Entanglement witnesses from mutually unbiased bases

被引：24

作者：

Chruscinski, Dariusz ^{[1
]}

Sarbicki, Gniewomir ^{[1
]}

Wudarski, Filip ^{[1
,2
,3
,4
]}

机构：

[1] Nicolaus Copernicus Univ, Inst Phys, Fac Phys Astron & Informat, Grudziadzka 5-7, PL-87100 Torun, Poland

[2] Univ KwaZulu Natal, Sch Chem & Phys, Quantum Res Grp, ZA-4001 Durban, South Africa

[3] Univ KwaZulu Natal, Natl Inst Theoret Phys, ZA-4000 Durban, South Africa

[4] Univ Freiburg, Phys Inst, Herrmann Herder Str 3, D-79104 Freiburg, Germany

来源：

PHYSICAL REVIEW A | 2018年 / 97卷 / 03期

关键词：

INDECOMPOSABLE POSITIVE MAPS; MATRIX ALGEBRAS; SEPARABILITY CRITERION; QUANTUM ENTANGLEMENT; STATES; GEOMETRY;

D O I：

10.1103/PhysRevA.97.032318

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We provide a class of entanglement witnesses constructed in terms of mutually unbiased bases (MUBs). This construction reproduces many well-known examples such as the celebrated reduction map and the Choi map together with its generalizations. We illustrate our construction by a detailed analysis of the three-dimensional case: In this case, one obtains a family of entanglement witnesses parametrized by an L-dimensional torus (L = 2,3,4 being a number of MUBs used in the construction).

引用

页数：7

共 59 条

[1] The mean king's problem: Spin 1 [J].