Many-qutrit Mermin inequalities with three measurement settings

Jay Lawrence

Many-qutrit Mermin inequalities with three measurement settings

Quantum Physics 2020-01-20 v2

Authors: Jay Lawrence

Abstract

Mermin inequalities are derived for systems of three-state particles (qutrits) employing three local measurement settings. These establish perfect correlations which violate local realistic bounds more strongly than those previously reported with two bases. The quantum eigenvalue of the Mermin operator grows as the dimension of the Hilbert space, $3^N$ , rather than $2^N$ , as obtained with two measurement bases. The number of distinct GHZ contradictions also increases as $3^N$ .

Keywords

mermin inequalities qutrits local realism ghz contradiction quantum correlations hilbert space

Cite

@article{arxiv.1910.05869,
  title  = {Many-qutrit Mermin inequalities with three measurement settings},
  author = {Jay Lawrence},
  journal= {arXiv preprint arXiv:1910.05869},
  year   = {2020}
}

Comments

11 pages, 2 figures. Conclusions extended to include a count of related GHZ contradictions. References (14-17) added with further discussion of Bell inequalities

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