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General Monogamy Relation between Information-Theoretic Contextuality Inequalities

Quantum Physics 2015-02-05 v1

Abstract

We show that the perfect commutation graph is the sufficient tight condition for admitting the noncontextual description of each observable set satisfying it in the yes-no question scenario. With this condition, we propose a method for proving the monogamy relation between two informationtheoretic contextuality inequalities by decomposing the total commutation graph into perfect subgraphs. The results offer a powerful tool to investigate the contextuality and to understand quantum information theory. This theoretical work can be experimentally verified in current laboratorial technology.

Keywords

Cite

@article{arxiv.1502.01098,
  title  = {General Monogamy Relation between Information-Theoretic Contextuality Inequalities},
  author = {Feng Zhu and Wei Zhang and Yidong Huang},
  journal= {arXiv preprint arXiv:1502.01098},
  year   = {2015}
}
R2 v1 2026-06-22T08:21:30.748Z