English

Optimal discrimination between real and complex quantum theories

Quantum Physics 2022-10-13 v2

Abstract

We find the minimal number of settings to test quantum theory based on real numbers, assuming separability of the sources, modifying the recent proposal [M.-O. Renou et al., Nature 600, 625 (2021)]. The test needs only three settings for observers AA and CC, but the ratio of complex to real maximum is smaller than in the existing proposal. We also found that two settings and two outcomes for both observes are insufficient.

Keywords

Cite

@article{arxiv.2206.02212,
  title  = {Optimal discrimination between real and complex quantum theories},
  author = {Adam Bednorz and Josep Batle},
  journal= {arXiv preprint arXiv:2206.02212},
  year   = {2022}
}

Comments

7 pages, 4 figures, MATLAB script in anciliary files

R2 v1 2026-06-24T11:39:44.328Z