The tensor rank of tensor product of two three-qubit W states is eight

被引：30
|
作者：
Chen, Lin [1 ,2 ]
Friedland, Shmuel [3 ]
机构：
[1] Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China
[2] Beihang Univ, Int Res Inst Multidisciplinary Sci, Beijing 100191, Peoples R China
[3] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2018年 / 543卷
基金：
北京市自然科学基金;
关键词：
Tensor rank; Qubit; W state; Kronecker product; Tensor product;
D O I：
10.1016/j.laa.2017.12.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the tensor rank of tensor product of two three-qubit W states is not less than eight. Combining this result with the recent result of M. Christandl, A.K. Jensen, and J. Zuiddam that the tensor rank of tensor product of two three-qubit W states is at most eight, we deduce that the tensor rank of tensor product of two three-qubit W states is eight. We also construct the upper bound of the tensor rank of tensor product of many three-qubit W states. (C) 2017 Elsevier Inc. All rights reserved.
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页码：1 / 16
页数：16
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