Coherence and contextuality as quantum resources

• URL: http://arxiv.org/abs/2511.16785v1
• Date: Thu, 20 Nov 2025 20:22:52 GMT
• Title: Coherence and contextuality as quantum resources
• Authors: Rafael Wagner,
• Abstract summary: We explore the intersection of two fundamental subfields of quantum information theory: quantum coherence and contextuality.<n>By developing a novel graph-theoretic approach, we establish a formal connection between inequality-based witnesses of quantum coherence and noncontextuality inequalities.
• Score: 0.20305676256390934
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this thesis, we explore the intersection of two fundamental subfields of quantum information theory: quantum coherence and contextuality. Despite their apparent differences, both areas address key issues relevant to the foundations and applications of quantum theory. By developing a novel graph-theoretic approach, extending a framework recently introduced by Galvão and Brod (Phys. Rev. A 101, 062110, 2020), we establish a formal connection between inequality-based witnesses of quantum coherence and noncontextuality inequalities. Our key contributions include: the development of a graph-theoretic framework for generating coherence and contextuality witnesses; a formal mapping between the inequalities that follows from the work by Galvão and Brod to existing noncontextuality inequalities; the conceptualization of a relational form of quantum coherence; a proof of contextual advantage for the task of quantum interrogation; and the discovery of an infinite family of coherence witnesses that also require quantum states in Hilbert spaces of specific dimensions.

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