Non-Additivity of the Entanglement of Purification (Beyond Reasonable Doubt)

Non-Additivity of the Entanglement of Purification (Beyond Reasonable Doubt)
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纯化纠缠的非可加性(排除合理怀疑)

DOI:
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发表时间:
2012
期刊:
arXiv.org
影响因子:
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通讯作者:
A. Winter
A. Winter
中科院分区:
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文献类型:
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作者:
Jianxin Chen;A. Winter

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我们证明了正则化纠缠的纯化和熵之间的差异,作为状态的函数的凸性。这是证明了一个新的渐近协议,准备一个国家从预共享纠缠和本地操作。我们继续采用这种凸性性质的(单拷贝)纠缠的可加性的研究纯化:使用两个量子比特的维尔纳态的数值结果,我们发现强有力的证据,纯化的纠缠是不同的,从它的正则化,因此,纠缠的纯化是不加性的。
We demonstrate the convexity of the difference between the regularized entanglement of purification and the entropy, as a function of the state. This is proved by means of a new asymptotic protocol to prepare a state from pre-shared entanglement and by local operations only. We go on to employ this convexity property in an investigation of the additivity of the (single-copy) entanglement of purification: using numerical results for two-qubit Werner states we find strong evidence that the entanglement of purification is different from its regularization, hence that entanglement of purification is not additive.
DOI: 10.1007/s00220-008-0624-0
发表时间: 2008-11-01
影响因子: 2.4
作者:
Hayden, Patrick;Winter, Andreas
通讯作者: Winter, Andreas