Classification of the Entangled States of $2\times L\times M\times N\times H$

Abstract

In this work we propose a practical entanglement classification scheme for pure states of $2\times L\times M\times N\times H$, under the stochastic local operation and classical communication (SLOCC), which generalizes the method explored in the entanglement classification of $2\times L\times M\times N$ to the five-partite system. The entangled states of $2\times L\times M\times N\times H$ system are first classified into different coarse-grained standard forms using matrix decompositions, and then fine-grained identification of two inequivalent entangled states with the same standard form are completed by using the matrix realignment technique. As an practical example, entanglement classes of the five-qubit system of $2\times 2\times 2\times 2\times 2$ are presented.

4 pages

References in corpus (3)

• Constructing N-qubit entanglement monotones from anti-linear operators
• Classification of arbitrary-dimensional multipartite pure states under stochastic local operations and classical communication using the rank of coefficient matrix
• The Parametric Symmetry and Numbers of the Entangled Class of 2 \times M \times N System