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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Main Authors: Broadfoot, S, Dorner, U, Jaksch, D
Format: Journal article
Language:English
Published: 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.
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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