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arXiv quant-ph/0306177quant-ph
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高斯纠缠

Gaussian Entanglement of Formation

M. M. Wolf, G. Giedke, O. Krueger, R. F. Werner, J. I. Cirac

摘要:

我们引入了一个高斯版本的纠缠的形成适应二分高斯态,考虑分解成纯高斯态。我们证明了这个量在高斯操作下是纠缠单调的,并为任意多模式的态提供了一个简化的计算。对于每个站点一个模式的情况下,剩余的变分问题可以解析地解决。如果所考虑的状态是另外对称的关于互换的两个模式,我们证明了所考虑的纠缠度量的可加性。此外,在这种情况下,考虑只有一个副本,我们的纠缠措施符合真正的纠缠形成。

英文摘要:

We introduce a Gaussian version of the entanglement of formation adapted to bipartite Gaussian states by considering decompositions into pure Gaussian states only. We show that this quantity is an entanglement monotone under Gaussian operations and provide a simplified computation for states of arbitrary many modes. For the case of one mode per site the remaining variational problem can be solved analytically. If the considered state is in addition symmetric with respect to interchanging the two modes, we prove additivity of the considered entanglement measure. Moreover, in this case and considering only a single copy, our entanglement measure coincides with the true entanglement of formation.

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