Affinity-based geometric discord and quantum speed limits of its creation and decay

TL;DR

This paper introduces a new affinity-based geometric quantum discord measure that overcomes limitations of previous measures and explores its implications for quantum speed limits and the role of quantum correlations in dynamical processes.

Contribution

It proposes a novel affinity-based quantum discord measure that resolves existing measure issues and derives new bounds for quantum speed limits related to quantum correlation dynamics.

Findings

Affinity-based discord resolves local ancilla problem.

Derived ML and MT bounds for quantum speed limits.

Affinity measure is a better resource than entanglement.

Abstract

In this article, we define a faithful quantifiers of bipartite quantum correlation, namely geometric version of quantum discord using affinity based metric. It is shown that the newly-minted measure resolves the local ancilla problem of Hilbert-Schmidt measures. Exploiting the notion of affinity-based discord, we derive Margolus-Levitin (ML) and Mandelstamm-Tamm (MT) bounds for the quantum speed limit time for the creation and decay of quantum correlation. The dynamical study suggests that the affinity measure is a better resource compared to entanglement. Finally, we study the role of quantum correlation on quantum speed limit.