Recently, a new class of monogamy relations (actually, exponentially many) was provided by Christopher Eltschka et al. in terms of squared concurrence. Their approach is restricted to the distribution of bipartite entanglement shared between different subsystems of a global state. We have critically analysed those monogamy relations in three as well as in four-qubit pure states using squared negativity. We have been able to prove that in the case of pure three-qubit states those relations are always true in terms of squared negativity. However, if we consider the pure four-qubit states, the results are not always true. Rather, we find opposite behaviour in some particular classes of four-qubit pure states where some of the monogamy relations are violated. We have provided analytical and numerical evidences in support of our claim.

最近，克里斯托弗·艾尔奇卡（Christopher Eltschka）等人提供了一类新的一夫一妻制关系（实际上，呈指数级增长）。就平方并发而言。他们的方法仅限于全局状态的不同子系统之间共享的二分纠缠的分布。我们已使用平方负数对三个或四个量子位纯态中的一夫一妻制关系进行了批判性分析。我们已经证明，在纯三位态的情况下，根据平方负的平方，这些关系总是正确的。但是，如果考虑纯四比特状态，则结果并不总是正确的。相反，我们在某些特殊的四量子位纯状态类中发现了相反的行为，其中某些一夫一妻制关系受到侵犯。我们提供了分析和数字证据来支持我们的主张。