Fidelity based purity and coherence for quantum states

TL;DR

This paper introduces a fidelity-based measure for quantifying purity and coherence in quantum states, explores their relationship, extends the concept to quantum correlations, and examines the impact of weak measurements.

Contribution

It proposes a novel fidelity-based monotone for purity and coherence, linking these resources and extending the framework to quantum correlations and weak measurements.

Findings

Fidelity-based purity and coherence measures are valid and establish a relationship.

The formulation extends to quantum correlations relative to measurement.

Weak measurements influence the purity of quantum states.

Abstract

Purity and coherence of a quantum state are recognized as useful resources for various information processing tasks. In this article, we propose a fidelity based valid measure of purity and coherence monotone and establish a relationship between them. This formulation of coherence is extended to quantum correlation relative to measurement. We have also studied the role of weak measurement on purity.