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arXiv 1209.5574quant-phmath-phmath.MP
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高斯通道的标准超激活需要压缩

Standard super-activation for Gaussian channels requires squeezing

Daniel Lercher, Géza Giedke, Michael M. Wolf

摘要:

玻色子高斯量子信道的量子容量可以以特别惊人的方式是非加性的:一对这样的光纤类型信道可以单独地具有零量子容量,但是彼此超激活,使得组合信道具有严格的正容量。这已经在[Nature Photonics 5,624(2011)]中示出,其中证实了压缩是这种现象的必要资源。我们提供了一个证明,这一猜想表明,规范协变通道的崔矩阵与正的部分转置意味着该通道是纠缠打破。此外,我们构造了一个例子,表明这一含义不成立的高斯通道所产生的被动相互作用与压缩环境。

英文摘要:

The quantum capacity of bosonic Gaussian quantum channels can be non-additive in a particularly striking way: a pair of such optical-fiber type channels can individually have zero quantum capacity but super-activate each other such that the combined channel has strictly positive capacity. This has been shown in [Nature Photonics 5, 624 (2011)] where it was conjectured that squeezing is a necessary resource for this phenomenon. We provide a proof of this conjecture by showing that for gauge covariant channels a Choi matrix with positive partial transpose implies that the channel is entanglement-breaking. In addition, we construct an example which shows that this implication fails to hold for Gaussian channels which arise from passive interactions with a squeezed environment.

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