Proposal for a cumulant-based Bell test for mesoscopic junctions

Details Proposal for a cumulant-based Bell test for mesoscopic junctions Proposal for a cumulant-based Bell test for mesoscopic junctions

2010-06-25

arxiv.org/abs/1006.4991v3

Phys. Rev. B 83, 125304 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1103/PhysRevB.83.125304

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

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