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

• URL: http://arxiv.org/abs/2104.03679v2
• Date: Wed, 15 Sep 2021 09:34:23 GMT
• Title: Classification witness operator for the classification of different subclasses of three-qubit GHZ class
• Authors: Anu Kumari, Satyabrata Adhikari
• Abstract summary: We distribute pure three-qubit states from GHZ class into different subclasses denoted by $S_1$, $S_2$, $S_3$, $S_4$. We have shown that the constructed witness operator can be decomposed into Pauli matrices and hence can be realized experimentally.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 classes are called as GHZ class and W class. GHZ class proved to be a very useful class for different quantum information processing task such as quantum teleportation, controlled quantum teleportation etc. In this work, we distribute pure three-qubit states from GHZ class into different subclasses denoted by $S_{1}$, $S_{2}$, $S_{3}$, $S_{4}$ and show that the three-qubit states either belong to $S_{2}$ or $S_{3}$ or $S_{4}$ may be more efficient than the three-qubit state belong to $S_{1}$. Thus, it is necessary to discriminate the states belong to $S_{i}, i=2,3,4$ and the state belong to $S_{1}$. To achieve this task, we have constructed different witness operators that can classify the subclasses $S_{i}, i=2,3,4$ from $S_{1}$. We have shown that the constructed witness operator can be decomposed into Pauli matrices and hence can be realized experimentally.

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