Proposal for a cumulant-based Bell test for mesoscopic junctions
arXiv:1006.4991 · doi:10.1103/PhysRevB.83.125304
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
6 pages, 1 figure, detailed proof of weak positivity and Bell-type inequality
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