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arXiv · 1411.0216

The Local Orthogonality between Quantum States and Entanglement Decomposition

Sunho Kim·Junde Wu·Lin Zhang·Minhyung Cho
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Abstract

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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Sunho Kim, Junde Wu, Lin Zhang, Minhyung Cho. 2014-11-02. The Local Orthogonality between Quantum States and Entanglement Decomposition. https://arxiv.org/abs/1411.0216

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