用囚禁离子对三角连续变量门原语进行基准测试
Trigonometric Continuous-Variable Quantum Gates: Realization with Trapped Ions and Nonperturbative Wigner Negativity
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中文总结 AI 辅助
研究用囚禁离子对三角连续变量门原语进行基准测试，通过在QSCOUT平台实验演示并测试单双量子模式余弦门，利用集体运动模式实现有限步电路，专注门级表征，测量相关概率并与模拟比较，为相关模拟和算法提供可重复使用构建块。
中文摘要 AI 辅助
混合连续-离散变量量子处理器可以在振荡器模式或量子模式中直接表示玻色自由度，同时使用量子比特进行控制、读出和非线性操作。最近提出的三角连续变量（CV）门集将振荡器正交的周期函数提升为基本操作，使其成为紧凑变量、转子模型、晶格规范理论和非谐动力学的自然原语。在此，我们在QSCOUT囚禁离子量子平台上通过实验演示并基准测试单量子模式余弦门，并对双量子模式余弦门实现进行模式分辨边际基准测试。我们的实现使用三离子和四离子$^{171}{\rm Yb}^{+}$链的集体运动模式，并通过混合量子比特-量子模式操作和条件相空间位移实现有限步三角门电路。与之前的理论和编译工作不同，我们专注于三角原语的门级表征。我们测量福克空间跃迁概率，研究其对门参数和 Trotter 步数的依赖性，并与包含热初始化和运动退相的模拟进行比较。我们还推导了理想门矩阵元素和相空间诊断，将测量结果与这些门产生的非高斯结构联系起来。这些结果将三角 CV 门确立为玻色哈密顿量模拟和需要本质上非多项式操作的混合量子算法的可重复使用构建块。
英文摘要
We experimentally realize trigonometric continuous-variable gates on a trapped-ion processor, for which a motional mode acquires a phase proportional to the cosine of its position quadrature, and, for the first time, implement the two-mode generalization, coupling two modes through a single nonlinear phase. Such gates provide an experimentally accessible, nonpolynomial primitive for periodic interactions acting on both compact and noncompact degrees of freedom, including rotor models, sine-Gordon-type systems, and lattice gauge theories. Scanning gate strength, spatial frequency, and circuit depth, we resolve via blue-sideband spectroscopy the parity selection rule that fingerprints the exact cosine evolution, and find that an open-system model incorporating residual thermal occupation and motional dephasing reproduces the data. We then derive the asymptotics of the Wigner negativity generated by these gates and find three scaling regimes. The negativity is beyond all algebraic orders in the gate strength while the negative regions sit in far phase-space tails, becomes linear once they reach the bulk, where it saturates a first-order bound we establish, and logarithmic at strong gate strength. These results expose a general mechanism, first identified here through the cosine gate, by which every finite-order perturbative estimate of a non-Gaussian resource can vanish even though the resource itself remains nonzero. Together, our results establish trigonometric gates as controllable, experimentally realizable building blocks for bosonic quantum simulation, expanding the class of nonlinear dynamics accessible to continuous-variable quantum processors.
发表机构
- Stony Brook University（石溪大学）
- Sandia National Laboratories（桑迪亚国家实验室）
- The University of Tennessee, Knoxville（田纳西大学诺克斯维尔分校）
- Old Dominion University（老道明大学）
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