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
收藏
页码：1077 / 1080
页数：4
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