论文标题

多码系统的一夫一妻制关系

Monogamy Relations for Multiqubit Systems

论文作者

Char, Priyabrata, Dey, Prabir Kumar, Kundu, Amit, Chattopadhyay, Indrani, Sarkar, Debasis

论文摘要

最近,克里斯托弗·埃尔特斯卡(Christopher Eltschka)等人提供了一种新的一夫一妻制关系(实际上,很多)。就平方并发而言。他们的方法仅限于在全球国家的不同子系统之间共享的两分纠缠的分布。我们使用平方负性进行了批判性分析三个和四个量子纯状态中的一夫一妻制关系。我们已经能够证明,在纯粹的三个Qubit的情况下,这些关系总是在平方的负面性方面是真实的。但是,如果我们考虑纯粹的四个量子状态,则结果并不总是正确的。相反,我们在某些违反某些一夫一妻关系的四个Qubit纯净状态的某些特定类别中发现了相反的行为。我们提供了支持我们主张的分析和数值证据。

Recently a new class of monogamy relations (actually, exponentially many) was provided by Christopher Eltschka et al. in terms of squared concurrence. Their approach restricted to the distribution of bipartite entanglement shared between different subsystems of a global state. We have critically analyzed those monogamy relations in three as well as in four qubit pure states using squared negativity. We have been able to prove that in 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.

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