Quantum Gaussian states on Boson Fock spaces are quantum versions of Gaussian distributions. In this paper, we explore infinite mode quantum Gaussian states. We extend many of the results of Parthasarathy in [ 14 , 16 ] to the infinite mode case, which includes various characterizations, convexity and symmetry properties.

中文翻译：

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无限模式量子高斯态

Boson Fock 空间上的量子高斯态是高斯分布的量子版本。在本文中，我们探索了无限模式的量子高斯态。我们将 [14, 16] 中 Parthasarathy 的许多结果扩展到无限模式情况，其中包括各种表征、凸性和对称性。