Optimization of ultrafine entanglement witnesses

Shu-Qian Shen, Ti-Run Xu, Shao-Ming Fei, Xianqing Li-Jost, and Ming Li

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Submission date: 06. Feb. 2018
Pages: 10
published in: Physical review / A, 97 (2018) 3, art-no. 032343 
DOI number (of the published article): 10.1103/PhysRevA.97.032343
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Abstract:
Recently, the ultrafine entanglement witness was introduced in [F. Shahandeh, M. Ringbauer, J.C. Loredo, and T.C. Ralph, Phys. Rev. Lett. 118, 110502 (2017)], which can seamlessly and easily improve any standard entanglement witness. In this paper, by the combining the constraint and the test operators, we rotate the hyperplane determined by the test operator and improve further the original ultrafine entanglement witness. We present a series of new ultrafine entanglement witnesses, which can detect entangled states that the original ultrafine entanglement witnesses cannot detect.