发表机构
Instituto de Física, Benemérita Universidad Autónoma de Puebla（普埃布拉自治大学物理研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究提出利用囚禁离子的非线性Jaynes-Cummings相互作用，从大占据数初始相干振动态生成高保真度近似立方相位态，为连续变量通用量子计算提供非高斯元素方案。
AI 中文摘要
仅用高斯操作无法实现连续变量的通用量子计算，需添加正交算符中至少三阶的非高斯元素，例如立方相位态。本工作提出一种在囚禁离子振动模式中生成量子态的方法，该态呈现出与立方相位态兼容的特性，如Wigner函数中独特的振荡模式。该态源于囚禁离子模型固有的非线性Jaynes-Cummings相互作用，且假设初始振动态为占据数较大的相干态。因此，演化后的振动态以高保真度近似立方相位态，我们使用正交算符非线性组合的方差对其进行表征。最后，我们给出其立方性的解析表达式，表明近似振动立方相位态的高性能。
英文摘要
Universal quantum computation with continuous variables cannot be attained solely with a set of Gaussian operations, it requires the addition of a non-Gaussian element, at least of third order in the quadrature operators, such as the cubic phase state. In this work, we present a method to generate a quantum state in the vibrational mode of a trapped ion that exhibits characteristics compatible with the cubic phase state, such as the distinctive oscillating pattern in its Wigner function. This state emerges from the nonlinear Jaynes-Cummings interaction native to the trapped-ion model, and under the assumption of an initial coherent vibrational state with a large occupation number. Consequently, the evolved vibrational state approximates the cubic phase state with high fidelity, and we use the variance of a nonlinear combination of the quadratures to characterize it. Finally, we provide an analytical expression for its cubicity that shows the high performance of the approximate vibrational cubic phase state.
Comments8 pages, 7 figures
