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arXiv · 1110.5109

Conditions on local operations to create quantum correlation

Xueyuan Hu·Heng Fan·Duan-Lu Zhou·Wu-Ming Liu
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Abstract

We prove the condition for local trace-preserving channels to create quantum correlation from initially classical states. For two-qubit states, the necessary and sufficient condition for a channel that cannot create quantum correlation in any initially classical state is that it is either a completely decohering channel or a mixing channel. For states in higher dimensions, we show that even a mixing channel can create quantum correlation from a classically correlated state. Our results reveal that mixedness is important for creation of quantum correlation in high-dimension quantum systems.

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Xueyuan Hu, Heng Fan, Duan-Lu Zhou, Wu-Ming Liu. 2011-10-25. Conditions on local operations to create quantum correlation. https://arxiv.org/abs/1110.5109

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