Genuine Four Tangle for Four Qubit States

TL;DR

This paper introduces a new polynomial invariant for four-qubit states that measures genuine four-body quantum correlations, derived from three-qubit invariants and their transformation properties.

Contribution

It presents a novel four-qubit polynomial invariant that quantifies genuine four-body correlations, expanding tools for quantum entanglement analysis.

Findings

Defines a four-qubit polynomial invariant for genuine four-body correlations.

Derives the invariant from transformation properties of three-qubit invariants.

Provides a method to quantify four-qubit entanglement.

Abstract

We report a four qubit polynomial invariant that quantifies genuine four-body correlations. The four qubit invariants are obtained from transformation properties of three qubit invariants under a local unitary on the fourth qubit.