Long-distance entanglement generation in two-dimensional networks
We consider two-dimensional networks composed of nodes initially linked by two-qubit mixed states. In these networks we develop a global error correction scheme that can generate distance-independent entanglement from arbitrary network geometries using rank-2 states. By using this method and combini...
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Format: | Journal article |
Language: | English |
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2010
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author | Broadfoot, S Dorner, U Jaksch, D |
author_facet | Broadfoot, S Dorner, U Jaksch, D |
author_sort | Broadfoot, S |
collection | OXFORD |
description | We consider two-dimensional networks composed of nodes initially linked by two-qubit mixed states. In these networks we develop a global error correction scheme that can generate distance-independent entanglement from arbitrary network geometries using rank-2 states. By using this method and combining it with the concept of percolation, we also show that the generation of long-distance entanglement is possible with rank-3 states. Entanglement percolation and global error correction have different advantages depending on the given situation. To reveal the trade-off between them we consider their application to networks containing pure states. In doing so we find a range of pure-state schemes, each of which has applications in particular circumstances: For instance, we can identify a protocol for creating perfect entanglement between two distant nodes. However, this protocol cannot generate a singlet between any two nodes. In contrast, we can also construct schemes for creating entanglement between any nodes, but the corresponding entanglement fidelity is lower. © 2010 The American Physical Society. |
first_indexed | 2024-03-07T03:28:12Z |
format | Journal article |
id | oxford-uuid:b9c64ae5-b5f9-40ab-bf36-db0ada8ac495 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T03:28:12Z |
publishDate | 2010 |
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spelling | oxford-uuid:b9c64ae5-b5f9-40ab-bf36-db0ada8ac4952022-03-27T05:05:19ZLong-distance entanglement generation in two-dimensional networksJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b9c64ae5-b5f9-40ab-bf36-db0ada8ac495EnglishSymplectic Elements at Oxford2010Broadfoot, SDorner, UJaksch, DWe consider two-dimensional networks composed of nodes initially linked by two-qubit mixed states. In these networks we develop a global error correction scheme that can generate distance-independent entanglement from arbitrary network geometries using rank-2 states. By using this method and combining it with the concept of percolation, we also show that the generation of long-distance entanglement is possible with rank-3 states. Entanglement percolation and global error correction have different advantages depending on the given situation. To reveal the trade-off between them we consider their application to networks containing pure states. In doing so we find a range of pure-state schemes, each of which has applications in particular circumstances: For instance, we can identify a protocol for creating perfect entanglement between two distant nodes. However, this protocol cannot generate a singlet between any two nodes. In contrast, we can also construct schemes for creating entanglement between any nodes, but the corresponding entanglement fidelity is lower. © 2010 The American Physical Society. |
spellingShingle | Broadfoot, S Dorner, U Jaksch, D Long-distance entanglement generation in two-dimensional networks |
title | Long-distance entanglement generation in two-dimensional networks |
title_full | Long-distance entanglement generation in two-dimensional networks |
title_fullStr | Long-distance entanglement generation in two-dimensional networks |
title_full_unstemmed | Long-distance entanglement generation in two-dimensional networks |
title_short | Long-distance entanglement generation in two-dimensional networks |
title_sort | long distance entanglement generation in two dimensional networks |
work_keys_str_mv | AT broadfoots longdistanceentanglementgenerationintwodimensionalnetworks AT dorneru longdistanceentanglementgenerationintwodimensionalnetworks AT jakschd longdistanceentanglementgenerationintwodimensionalnetworks |