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Open Quantum Systems Decoherence
Quantum Simulation
Entanglement Theory Quantum Correlations
Graph Structured Operator Inequalities and Tsirelson-Type Bounds
arXiv
Authors: James Tian
Year
2025
Paper ID
17707
Status
Preprint
Abstract Read
~2 min
Abstract Words
74
Citations
N/A
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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- We establish operator norm bounds for bipartite tensor sums of self-adjoint contractions.
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