English

Contextuality in bosonic bunching

Quantum Physics 2015-06-16 v1

Abstract

We show that under certain assumptions one can derive a variant of Specker's non-contextual inequality for a system of three indistinguishable bosonic particles. The inequality states that the sum of probabilities of three pairwise exclusive events is bounded by one. This inequality cannot be violated using standard quantum mechanical projectors. On the other hand, due to bosonic properties this bound is violated up to 3/2. We also argue that the violation of this inequality can be considered as a test of bosonic nature.

Keywords

Cite

@article{arxiv.1306.3700,
  title  = {Contextuality in bosonic bunching},
  author = {Pawel Kurzynski and Akihito Soeda and Jayne Thompson and Dagomir Kaszlikowski},
  journal= {arXiv preprint arXiv:1306.3700},
  year   = {2015}
}

Comments

4 pages, 1 figure, extended version of arXiv:1211.6907, discussion includes response to arXiv:1212.5502

R2 v1 2026-06-22T00:34:35.967Z