A Note on the Extreme Points of Positive Quantum Operations

A Note on the Extreme Points of Positive Quantum Operations
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DOI:
10.1007/s10773-009-9939-7
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发表时间:
2009-01
影响因子:
1.4
通讯作者:
Zheng-Li Chen;H. Cao
Zheng-Li Chen;H. Cao
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Zheng-Li Chen;H. Cao

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In this paper, an error in the proof of Theorem 4.9 in Gudder’s paper (Int. J. Theor. Phys. 47(1):268–279, 2008) is pointed out and it is proved that if $\mathcal {E}\approx \{E_{1},E_{2},\ldots,E_{n}\}\in\mathcal {Q}_{pos}({\mathcal{H}})\setminus \mathcal {Q}_{pro}({\mathcal{H}})$ such thatEi∈ℂI∖{0} andEj∉ℂIfor somei,jin {1,2,…,n}, then.