Percolation Theories for Quantum Networks

Quantum networks have experienced rapid advancements in both theoretical and experimental domains over the last decade, making it increasingly important to understand their large-scale features from the viewpoint of statistical physics. This review paper discusses a fundamental question: how can ent...
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Autor*in:	Xiangyi Meng [verfasserIn] Xinqi Hu [verfasserIn] Yu Tian [verfasserIn] Gaogao Dong [verfasserIn] Renaud Lambiotte [verfasserIn] Jianxi Gao [verfasserIn] Shlomo Havlin [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	percolation quantum network entanglement distribution critical phenomena networks of networks hypergraph

Übergeordnetes Werk:	In: Entropy - MDPI AG, 2003, 25(2023), 11, p 1564
Übergeordnetes Werk:	volume:25 ; year:2023 ; number:11, p 1564

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/e25111564

Katalog-ID:	DOAJ101248717

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allfieldsSound	10.3390/e25111564 doi (DE-627)DOAJ101248717 (DE-599)DOAJ8e979cb3d1854334ae2e8fad03c0b261 DE-627 ger DE-627 rakwb eng QB460-466 QC1-999 Xiangyi Meng verfasserin aut Percolation Theories for Quantum Networks 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Quantum networks have experienced rapid advancements in both theoretical and experimental domains over the last decade, making it increasingly important to understand their large-scale features from the viewpoint of statistical physics. This review paper discusses a fundamental question: how can entanglement be effectively and indirectly (e.g., through intermediate nodes) distributed between distant nodes in an imperfect quantum network, where the connections are only partially entangled and subject to quantum noise? We survey recent studies addressing this issue by drawing exact or approximate mappings to percolation theory, a branch of statistical physics centered on network connectivity. Notably, we show that the classical percolation frameworks do not uniquely define the network’s indirect connectivity. This realization leads to the emergence of an alternative theory called “concurrence percolation”, which uncovers a previously unrecognized quantum advantage that emerges at large scales, suggesting that quantum networks are more resilient than initially assumed within classical percolation contexts, offering refreshing insights into future quantum network design. percolation quantum network entanglement distribution critical phenomena networks of networks hypergraph Science Q Astrophysics Physics Xinqi Hu verfasserin aut Yu Tian verfasserin aut Gaogao Dong verfasserin aut Renaud Lambiotte verfasserin aut Jianxi Gao verfasserin aut Shlomo Havlin verfasserin aut In Entropy MDPI AG, 2003 25(2023), 11, p 1564 (DE-627)316340359 (DE-600)2014734-X 10994300 nnns volume:25 year:2023 number:11, p 1564 https://doi.org/10.3390/e25111564 kostenfrei https://doaj.org/article/8e979cb3d1854334ae2e8fad03c0b261 kostenfrei https://www.mdpi.com/1099-4300/25/11/1564 kostenfrei https://doaj.org/toc/1099-4300 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 25 2023 11, p 1564
language	English
source	In Entropy 25(2023), 11, p 1564 volume:25 year:2023 number:11, p 1564
sourceStr	In Entropy 25(2023), 11, p 1564 volume:25 year:2023 number:11, p 1564
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	percolation quantum network entanglement distribution critical phenomena networks of networks hypergraph Science Q Astrophysics Physics
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container_title	Entropy
authorswithroles_txt_mv	Xiangyi Meng @@aut@@ Xinqi Hu @@aut@@ Yu Tian @@aut@@ Gaogao Dong @@aut@@ Renaud Lambiotte @@aut@@ Jianxi Gao @@aut@@ Shlomo Havlin @@aut@@
publishDateDaySort_date	2023-01-01T00:00:00Z
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author	Xiangyi Meng
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title	Percolation Theories for Quantum Networks
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title_auth	Percolation Theories for Quantum Networks
abstract	Quantum networks have experienced rapid advancements in both theoretical and experimental domains over the last decade, making it increasingly important to understand their large-scale features from the viewpoint of statistical physics. This review paper discusses a fundamental question: how can entanglement be effectively and indirectly (e.g., through intermediate nodes) distributed between distant nodes in an imperfect quantum network, where the connections are only partially entangled and subject to quantum noise? We survey recent studies addressing this issue by drawing exact or approximate mappings to percolation theory, a branch of statistical physics centered on network connectivity. Notably, we show that the classical percolation frameworks do not uniquely define the network’s indirect connectivity. This realization leads to the emergence of an alternative theory called “concurrence percolation”, which uncovers a previously unrecognized quantum advantage that emerges at large scales, suggesting that quantum networks are more resilient than initially assumed within classical percolation contexts, offering refreshing insights into future quantum network design.
abstractGer	Quantum networks have experienced rapid advancements in both theoretical and experimental domains over the last decade, making it increasingly important to understand their large-scale features from the viewpoint of statistical physics. This review paper discusses a fundamental question: how can entanglement be effectively and indirectly (e.g., through intermediate nodes) distributed between distant nodes in an imperfect quantum network, where the connections are only partially entangled and subject to quantum noise? We survey recent studies addressing this issue by drawing exact or approximate mappings to percolation theory, a branch of statistical physics centered on network connectivity. Notably, we show that the classical percolation frameworks do not uniquely define the network’s indirect connectivity. This realization leads to the emergence of an alternative theory called “concurrence percolation”, which uncovers a previously unrecognized quantum advantage that emerges at large scales, suggesting that quantum networks are more resilient than initially assumed within classical percolation contexts, offering refreshing insights into future quantum network design.
abstract_unstemmed	Quantum networks have experienced rapid advancements in both theoretical and experimental domains over the last decade, making it increasingly important to understand their large-scale features from the viewpoint of statistical physics. This review paper discusses a fundamental question: how can entanglement be effectively and indirectly (e.g., through intermediate nodes) distributed between distant nodes in an imperfect quantum network, where the connections are only partially entangled and subject to quantum noise? We survey recent studies addressing this issue by drawing exact or approximate mappings to percolation theory, a branch of statistical physics centered on network connectivity. Notably, we show that the classical percolation frameworks do not uniquely define the network’s indirect connectivity. This realization leads to the emergence of an alternative theory called “concurrence percolation”, which uncovers a previously unrecognized quantum advantage that emerges at large scales, suggesting that quantum networks are more resilient than initially assumed within classical percolation contexts, offering refreshing insights into future quantum network design.
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title_short	Percolation Theories for Quantum Networks
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