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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

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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We establish operator norm bounds for bipartite tensor sums of self-adjoint contractions.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2511.01525 [2] arXiv https://arxiv.org/abs/2511.01525 [3] Publisher https://arxiv.org/abs/2511.01525

Local Citation Graph (Related-Paper Links)

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External citation index: OpenAlex citation signal • updated 2026-06-20 10:34:03

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