English

Complete list of Bell inequalities with four binary settings

Quantum Physics 2019-02-13 v1

Abstract

We give the complete list of 175 facet Bell inequalities for the case where Alice and Bob each choose their measurements from a set of four binary outcome measurements. For each inequality we compute the maximum quantum violation for qubits, the resistance to noise, and the minimal detection efficiency required for closing the detection loophole with maximally entangled qubit states, in the case where both detectors have the same efficiency (symmetric case).

Keywords

Cite

@article{arxiv.1811.11820,
  title  = {Complete list of Bell inequalities with four binary settings},
  author = {E. Zambrini Cruzeiro and N. Gisin},
  journal= {arXiv preprint arXiv:1811.11820},
  year   = {2019}
}

Comments

A file with the coefficients for all 4422 inequalities will be provided along with the publication

R2 v1 2026-06-23T06:24:15.538Z