English

Proposal for a cumulant-based Bell test for mesoscopic junctions

Mesoscale and Nanoscale Physics 2011-03-22 v3 Quantum Physics

Abstract

The creation and detection of entanglement in solid state electronics is of fundamental importance for quantum information processing. We prove that second-order quantum correlations can be always interpreted classically and propose a general test of entanglement based on the violation of a classically derived inequality for continuous variables by fourth-order quantum correlation functions. Our scheme provides a way to prove the existence of entanglement in a mesoscopic transport setup by measuring higher order cumulants without requiring the additional assumption of a single charge detection

Keywords

Cite

@article{arxiv.1006.4991,
  title  = {Proposal for a cumulant-based Bell test for mesoscopic junctions},
  author = {Adam Bednorz and Wolfgang Belzig},
  journal= {arXiv preprint arXiv:1006.4991},
  year   = {2011}
}

Comments

6 pages, 1 figure, detailed proof of weak positivity and Bell-type inequality

R2 v1 2026-06-21T15:41:01.394Z