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Title: Long-distance entanglement generation in two-dimensional networks

Journal Article · · Physical Review. A
 [1];  [2];  [1]
  1. Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU (United Kingdom)
  2. Centre for Quantum Technologies, National University of Singapore, 117543 (Singapore)

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.

OSTI ID:
21450744
Journal Information:
Physical Review. A, Vol. 82, Issue 4; Other Information: DOI: 10.1103/PhysRevA.82.042326; (c) 2010 The American Physical Society; ISSN 1050-2947
Country of Publication:
United States
Language:
English

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