A NOTE ON LOCALLY UNEXTENDIBLE NON-MAXIMALLY ENTANGLED BASIS

被引：0

作者：

Chen, Bin ^{[1
]}

Nizamidin, Halqem ^{[1
]}

Fei, Shao-Ming ^{[1
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

来源：

QUANTUM INFORMATION & COMPUTATION | 2013年 / 13卷 / 11-12期

关键词：

Unextendible basis; Non-maximally entangled state; LUNMEB; BOUND ENTANGLEMENT; PRODUCT BASES;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We study the locally unextendible non-maximally entangled basis (LUNMEB) in H-d circle times H-d. We point out that there exists an error in the proof of the main result of LUNMEB [Quant. Inf. Comput. 12, 0271(2012)], which claims that there are at most d orthogonal vectors in a LUNMEB, constructed from a given non-maximally entangled state. We show that both the proof and the main result are not correct in general. We present a counter example for d = 4, in which five orthogonal vectors from a specific non-maximally entangled state are constructed. Besides, we completely solve the problem of LUNMEB for the case of d = 2.

引用

页码：1077 / 1080

页数：4

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