Detecting entanglement of unknown quantum states with random measurements

Jochen Szangolies, Hermann Kampermann, Dagmar Bruß · New Journal of Physics · 2015

In quantum information theory, the reliable and effective detection of entanglement is of paramount importance. However, given an unknown state, assessing its entanglement is a challenging task. To attack this problem, we investigate the use of random local measurements, from which entanglement witnesses are then constructed via semidefinite programming methods. We propose a scheme of successively increasing the number of measurements until the presence of entanglement can be unambiguously concluded, and investigate its performance in various examples.

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