Constraint Relation Between Steerability and Concurrence for Two-Qubit States,Annalen Der Physik

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Constraint Relation Between Steerability and Concurrence for Two-Qubit States
Annalen Der Physik ( IF 2.2 ) Pub Date : 2021-06-16 , DOI: 10.1002/andp.202100098
Xiao‐Gang Fan ₁ , Huan Yang ₁ , Fei Ming ₁ , Dong Wang ₁ , Liu Ye ₁

Affiliation

Entanglement and steering are used to describe quantum correlation. And steerable states form a strict subset of entangled states. A natural question arises concerning how much territory steerability occupies entanglement for a general two-qubit entangled state. In this work, the constraint relation between steerability and concurrence is investigated by using two kinds of evolutionary states and any two-qubit states (or lots of randomly generated states). By combining the theoretical and numerical proofs, the upper and lower boundaries of steerability are obtained. And the lower boundary can be used as a sufficient criterion for steering detection. Furthermore, a special kind of mixed state transformed by performing an arbitrary unitary transformation on Werner-like state is considered, and a sufficient steering criterion described by concurrence and purity is proposed.

中文翻译：

两个量子比特状态的可操纵性和并发性之间的约束关系

纠缠和转向用于描述量子相关性。可控状态形成纠缠状态的严格子集。一个自然的问题是，对于一般的双量子位纠缠状态，有多少领土可操纵性占据了纠缠。在这项工作中，通过使用两种进化状态和任意两个量子位状态（或大量随机生成的状态）来研究可操纵性和并发性之间的约束关系。通过结合理论和数值证明，获得了可操纵性的上下边界。并且下边界可以用作转向检测的充分标准。此外，考虑了通过对类 Werner 状态执行任意酉变换而变换的一种特殊混合状态，

更新日期：2021-08-07

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