Four-tangle for pure states

TL;DR

This paper derives a new expression for four-tangle in pure states using negativity fonts and provides an alternative derivation for three tangle, enhancing understanding of quantum entanglement measures.

Contribution

It introduces a novel method to compute four-tangle via negativity fonts and offers an alternative derivation for three tangle, advancing entanglement quantification techniques.

Findings

Derived a new expression for four-tangle in pure states.

Provided an alternative derivation for three tangle.

Enhanced methods for quantifying quantum entanglement.

Abstract

An expression for four-tangle is obtained by examining the negativity fonts present in a four-way partial transpose under local unitary operations. An alternate derivation of three tangle is also given.