Issue
EPL
Volume 88, Number 5, December 2009
Article Number 50002
Number of page(s) 6
Section General
DOI http://dx.doi.org/10.1209/0295-5075/88/50002
Published online 11 December 2009
EPL, 88 (2009) 50002
DOI: 10.1209/0295-5075/88/50002

Entanglement percolation with bipartite mixed states

S. Broadfoot1, U. Dorner1 and D. Jaksch1, 2

1   Clarendon Laboratory, University of Oxford - Parks Road, Oxford OX1 3PU, UK, EU
2   Centre for Quantum Technologies, National University of Singapore - 117543 Singapore

U.Dorner1@physics.ox.ac.uk

received 13 July 2009; accepted in final form 12 November 2009; published December 2009
published online 11 December 2009

Abstract
We develop a concept of entanglement percolation for long-distance singlet generation in quantum networks with neighboring nodes connected by partially entangled bipartite mixed states. We give a necessary and sufficient condition on the class of mixed network states for the generation of singlets. States beyond this class are insufficient for entanglement percolation. We find that neighboring nodes are required to be connected by multiple partially entangled states and devise a rich variety of distillation protocols for the conversion of these states into singlets. These distillation protocols are suitable for a variety of network geometries and have a sufficiently high success probability even for significantly impure states. In addition to this, we discuss possible further improvements achievable by using quantum strategies including generalized forms of entanglement swapping.

PACS
03.67.Bg - Entanglement production and manipulation.
03.67.-a - Quantum information.
64.60.ah - Percolation.

© EPLA 2009