The Local Orthogonality Between Quantum States and Entanglement Decomposition
International Journal of Theoretical Physics(2016)
摘要
In the paper, we show that when a quantum state can be decomposed as a convex combination of locally orthogonal mixed states, its entanglement can be decomposed into the entanglement of these mixed states without losing them. The obtained result generalizes a corresponding one proved by Horodecki (Acta Phys. Slov. 48 , 141 1998 ). But, for the entanglement cost it requires certain conditions for holding the decomposition, and the distillable entanglement only has a week result as inequality. Finally, we presented an example to show that the conditions of our conclusions are existence.
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关键词
Quantum states,Local orthogonality,Entanglement
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