Inequalities for the quantum privacy

TL;DR

This paper explores the asymptotic behavior of quantum privacy in multipartite systems, deriving inequalities and bounds that relate privacy to entanglement fidelity, revealing a trade-off between them.

Contribution

It introduces a new inequality for quantum privacy and establishes a lower bound based on entanglement fidelity, advancing understanding of privacy-entanglement relationships.

Findings

Derived an inequality for quantum privacy using quantum entropy.

Established a lower limit for quantum privacy via entanglement fidelity.

Identified an interval where increased entanglement fidelity decreases quantum privacy.

Abstract

In this work we investigate the asymptotic behavior related to the quantum privacy for multipartite systems. In this context, an inequality for quantum privacy was obtained by exploiting of quantum entropy properties. Subsequently, we derive a lower limit for the quantum privacy through the entanglement fidelity. In particular, we show that there is an interval where an increase in entanglement fidelity implies a decrease in quantum privacy.