标题： 振荡器任意可观测量的直接估计 显示英文标题

标题： Direct estimation of arbitrary observables of an oscillator

摘要： 量子谐振子是量子信息处理的基本构建模块，特别是在玻色子电路量子电动力学（cQED）平台上。 传统的方法提取振子特性依赖于预定义的解析门序列来访问有限的一组可观测量或资源密集型的层析技术。 在这里，我们引入了任意可观测量估计的优化程序（OREO），这是一种数值优化的协议，能够将任意振子可观测量的期望值映射到transmon状态，以实现高效的单次测量。 我们在一个玻色子cQED系统中展示了OREO，作为一种有效测量相空间分量及其高阶矩的方法，直接获得真实的非高斯性等级，并有效地实现与振子初始条件无关的状态制备。 这些结果使OREO成为从量子谐振子中提取信息的强大而灵活的工具，为连续变量量子信息处理中的测量、控制和状态制备开辟了新的可能性。 显示英文摘要

摘要： Quantum harmonic oscillators serve as fundamental building blocks for quantum information processing, particularly within the bosonic circuit quantum electrodynamics (cQED) platform. Conventional methods for extracting oscillator properties rely on predefined analytical gate sequences to access a restricted set of observables or resource-intensive tomography processes. Here, we introduce the Optimized Routine for Estimation of any Observable (OREO), a numerically optimized protocol that maps the expectation value of arbitrary oscillator observables onto a transmon state for efficient single-shot measurement. We demonstrate OREO in a bosonic cQED system as a means to efficiently measure phase-space quadratures and their higher moments, directly obtain faithful non-Gaussianity ranks, and effectively achieve state preparation independent of initial conditions in the oscillator. These results position OREO as a powerful and flexible tool for extracting information from quantum harmonic oscillators, unlocking new possibilities for measurement, control, and state preparation in continuous-variable quantum information processing.