Experimental Entanglement Quantification for Unknown Quantum States in a Semi-Device-Independent Manner

• URL: http://arxiv.org/abs/2010.09442v1
• Date: Mon, 19 Oct 2020 12:54:25 GMT
• Title: Experimental Entanglement Quantification for Unknown Quantum States in a Semi-Device-Independent Manner
• Authors: Yu Guo, Lijinzhi Lin, Huan Cao, Chao Zhang, Xiaodie Lin, Xiao-Min Hu, Bi-Heng Liu, Yun-Feng Huang, Zhaohui Wei, Yong-Jian Han, Chuan-Feng Li, and Guang-Can Guo
• Abstract summary: We show that quantum entanglement can be quantified for any unknown quantum states in a semi-device-independent manner. We experimentally quantify the entanglement of formation and the entanglement of distillation for qutrit-qutrit quantum systems.
• Score: 5.3331673690188
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Using the concept of non-degenerate Bell inequality, we show that quantum entanglement, the critical resource for various quantum information processing tasks, can be quantified for any unknown quantum states in a semi-device-independent manner, where the quantification is based on the experimentally obtained probability distribution and beforehand knowledge on quantum dimension only. Specifically, as an application of our approach on multi-level systems, we experimentally quantify the entanglement of formation and the entanglement of distillation for qutrit-qutrit quantum systems. In addition, to demonstrate our approach for multi-partite systems, we further quantify the geometry measure of entanglement of three-qubit quantum systems. Our results supply a general way to reliably quantify entanglement in multi-level and multi-partite systems, thus paving the way to characterize many-body quantum systems by quantifying involved entanglement.

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