Preprint 20/2020

Nonlinear Improvement of Qubit-qudit Entanglement Witnesses

Shu-Qian Shen, Jin-Min Liang, Ming Li, Juan Yu, and Shao-Ming Fei

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Submission date: 02. Feb. 2020
Pages: 13
published in: Physical review / A, 101 (2020) 1, art-no. 012312 
DOI number (of the published article): 10.1103/PhysRevA.101.012312
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The entanglement witness is an important and experimentally applicable tool for entanglement detection. In this paper, we provide a strictly nonlinear improvement of any entanglement witness for 2 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.

06.02.2020, 11:32