Entangling power and local invariants of two-qubit gates

TL;DR

This paper establishes a simple relation between entangling power and local invariants of two-qubit gates, aiding in classifying gates and understanding their entangling capabilities.

Contribution

It introduces a general relation linking entangling power and local invariants, providing criteria for classifying two-qubit gates as perfect or nonperfect entanglers.

Findings

Derived a relation connecting entangling power and local invariants.

Established a condition for gates to have the same entangling power.

Provided a lower bound for entangling power of perfect entanglers.

Abstract

We show a simple relation connecting entangling power and local invariants of two-qubit gates. From the relation, a general condition under which gates have same entangling power is arrived. The relation also helps in finding the lower bound of entangling power for perfect entanglers, from which the classification of gates as perfect and nonperfect entanglers is obtained in terms of local invariants.