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Main Authors: Guo, Yu, Lin, Lijinzhi, Cao, Huan, Zhang, Chao, Lin, Xiaodie, Hu, Xiao-Min, Liu, Bi-Heng, Huang, Yun-Feng, Wei, Zhaohui, Han, Yong-Jian, Li, Chuan-Feng, Guo, Guang-Can
Format: Preprint
Published: 2020
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Online Access:https://arxiv.org/abs/2010.09442
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author Guo, Yu
Lin, Lijinzhi
Cao, Huan
Zhang, Chao
Lin, Xiaodie
Hu, Xiao-Min
Liu, Bi-Heng
Huang, Yun-Feng
Wei, Zhaohui
Han, Yong-Jian
Li, Chuan-Feng
Guo, Guang-Can
author_facet Guo, Yu
Lin, Lijinzhi
Cao, Huan
Zhang, Chao
Lin, Xiaodie
Hu, Xiao-Min
Liu, Bi-Heng
Huang, Yun-Feng
Wei, Zhaohui
Han, Yong-Jian
Li, Chuan-Feng
Guo, Guang-Can
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2010_09442
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publishDate 2020
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spellingShingle Experimental Entanglement Quantification for Unknown Quantum States in a Semi-Device-Independent Manner
Guo, Yu
Lin, Lijinzhi
Cao, Huan
Zhang, Chao
Lin, Xiaodie
Hu, Xiao-Min
Liu, Bi-Heng
Huang, Yun-Feng
Wei, Zhaohui
Han, Yong-Jian
Li, Chuan-Feng
Guo, Guang-Can
Quantum Physics
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.
title Experimental Entanglement Quantification for Unknown Quantum States in a Semi-Device-Independent Manner
topic Quantum Physics
url https://arxiv.org/abs/2010.09442