Quantum entanglement in n-qubit real equally weighted states

TL;DR

This paper investigates the entanglement properties of n-qubit real equally weighted states used in quantum algorithms, classifying them into seven groups based on structural degrees and analyzing their multipartite entanglement features.

Contribution

It provides a novel classification of n-qubit real equally weighted states and analyzes their entanglement characteristics, enhancing understanding of their role in quantum algorithms.

Findings

States are classified into 7 parts based on structural degrees.

Multipartite entanglement features vary across different classes.

Insights into entanglement structure aid quantum algorithm analysis.

Abstract

The n-qubit real equally weighted states are employed in some quantum algorithms including Deutsch-Jozsa, Grover, Simon, and so on. We qualitatively investigate the entanglement properties of n-qubit real equally weighted states. Firstly, all of the n-qubit real equally weighted states are classified into 7 parts by means of their structural degrees. Then we analyze the multipartite entanglement features of the states in every part by means of separable and similar degrees.