论文标题
部分换位的结构性物理近似使SLOCC不等的三Q量系统的类别有可能
Structural physical approximation of partial transposition makes possible to distinguish SLOCC inequivalent classes of three-qubit system
论文作者
论文摘要
多量子系统的纠缠属性的检测和分类是一个引起极大兴趣的话题。该主题已经进行了广泛的研究，因此我们发现了多数纠缠状态检测和分类的不同方法。我们已将部分换位操作应用于三Q量系统的一个量子之一，然后研究了正在研究的三Q Qubit System的纠缠属性。由于部分换位操作不是量子操作，因此我们以某种方式具有近似的部分换位操作，因此它代表了一个完全正面的映射。近似的部分换位操作也称为部分换位的结构物理近似（SPA-PT）。我们详细研究了SPA-PT在三个量子系统上的应用，并明确提供了描述三个量子系统的SPA-PT的密度矩阵的矩阵元素。此外，我们提出标准，以通过SPA-PT MAP分类所有可能的随机局部操作和经典交流（SLOCC）的纯度和三个Qubit状态的类别类别，这使我们的标准在实验上可以实现。我们已经说明了我们的标准，用于通过考虑几乎没有例子来检测和分类三分之一的纠缠状态。
Detection and classification of entanglement properties of a multi-qubit system is a topic of great interest. This topic has been studied extensively and thus we found different approaches for the detection and classification of multi-qubit entangled states. We have applied partial transposition operation on one of the qubit of the three-qubit system and then studied the entanglement properties of the three-qubit system, which is under investigation. Since the partial transposition operation is not a quantum operation so we have approximated partial transposition operation in such a way so that it represent a completely positive map. The approximated partial transposition operation is also known as structural physical approximation of partial transposition (SPA-PT). We have studied in detail the application of SPA-PT on a three qubit system and provided explicitly the matrix elements of the density matrix describing SPA-PT of a three qubit system. Moreover, we propose criterion to classify all possible stochastic local operations and classical communication(SLOCC) inequivalent classes of a pure as well as mixed three qubit state through SPA-PT map, which makes our criterion experimentally realizable. We have illustrated our criterion for detection and classification of three-qubit entangled states by considering few examples.
