Generalized controlled phase QGE

TL;DR

This paper introduces a generalized controlled phase entangler for multi-qubit states, leveraging geometric structures, and explores its relation to graph states in two- and three-qubit systems.

Contribution

It presents a novel generalized controlled phase gate entangler and analyzes its connection to graph states in small multi-qubit systems.

Findings

Established a geometric framework for the generalized controlled phase gate.

Linked the generalized gate to graph states in two- and three-qubit systems.

Abstract

We construct a generalized controlled phased gate entangler for a multi-qubit state based on the geometrical structure of quantum systems. We also investigate relation between the generalized controlled phase construction of a quantum gate entangler and graph state for two-qubit and three-qubit states.