Bounding the Sets of Classical and Quantum Correlations in Networks

Alejandro Pozas-Kerstjens, Rafael Rabelo, Łukasz Rudnicki, Rafael Chaves, Daniel Cavalcanti, Miguel Navascués, and Antonio Acín
Phys. Rev. Lett. 123, 140503 – Published 3 October 2019

Abstract

We present a method that allows the study of classical and quantum correlations in networks with causally independent parties, such as the scenario underlying entanglement swapping. By imposing relaxations of factorization constraints in a form compatible with semidefinite programing, it enables the use of the Navascués-Pironio-Acín hierarchy in complex quantum networks. We first show how the technique successfully identifies correlations not attainable in the entanglement-swapping scenario. Then we use it to show how the nonlocal power of measurements can be activated in a network: there exist measuring devices that, despite being unable to generate nonlocal correlations in the standard Bell scenario, provide a classical-quantum separation in an entanglement swapping configuration.

  • Figure
  • Received 27 March 2019

DOI:https://doi.org/10.1103/PhysRevLett.123.140503

© 2019 American Physical Society

Physics Subject Headings (PhySH)

NetworksQuantum Information, Science & Technology

Authors & Affiliations

Alejandro Pozas-Kerstjens1, Rafael Rabelo2, Łukasz Rudnicki3,4,5, Rafael Chaves6,7, Daniel Cavalcanti1, Miguel Navascués8, and Antonio Acín1,9

  • 1ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain
  • 2Instituto de Fisica “Gleb Wataghin,” Universidade Estadual de Campinas, CEP 13083-859, Campinas, Brazil
  • 3International Centre for Theory of Quantum Technologies (ICTQT), University of Gdańsk, 80-308 Gdańsk, Poland
  • 4Max-Planck-Institut für die Physik des Lichts, Staudtstraße 2, 91058 Erlangen, Germany
  • 5Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotników 32/46, 02-668 Warsaw, Poland
  • 6International Institute of Physics, Universidade Federal do Rio Grande do Norte, Campus Universitario, Lagoa Nova, Natal-RN 59078-970, Brazil
  • 7School of Science and Technology, Federal University of Rio Grande do Norte, 59078-970 Natal, Brazil
  • 8Institute for Quantum Optics and Quantum Information (IQOQI) Vienna, Austrian Academy of Sciences, Boltzmanngasse 3, 1090 Vienna, Austria
  • 9ICREA, Pg. Lluis Companys 23, 08010 Barcelona, Spain

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Issue

Vol. 123, Iss. 14 — 4 October 2019

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