Proposal for a cumulant-based Bell test for mesoscopic junctions

Adam Bednorz and Wolfgang Belzig
Phys. Rev. B 83, 125304 – Published 17 March 2011

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.

  • Figure
  • Received 28 January 2011

DOI:https://doi.org/10.1103/PhysRevB.83.125304

©2011 American Physical Society

Authors & Affiliations

Adam Bednorz1,2,* and Wolfgang Belzig1

  • 1Fachbereich Physik, Universität Konstanz, D-78457 Konstanz, Germany
  • 2Faculty of Physics, University of Warsaw, Hoża 69, PL-00681 Warsaw, Poland

  • *adam.bednorz@fuw.edu.pl

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Vol. 83, Iss. 12 — 15 March 2011

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