Optimal allocation of quantum resources

TL;DR

This paper explores optimal strategies for allocating quantum resources in multipartite systems, emphasizing fairness, reliability, and equitability, with implications for quantum networks and the future Quantum Internet.

Contribution

It introduces new optimal allocation solutions for qudits based on measurement incompatibility and analyzes the role of equitability across multiple resource theories.

Findings

Optimal allocation solutions for arbitrary qudits using measurement incompatibility.

Relevance of proportional fairness and reliability in quantum resource allocation.

Potential applications to quantum networks and Quantum Internet.

Abstract

The optimal allocation of resources is a crucial task for their efficient use in a wide range of practical applications in science and engineering. This paper investigates the optimal allocation of resources in multipartite quantum systems. In particular, we show the relevance of proportional fairness and optimal reliability criteria for the application of quantum resources. Moreover, we present optimal allocation solutions for an arbitrary number of qudits using measurement incompatibility as an exemplary resource theory. Besides, we study the criterion of optimal equitability and demonstrate its relevance to scenarios involving several resource theories such as nonlocality vs local contextuality. Finally, we highlight the potential impact of our results for quantum networks and other multi-party quantum information processing, in particular to the future Quantum Internet.