Path Integration for the Plane Pendulum with Finite Amplitude

Solution of the Path Integral for the Quantum Pendulum

Path integration for the potential V=αcosθ is performed. Satisfaction of the corresponding Schrödinger equation by the resulting Feynman kernel is demonstrated. Expressions for the related Green function are presented.

耦合双摆系统中的参数共振与非线性动力学

Parametric resonance and nonlinear dynamics in a coupled double-pendulum system

本文在拉格朗日力学框架下研究碰撞耦合双摆系统，揭示大角位移下无法由Mathieu方程描述的参数共振现象，并提供一个经典-量子对应的实验与理论范式。

Gravitational wave matched filtering by quantum Monte Carlo integration and quantum amplitude amplification

The speedup of heavy numerical tasks by quantum computing is now actively investigated in various fields including data analysis in physics and astronomy. In this paper, we propose a new quantum algorithm for matched filtering in gravitational wave (GW) data analysis based on the previous work by Gao et al., Phys. Rev. Research 4, 023006 (2022) [arXiv:2109.01535]. Our approach uses the quantum algorithm for Monte Carlo integration for the signal-to-noise ratio (SNR) calculation instead of the fast Fourier transform used in Gao et al. and searches signal templates with high SNR by quantum ampli…

使用基于积分的指数振幅加载进行自动赎回期权定价

Autocallable Options Pricing with Integration-Based Exponential Amplitude Loading

提出面向自动赎回期权定价的完整量子算法，通过改进的基于积分的指数振幅加载技术降低电路深度，并经HPC模拟验证，收益组件T-depth较此前方法约降低50倍。

Replacing the Breit-Wigner amplitude by the complex delta function to describe resonances

Whenever the Breit-Wigner amplitude appears in a calculation,there are many instances (e.g., Fermi's two-level system and the Weisskopf-Wigner approximation) where energy integrations are extended from the scattering spectrum of the Hamiltonian to the whole real line. Such extensions are performed in order to obtain a desirable, causal result. In this paper, we recall several of those instances and show that substituting the Breit-Wigner amplitude by the complex delta function allows us to recover such desirable results without having to extend energy integrations outside of the scattering spe…

Quantum Fourier Iterative Amplitude Estimation（量子傅里叶迭代振幅估计）

Quantum Fourier Iterative Amplitude Estimation

本文提出QFIAE端到端量子积分算法，利用QNN将目标函数展开为傅里叶级数，并用IQAE积分各三角分量，在保持二次加速、降低计算量的同时实现高精度且可在真实硬件运行。