Fock空间中连续变量状态的不可分性和不可分性的检测
Detecting the inseparability and distillability of continuous variable states in Fock space
摘要：
部分转置（PT）运算是检测混合态不可分性的有效工具。本文给出了Fock空间中连续变量态的PT运算的一个显式公式。然后给出了高斯算子为正的充分必要条件。在此基础上，自然地得出了多模高斯态不可分性和不可分性的若干判据。最后给出了全局高斯态在子空间中的一个显式表达式。这个公式与高斯态的已知结果一起，给出了全局高斯态在子空间中的不可分性和不可分性的判据。
英文摘要：
The partial transposition(PT) operation is an effecient tool in detecting the inseparability of a mixed state. We give an explicit formula for the PT operation for the continuous variable states in Fock space. We then give the necessary and sufficient condition for the positivity of Gaussian operators. Based on this, a number of creterions on the inseparability and distillability for the multimode Gaussian states are naturally drawn. We finally give an explicit formula for the state in a subspace of a global Gaussian state. This formula, together with the known results for Gaussian states, gives the criterions for the inseparability and distillability in a subspace of the global Gaussian state.
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