广义Choi映射在M_3中的最优性

arXiv - PHYS - Mathematical Physics Pub Date : 2023-12-05 DOI:arxiv-2312.02814

Giovanni Scala, Anindita Bera, Gniewomir Sarbicki, Dariusz Chruściński

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引用次数: 0

摘要

进一步分析了Bera et al. arXiv:2212.03807最近提出的$3 \ × 3$复矩阵代数中的一类线性正映射。它提供了在$M_3$中具有开创性的Choi不可分解极值映射的推广。我们研究了广义Choi映射何时是最优的，即不能表示为正和完全正映射的和。这种性质比极值性弱，然而，事实证明，它在探测量子纠缠方面起着关键作用。

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Optimality of generalized Choi maps in $M_3$

A family of linear positive maps in the algebra of $3 \times 3$ complex matrices proposed recently in Bera et al. arXiv:2212.03807 is further analyzed. It provides a generalization of a seminal Choi nondecomposable extremal map in $M_3$. We investigate when generalized Choi maps are optimal, i.e. cannot be represented as a sum of positive and completely positive maps. This property is weaker than extremality, however, it turns out that it plays a key role in detecting quantum entanglement.

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arXiv - PHYS - Mathematical Physics

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