AI 中文总结
该研究证明所有两模高斯态的形成纠缠与其高斯限制一致，解决了连续变量量子信息论的长期开放问题，给出了纠缠与广义EPR可观测量的严格仿射关系，还为非高斯态形成纠缠提供了可测量下界。
AI 中文摘要
我们证明，所有两模高斯态的形成纠缠都与其高斯限制一致，解决了连续变量量子信息论中一个长期存在的开放问题。关键结果是，对任意纯两模态（包括非高斯态），纠缠与广义爱因斯坦-波多尔斯基-罗森可观测量之间存在严格仿射关系。该结果可推广到双对称多模高斯态，还为任意非高斯态的形成纠缠提供了可测量的下界。
英文摘要
We prove that the entanglement of formation of every two-mode Gaussian state coincides with its Gaussian restriction, solving a longstanding open problem in continuous variable quantum information theory. The key result is a sharp affine relation between entanglement and a generalized Einstein-Podolsky-Rosen observable, valid for arbitrary pure two-mode states, including non-Gaussian ones. Our result extends to bisymmetric multimode Gaussian states, and also provides a measurable lower bound on the entanglement of formation of arbitrary non-Gaussian states.
Comments9 pages, 1 figure; references updated
