Creating quantum correlations in generalized entanglement swapping

Pratapaditya Bej, Arkaprabha Ghosal, Arup Roy, Shiladitya Mal, and Debarshi Das
Phys. Rev. A 106, 022428 – Published 23 August 2022

Abstract

We study how different types of quantum correlations can be established as the consequence of a generalized entanglement swapping protocol where, starting from two Bell pairs (1,2) and (3,4), a general quantum measurement [denoted by a positive operator-valued measure (POVM)] is performed on the pair (2,3), which results in creating quantum correlation in (1,4) shared between two spatially separated observers. Contingent upon using different kinds of POVMs, we show generation or destruction of different quantum correlations in the pairs (1,4), (1,2), and (3,4). This thus reflects nontrivial transfer of quantum correlations from the pairs (1,2) and (3,4) to the pair (1,4). As an offshoot, this paper provides an operational tool to generate different types of single parameter families of quantum correlated states [for example, entangled but not Einstein-Podolsky-Rosen (EPR) steerable, or EPR steerable but not Bell nonlocal, or Bell nonlocal] by choosing different quantum measurements in the basic entanglement swapping setup. We further extend our paper by taking mixed initial states shared by the pairs (1,2) and (3,4). Finally, we study network nonlocality in our scenario. Here, we find the appropriate POVM measurement for which the generated correlation demonstrates or does not demonstrate network nonlocality for the whole range of the measurement parameter.

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  • Received 15 October 2021
  • Revised 4 July 2022
  • Accepted 11 August 2022

DOI:https://doi.org/10.1103/PhysRevA.106.022428

©2022 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Pratapaditya Bej1,*, Arkaprabha Ghosal1,†, Arup Roy2,‡, Shiladitya Mal3,4,5,§, and Debarshi Das6,7,∥

  • 1Department of Physics and Center for Astroparticle Physics and Space Science, Bose Institute, EN Block, Sector V, Saltlake, Kolkata 700091, India
  • 2Department of Physics, A B N Seal College, Cooch Behar, West Bengal 736 101, India
  • 3Harish-Chandra Research Institute and HBNI, Chhatnag Road, Jhunsi, Allahabad 211019, India
  • 4Department of Physics and Center for Quantum Frontiers of Research and Technology (QFort), National Cheng Kung University, Tainan 701, Taiwan
  • 5Physics Division, National Center for Theoretical Sciences, Taipei 10617, Taiwan
  • 6S. N. Bose National Centre for Basic Sciences, Block JD, Sector III, Salt Lake, Kolkata 700 106, India
  • 7Department of Physics and Astronomy, University College London, Gower Street, WC1E 6BT London, England, United Kingdom

  • *pratap6906@gmail.com
  • a.ghosal1993@gmail.com
  • arup145.roy@gmail.com
  • §shiladitya.27@gmail.com
  • dasdebarshi90@gmail.com

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Issue

Vol. 106, Iss. 2 — August 2022

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