions. The energies of the ground state and the first order excited state, in the $0^{th}$ order variational approximation, are obtained with er…
An LLM System for Autonomous Variational Quantum Circuit Design
提出一个基于大语言模型的自主代理框架，通过迭代设计量子电路，在量子特征映射和变分量子本征求解器任务中取得优于或媲美现有方法的性能。
Expectation values of physical quantities may accurately be obtained by the evaluation of integrals within Many-Body Quantum mechanics, and these multi-dimensional integrals may be estimated using Monte Carlo methods. In a previous publication it has been shown that for the simplest, most commonly applied strategy in continuum Quantum Monte Carlo, the random error in the resulting estimates is not well controlled. At best the Central Limit theorem is valid in its weakest form, and at worst it is invalid and replaced by an alternative Generalised Central Limit theorem and non-Normal random erro…
Variational quantum algorithms rely on gradient based optimization to iteratively minimize a cost function evaluated by measuring output(s) of a quantum processor. A barren plateau is the phenomenon of exponentially vanishing gradients in sufficiently expressive parametrized quantum circuits. It has been established that the onset of a barren plateau regime depends on the cost function, although the particular behavior has been demonstrated only for certain classes of cost functions. Here we derive a lower bound on the variance of the gradient, which depends mainly on the width of the circuit …
Introducing the Kernel Descent Optimizer for Variational Quantum Algorithms
本文提出核下降优化器，通过再生核希尔伯特空间技术提升变分量子算法的优化性能。
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