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This study experimentally validates a fundamental tradeoff between local coherence and global quantum mutual information, establishing a definitive upper limit on their combined sum. The findings reveal that in quantum networks, resources available at individual nodes are mutually exclusive with those spanning the entire network, meaning enhancing one necessarily constrains the other. This work provides critical experimental evidence for the complementarity of these resources, offering new constraints for designing efficient quantum communication architectures.
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Experimentally realized local-global tradeoff in quantum resources

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arXiv:2609.40033v1 Announce Type: new Abstract: The interconversion among different quantum resources has attracted considerable attention, exemplified by the tradeoff between coherence and entanglement. However, the relationship between local and global quantum resources remains largely unexplored. Here, we propose and experimentally demonstrate a local global tradeoff in quantum resources, quantified respectively by the local maximum coherence and the quantum mutual information. Our experiments show that the sum of the local maximum coherence and the quantum mutual information is bounded by a definitive upper limit. These results not only establish a fundamental tradeoff inequality, but also provide direct experimental evidence of the complementarity between local and global quantum resources. Moreover, our findings reveal an important constraint in quantum networks: the local quantum resources available at individual nodes and the global quantum resources of the network are mutually exclusive, implying that enhancing one necessarily limits the other.

Abstract:The interconversion among different quantum resources has attracted considerable attention, exemplified by the tradeoff between coherence and entanglement. However, the relationship between local and global quantum resources remains largely unexplored. Here, we propose and experimentally demonstrate a local global tradeoff in quantum resources, quantified respectively by the local maximum coherence and the quantum mutual information. Our experiments show that the sum of the local maximum coherence and the quantum mutual information is bounded by a definitive upper limit. These results not only establish a fundamental tradeoff inequality, but also provide direct experimental evidence of the complementarity between local and global quantum resources. Moreover, our findings reveal an important constraint in quantum networks: the local quantum resources available at individual nodes and the global quantum resources of the network are mutually exclusive, implying that enhancing one necessarily limits the other.

arXiv:2609.40033 [quant-ph]

(or arXiv:2609.40033v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.40033 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

Phys. Rev. Research 8, L022041 (2026)

https://doi.org/10.1103/dpjr-2xz5 Focus to learn more DOI(s) linking to related resources

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