An Operational Framework for Nonclassicality in Quantum Communication Networks

[2403.02988] An Operational Framework for Nonclassicality in Quantum Communication Networks Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Quantum Physics arXiv:2403.02988 (quant-ph) [Submitted on 5 Mar 2024 ( v1 ), last revised 24 Mar 2026 (this version, v3)] Title: An Operational Framework for Nonclassicality in Quantum Communication Networks Authors: Brian Doolittle , Felix Leditzky , Eric Chitambar View a PDF of the paper titled An Operational Framework for Nonclassicality in Quantum Communication Networks, by Brian Doolittle and 2 other authors View PDF Abstract: Quantum resources, such as entanglement or quantum communication, offer significant communication advantages in information processing. We develop an operational framework for realizing these communication advantages in resource-constrained quantum networks. The framework computes linear bounds on the input/output probabilities of classical networks with limited communication and globally shared randomness. Since the violation of these classical bounds witnesses nonclassicality, a measurable communication advantage, the framework maximizes the violation of the classical bound using variational quantum optimization methods tailored to the communication network and quantum resources. This operational framework for nonclassicality can be scaled on quantum computers or deployed in the field to optimize noisy quantum networks for communication advantages. Applying this framework, we investigate the nonclassicality of communication networks that are assisted by quantum resources. We find that entanglement between communication-constrained parties is sufficient for nonclassicality to be found, whereas in networks with multiple senders, quantum communication with no entanglement-assistance is sufficient for nonclassicality to be found. As a result, entanglement is necessary for nonclassicality when a single sender broadcasts to multiple receivers. Comments: 41 pages, 24 Figures, 17 Tables Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2403.02988 [quant-ph] (or arXiv:2403.02988v3 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2403.02988 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Quantum 10, 2052 (2026) Related DOI : https://doi.org/10.22331/q-2026-04-08-2052 Focus to learn more DOI(s) linking to related resources Submission history From: Brian Doolittle [ view email ] [v1] Tue, 5 Mar 2024 14:07:37 UTC (3,227 KB) [v2] Mon, 6 Jan 2025 18:40:49 UTC (4,485 KB) [v3] Tue, 24 Mar 2026 13:58:48 UTC (4,285 KB) Full-text links: Access Paper: View a PDF of the paper titled An Operational Framework for Nonclassicality in Quantum Communication Networks, by Brian Doolittle and 2 other authors View PDF TeX Source view license Current browse context: quant-ph < prev | next > new | recent | 2024-03 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... 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