Graph Structured Operator Inequalities and Tsirelson-Type Bounds
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911583369691136 |
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| author | Tian, James |
| author_facet | Tian, James |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01525 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Graph Structured Operator Inequalities and Tsirelson-Type Bounds Tian, James Quantum Physics Functional Analysis Primary 81P45, Secondary 15A60, 47A30, 47A63 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. |
| title | Graph Structured Operator Inequalities and Tsirelson-Type Bounds |
| topic | Quantum Physics Functional Analysis Primary 81P45, Secondary 15A60, 47A30, 47A63 |
| url | https://arxiv.org/abs/2511.01525 |