论文标题

多Qubit对称纯状态中三方量子相关的度量

Measure of tripartite quantum correlation in multiqubit symmetric pure state

论文作者

Deb, Ram Narayan

论文摘要

我们提出了在N相关的两级原子(Qubits)的任意对称纯状态下的三方量子相关的直接度量。我们根据组装中原子的个别原子操作员来计算集体伪自旋运算符的三阶力矩,并发现原子中的所有双分部分量子相关项都取消了,其中仅留下所有可能的tripartite量子相关术语。我们观察到三阶力矩仅由原子之间的三方量子相关组成。这有助于仅提取N原子之间的三方量子相关性,并提出对这些相关性的度量和量化。我们还提出了在此类多原子系统中存在三方量子相关性的必要条件。我们猜想了通过实验性地确定组装中两级原子的伪自旋算子的三阶矩。

We propose a direct measure of tripartite quantum correlation in an arbitrary symmetric pure state of N correlated two-level atoms (qubits). We compute the third order moments of the collective pseudo-spin operators in terms of the individual atomic operators of the atoms in the assembly and find that all the bipartite quantum correlation terms among the atoms cancel out leaving only the all possible tripartite quantum correlation terms among them. We observe that the third order moments are made up of solely the tripartite quantum correlations among the atoms. This helps to extract out only the tripartite quantum correlations among the N atoms and propose a measure and quantification of these correlations. We also propose the necessary and sufficient condition for the presence of tripartite quantum correlation in such multi-atomic systems. We conjecture the way of determining the third order moments of the pseudo-spin operators of the two-level atoms in the assembly, experimentally.

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