关于可交换连续变量系统
On Exchangeable Continuous Variable Systems
摘要：
研究了置换不变连续变量量子态及其协方差矩阵。我们提供了一个完整的表征，后者的置换不变性，交换和代表凸组合的张量功率状态。在各自的密度算子的水平上，这导致了所有这些属性的必要标准，这些属性对于高斯态是必要和充分的。对于这些，我们使用导出的结果提供各种距离措施的de Finetti型定理。
英文摘要：
We investigate permutation-invariant continuous variable quantum states and their covariance matrices. We provide a complete characterization of the latter with respect to permutation-invariance, exchangeability and representing convex combinations of tensor power states. On the level of the respective density operators this leads to necessary criteria for all these properties which become necessary and sufficient for Gaussian states. For these we use the derived results to provide de Finetti-type theorems for various distance measures.
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