Enhancement of entanglement percolation in quantum networks via lattice transformations

G. John Lapeyre, Jr., Jan Wehr, and Maciej Lewenstein
Phys. Rev. A 79, 042324 – Published 17 April 2009

Abstract

We study strategies for establishing long-distance entanglement in quantum networks. Specifically, we consider networks consisting of regular lattices of nodes, in which the nearest neighbors share a pure but nonmaximally entangled pair of qubits. We look for strategies that use local operations and classical communication. We compare the classical entanglement percolation protocol, in which every network connection is converted with a certain probability to a singlet, with protocols in which classical entanglement percolation is preceded by measurements designed to transform the lattice structure in a way that enhances entanglement percolation. We analyze five examples of such comparisons between protocols, and point out certain rules and regularities in their performance as a function of degree of entanglement and choice of operations.

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  • Received 19 July 2008

DOI:https://doi.org/10.1103/PhysRevA.79.042324

©2009 American Physical Society

Authors & Affiliations

G. John Lapeyre, Jr.*

  • ICFO-Institut de Ciències Fotòniques, Mediterranean Technology Park, E-08860 Castelldefels, Barcelona, Spain

Jan Wehr

  • Department of Mathematics, The University of Arizona, Tucson, Arizona 85721-0089, USA

Maciej Lewenstein

  • ICFO-Institut de Ciències Fotòniques, Mediterranean Technology Park, E-08860 Castelldefels, Barcelona, Spain and ICREA-Institució Catalana de Recerca i Estudis Avançats, Lluis Companys 23, 08010 Barcelona, Spain

  • *lapeyre@physics.arizona.edu

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Issue

Vol. 79, Iss. 4 — April 2009

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