发表机构
Quantum Technology Lab, Dipartimento di Fisica Aldo Pontremoli, Università degli Studi di Milano; Department of Microtechnology and Nanoscience (MC2), Chalmers University of Technology（米兰大学阿尔多·蓬特莫利物理系量子技术实验室; 查尔姆斯理工大学微技术与纳米科学系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
针对超导平台实现的三模非高斯三线性哈密顿量，理论分析其产生的多体纠缠与Wigner负性资源，并提出无需完整Wigner重建的高效实验验证协议。
AI 中文摘要
非高斯相互作用是实现连续变量量子计算普适性的关键要素，然而其实验表征及正确实现的验证仍是具有挑战性的任务。在本工作中，我们聚焦于一个最近在超导微波平台上实现的三模非高斯三线性哈密顿量，并对其所产生的计算资源进行了全面的理论分析，同时提出了实验上可访问的协议来验证这些资源的存在。我们系统地研究了该哈密顿量产生量子计算的两项关键资源的能力：多体纠缠和Wigner负性。特别地，利用位移宇称Bell测试，我们证明了非定域态的产生，从而为动力学所产生的非高斯态中的多体纠缠提供了操作性认证。我们进一步量化了Wigner对数负性，并将其与已确立的非高斯资源态进行基准比较。基于这一资源导向的表征，我们引入了一种测量高效的协议，用于实验验证哈密顿量的实现，而无需完整重建Wigner函数。该协议将零方差可观测量（零化子和稳定子）的测量与有限数量的目标相空间测量相结合，从而大幅降低了实验开销。
英文摘要
Non-Gaussian interactions are a key ingredient for achieving universality in continuous-variable quantum computation, yet their experimental characterization and the validation of their correct implementation remain challenging tasks. In this work, we focus on a three-mode non-Gaussian trilinear Hamiltonian that has recently been realized in superconducting microwave platforms, and present a comprehensive theoretical analysis of the computational resources it generates, together with experimentally accessible protocols to validate their presence. We systematically investigate its ability to generate two key resources for quantum computation: multipartite entanglement and Wigner negativity. In particular, using displaced-parity Bell tests, we demonstrate the generation of nonlocal states and thereby provide an operational certification of multipartite entanglement in the non-Gaussian states produced by the dynamics. We further quantify the Wigner logarithmic negativity and benchmark it against that of established non-Gaussian resource states. Building on this resource-based characterization, we introduce a measurement-efficient protocol for the experimental validation of the Hamiltonian implementation without requiring full reconstruction of the Wigner function. The protocol combines the measurement of zero-variance observables (nullifiers and stabilizers) with a limited number of targeted phase-space measurements, leading to a drastic reduction of the experimental overhead.
Comments21 pages, 11 figures
