Statistical analysis of testing of an entangled state based on the Poisson distribution framework
Masahito Hayashi, Akihisa Tomita, Keiji Matsumoto · New Journal of Physics · 2008
A hypothesis testing scheme for entanglement has been formulated based on the Poisson distribution framework instead of the positive operator valued measure (POVM) framework. Three designs were proposed to test the entangled states in this framework. The designs were evaluated in terms of the asymptotic variance. It has been shown that the optimal time allocation between the coincidence and anti-coincidence measurement bases improves the conventional testing method. The test can be further improved by optimizing the time allocation between the anti-coincidence bases.