Graph Structured Operator Inequalities and Tsirelson-Type Bounds

• URL: http://arxiv.org/abs/2511.01525v1
• Date: Mon, 03 Nov 2025 12:41:00 GMT
• Title: Graph Structured Operator Inequalities and Tsirelson-Type Bounds
• Authors: James Tian,
• Abstract summary: inequalities generalize the analytic structure underlying the Tsirelson and CHSH bounds.<n>A graph based formulation captures sparse interaction patterns via constants depending only on graph connectivity.<n>Results link analytic operator inequalities with quantum information settings such as Bell correlations and network nonlocality.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We establish operator norm bounds for bipartite tensor sums of self-adjoint contractions. The inequalities generalize the analytic structure underlying the Tsirelson and CHSH bounds, giving dimension-free estimates expressed through commutator and anticommutator norms. A graph based formulation captures sparse interaction patterns via constants depending only on graph connectivity. The results link analytic operator inequalities with quantum information settings such as Bell correlations and network nonlocality, offering closed-form estimates that complement semidefinite and numerical methods.

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