20.04.21 - IRTG Seminar: Andreas Ketterer "Entanglement characterization with randomized measurements"

 
The presence of multiparticle entanglement is an important benchmark for the performance of emerging quantum technologies which are inherently subject to several sources of noise.  In this talk I will present a statistical approach for the characterization of multiparticle entanglement based on moments of correlation functions obtained from measurements in locally randomized bases [1]. The latter have recently been shown to relate to relevant properties of the underlying state, such as its purity, enabling the experimental investigation of bipartite entanglement between different parts of a many-body system [2]. Going beyond this framework, I will show how to use the framework of randomized measurements to characterize different types of multiparticle entanglement. Further on, I will discuss a rigorous approach for the estimation of the involved moments and the their statistical errors based on finite measurement samples [3].

 

[1] A. Ketterer, N. Wyderka, and O. Gühne, Phys. Rev. Lett. 122, 120505 (2019).
[2] T. Brydges, A. Elben, P. Jurcevic et al., Science 364, 260 (2019).
[3] A. Ketterer, S. Imai, N. Wyderka, and O. Gühne, arXiv:2012.12176.