论文标题
混合离散可变高斯州
Mixed discrete variable Gaussian states
论文作者
论文摘要
具有有限维克的量子系统具有多种应用，并在理论上和实验上进行了深入的探索。这些系统的数学描述与通常的无限维情况相类比。在连续情况下使用的大多数元素存在有限版本，但是（据我们所知）不存在与混合高斯州相对应的有限版本。我们的目标是填补这一空白。我们针对混合离散高斯状态提出的定义是基于我们在纯离散可变状态的情况下获得的明确公式。
The quantum systems with finite-dimensional Hilbert space have several applications and are intensively explored theoretically and experimentally. The mathematical description of these systems follows the analogy with the usual infinite-dimensional case. There exist finite versions for most of the elements used in the continuous case, but (to our knowledge) there does not exist a finite version corresponding to the mixed Gaussian states. Our aim is to fill this gap. The definition we propose for the mixed discrete Gaussian states is based on the explicit formulas we have obtained in the case of pure discrete variable Gaussian states.
