Experimental entanglement quantification for unknown quantum states in a semi-device-independent manner

Using the concept of non-degenerate Bell inequality, we show that quantum entanglement, critical resource for various information processing tasks, can be quantified any unknown state in a semi-device-independent manner, where quantification is based on experimentally obtained probability distributions and prior knowledge dimension only. Specifically, as an application our approach to multi-level systems, quantify entanglement formation distillation qutrit-qutrit systems. In addition, demonstrate multi-partite further geometric measure three-qubit Our results supply general way reliably thus paving characterize many-body systems by quantifying involved entanglement.