Multipartite entanglement analysis from random correlations
Quantum entanglement is usually revealed via a well aligned, carefully chosen set of measurements. Yet, under a number of experimental conditions, for example in communication within multiparty quantum networks, noise along the channels or fluctuating orientations of reference frames may ruin the qu...
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sg-ntu-dr.10356-1465962023-02-28T19:55:25Z Multipartite entanglement analysis from random correlations Knips, Lukas Dziewior, Jan Kłobus, Waldemar Laskowski, Wiesław Paterek, Tomasz Shadbolt, Peter J. Weinfurter, Harald Meinecke, Jasmin D. A. School of Physical and Mathematical Sciences Majulab @ NTU Science::Mathematics Quantum Information Quantum Mechanics Quantum entanglement is usually revealed via a well aligned, carefully chosen set of measurements. Yet, under a number of experimental conditions, for example in communication within multiparty quantum networks, noise along the channels or fluctuating orientations of reference frames may ruin the quality of the distributed states. Here, we show that even for strong fluctuations one can still gain detailed information about the state and its entanglement using random measurements. Correlations between all or subsets of the measurement outcomes and especially their distributions provide information about the entanglement structure of a state. We analytically derive an entanglement criterion for two-qubit states and provide strong numerical evidence for witnessing genuine multipartite entanglement of three and four qubits. Our methods take the purity of the states into account and are based on only the second moments of measured correlations. Extended features of this theory are demonstrated experimentally with four photonic qubits. As long as the rate of entanglement generation is sufficiently high compared to the speed of the fluctuations, this method overcomes any type and strength of localized unitary noise. Ministry of Education (MOE) Published version We thank Otfried Gühne, Felix Huber, and Nikolai Wyderka for fruitful discussions. This research was supported by the DFG (Germany) and NCN (Poland) within the joint funding initiative “Beethoven 2” (2016/23/G/ST2/04273, 381445721), and by the DFG under Germany’s Excellence Strategy EXC-2111 390814868. We acknowledge the Singapore Ministry of Education Academic Research Fund Tier 2, Project No. MOE2015-T2-2-034. W.L. acknowledges partial support from the Foundation for Polish Science (IRAP project ICTQT, Contract No. 2018/MAB/5, cofinanced by EU via Smart Growth Operational Programme). T.P. is supported by the Polish National Agency for Academic Exchange NAWA Project No. PPN/PPO/2018/1/00007/U/00001. J.D. and L.K. acknowledge support from the PhD programs IMPRS-QST and ExQM, respectively. 2021-03-02T07:05:10Z 2021-03-02T07:05:10Z 2020 Journal Article Knips, L., Dziewior, J., Kłobus, W., Laskowski, W., Paterek, T., Shadbolt, P. J., . . . Meinecke, J. D. A. (2020). Multipartite entanglement analysis from random correlations. npj Quantum Information, 6(1), 51-. doi:10.1038/s41534-020-0281-5 2056-6387 0000-0002-7404-1708 0000-0001-5166-0373 https://hdl.handle.net/10356/146596 10.1038/s41534-020-0281-5 2-s2.0-85086143845 1 6 en MOE2015-T2-2-034 npj Quantum Information © 2020 The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/. application/pdf |
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Science::Mathematics Quantum Information Quantum Mechanics Knips, Lukas Dziewior, Jan Kłobus, Waldemar Laskowski, Wiesław Paterek, Tomasz Shadbolt, Peter J. Weinfurter, Harald Meinecke, Jasmin D. A. Multipartite entanglement analysis from random correlations |
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Quantum entanglement is usually revealed via a well aligned, carefully chosen set of measurements. Yet, under a number of experimental conditions, for example in communication within multiparty quantum networks, noise along the channels or fluctuating orientations of reference frames may ruin the quality of the distributed states. Here, we show that even for strong fluctuations one can still gain detailed information about the state and its entanglement using random measurements. Correlations between all or subsets of the measurement outcomes and especially their distributions provide information about the entanglement structure of a state. We analytically derive an entanglement criterion for two-qubit states and provide strong numerical evidence for witnessing genuine multipartite entanglement of three and four qubits. Our methods take the purity of the states into account and are based on only the second moments of measured correlations. Extended features of this theory are demonstrated experimentally with four photonic qubits. As long as the rate of entanglement generation is sufficiently high compared to the speed of the fluctuations, this method overcomes any type and strength of localized unitary noise. |
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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Knips, Lukas Dziewior, Jan Kłobus, Waldemar Laskowski, Wiesław Paterek, Tomasz Shadbolt, Peter J. Weinfurter, Harald Meinecke, Jasmin D. A. |
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Article |
author |
Knips, Lukas Dziewior, Jan Kłobus, Waldemar Laskowski, Wiesław Paterek, Tomasz Shadbolt, Peter J. Weinfurter, Harald Meinecke, Jasmin D. A. |
author_sort |
Knips, Lukas |
title |
Multipartite entanglement analysis from random correlations |
title_short |
Multipartite entanglement analysis from random correlations |
title_full |
Multipartite entanglement analysis from random correlations |
title_fullStr |
Multipartite entanglement analysis from random correlations |
title_full_unstemmed |
Multipartite entanglement analysis from random correlations |
title_sort |
multipartite entanglement analysis from random correlations |
publishDate |
2021 |
url |
https://hdl.handle.net/10356/146596 |
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1759853483008196608 |