Interpolating between Positive and Completely Positive Maps: A New Hierarchy of Entangled States

被引：2
作者：
Siudzinska, Katarzyna [1 ]
Chakraborty, Sagnik [1 ]
Chruscinski, Dariusz [1 ]
机构：
[1] Nicolaus Copernicus Univ, Inst Phys, Fac Phys Astron & Informat, Ul Grudziadzka 5-7, PL-87100 Torun, Poland
来源：
ENTROPY | 2021年 / 23卷 / 05期
关键词：
qubit maps; contractivity; Schwarz inequality; positive maps; Schmidt number; SCHMIDT NUMBER; LINEAR MAPS; MATRICES;
D O I：
10.3390/e23050625
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A new class of positive maps is introduced. It interpolates between positive and completely positive maps. It is shown that this class gives rise to a new characterization of entangled states. Additionally, it provides a refinement of the well-known classes of entangled states characterized in terms of the Schmidt number. The analysis is illustrated with examples of qubit maps.
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页数：10
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