Concurrence is viewed as the most commonly approach for quantifying entanglement of two-qubit states, while intrinsic concurrence contains concurrence of four pure states consisting of a special pure state ensemble concerning an arbitrary two-qubit state. Thus, a natural question arises: Whether there is a specified relation between them. We firstly examine the relation between concurrence and intrinsic concurrence for the maximally nonlocal mixed state under a special unitary operation, which is not yet rigorously proved. In order to obtain a general result, we investigate the relation between concurrence and intrinsic concurrence using randomly generated two-qubit states, and derive an inequality relation between them. Finally, we take into account the relation between concurrence and intrinsic concurrence in open systems, and reveal the ratio of the two quantum resources, which is only correlated with the experiencing channels.

并发被认为是量化两个量子位状态纠缠的最常用方法，而内在并发包含四个纯状态的并发，这些纯状态由与任意两个量子位状态相关的特殊纯状态集合组成。因此，一个自然的问题出现了：它们之间是否存在特定的关系。我们首先研究了在特殊的幺正运算下最大非局部混合状态的并发和内在并发之间的关系，这还没有得到严格证明。为了获得一般结果，我们使用随机生成的两个量子比特状态研究并发和内在并发之间的关系，并推导出它们之间的不等式关系。最后，我们考虑了开放系统中并发和内在并发之间的关系，