Manipulating heterogeneous quantum resources over a network

TL;DR

This paper introduces a unified framework for manipulating multiple quantum resources across distributed networks, establishing fundamental bounds and revealing new phenomena in resource conversion and certification.

Contribution

It develops a comprehensive theory for distributed quantum resources, deriving universal bounds and methods for resource manipulation in heterogeneous networks.

Findings

Universal bounds on resource manipulation in networks

New methods for constructing resource monotones

Discovery of phenomena in remote resource certification

Abstract

Quantum information processing relies on a variety of resources, including entanglement, coherence, non-Gaussianity, and magic. In realistic settings, protocols run on networks of parties with heterogeneous local resource constraints, so different resources coexist and interact. Yet, resource theories have mostly treated each resource in isolation, and a general theory for manipulation in such distributed settings has been lacking. We develop a unified framework for composite quantum resource theories that describes distributed networks of locally constrained parties. We formulate natural axioms a composite theory should satisfy to respect the local structure, and from these axioms derive fundamental bounds on resource manipulation that hold universally, independent of the particular network characteristics. We apply our results to central operational tasks, including resource conversion and assisted distillation, and introduce new methods to construct new resource monotones from this setup. Our framework further reveals previously unexplored phenomena in the remote certification of quantum resources. Together, these results establish foundational laws for distributed quantum resource manipulation across diverse physical platforms.