Nonlinear Improvement of Qubit-qudit Entanglement Witnesses

Abstract

The entanglement witness is an important and experimentally applicable tool for entanglement detection. In this paper, we provide a nonlinear improvement of any entanglement witness for $2\otimes d$ quantum systems. Compared with any existing entanglement witness, the improved separability criterion only needs two more measurements on local observables. Detailed examples are employed to illustrate the efficiency of the nonlinear improvement for general, optimal and non-decomposable entanglement witnesses.

11 pages, 0 figures

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• Efficient nonlinear witnessing of non-absolutely separable states with lossy detectors
• Witness based nonlinear detection of quantum entanglement