Entanglement measures under symmetry
Entanglement measures under symmetry
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DOI：
10.1103/physreva.64.062307
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发表时间：
2000-10
影响因子：
2.9
通讯作者：
K. Vollbrecht;R. Werner
中科院分区：
文献类型：
--
作者：
K. Vollbrecht;R. Werner
我们展示了如何简化在一组局域对称性下保持不变的态的形成纠缠和纠缠的相对熵的计算。对于几个群的例子，我们刻画了在这些群下不变的状态空间。对于具体的例子，我们计算了纠缠度。特别地，我们推导出了$(U)不变态形成纠缠的显式公式，并找到了纠缠相对熵的可加性猜想的反例。
We show how to simplify the computation of the entanglement of formation and the relative entropy of entanglement for states, which are invariant under a group of local symmetries. For several examples of groups we characterize the state spaces, which are invariant under these groups. For specific examples we calculate the entanglement measures. In particular, we derive an explicit formula for the entanglement of formation for $(U\ensuremath{\bigotimes}U)$-invariant states, and we find a counterexample of the additivity conjecture for the relative entropy of entanglement.