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Nonlinear Improvement of Qubit-qudit Entanglement Witnesses

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arxiv 2001.05269 v1 pith:BVQX2BFX submitted 2020-01-15 quant-ph

Shu-Qian Shen , Jin-Min Liang , Ming Li , Juan Yu , Shao-Ming Fei This is my paper · ORCID
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keywords entanglementimprovementnonlinearwitnesswitnessesapplicablecomparedcriterion
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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.

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