Super fidelity and related metric

TL;DR

This paper introduces a new quantum state metric based on super-fidelity, which is closely related to existing fidelity measures and is useful for quantifying entanglement in quantum systems.

Contribution

The paper proposes a novel metric derived from super-fidelity, highlighting its properties and significance in quantum information theory.

Findings

The new metric has interesting mathematical properties.

It is connected to the Uhlmann-Jozsa fidelity.

It plays a role in quantifying entanglement.

Abstract

We report a new metric of quantum states. This metric is build up from super-fidelity, which has deep connection with the Uhlmann-Jozsa fidelity and plays an important role in quantifying entanglement. We find that the new metric possess some interesting properties.