Classification witness operator for the classification of different subclasses of three-qubit GHZ class

It is well known that three-qubit system has two kind of inequivalent genuine entangled classes under stochastic local operation and classical communication (SLOCC). These are called as GHZ class W class. proved to be a very useful for different quantum information processing task such teleportation, controlled teleportation etc. In this work, we distribute pure states from into subclasses denoted by $S_{1}$, $S_{2}$, $S_{3}$, $S_{4}$ show the either belong $S_{2}$ or $S_{3}$ may more efficient than state $S_{1}$. Thus, it necessary discriminate $S_{i}, i=2,3,4$ To achieve task, have constructed witness operators can classify We shown operator decomposed Pauli matrices hence realized experimentally.