Conditional steering under the von Neumann scenario

Kaushiki Mukherjee, Biswajit Paul, Sumana Karmakar, Debasis Sarkar, Amit Mukherjee, Some Sankar Bhattacharya, and Arup Roy
Phys. Rev. A 96, 022122 – Published 16 August 2017

Abstract

In Phys. Lett. A 166, 293 (1992), Popescu and Rohrlich characterized nonlocality of pure n-partite entangled systems by studying bipartite violation of local realism when n2 number of parties perform projective measurements on their particles. A pertinent question in this scenario is whether similar characterization is possible for n-partite mixed entangled states also. In the present work we have followed an analogous approach so as to explore whether given a tripartite mixed entangled state the conditional bipartite states obtained by performing projective measurement on the third party demonstrate a weaker form of nonlocality, quantum steering. We also compare this phenomenon of conditional steering with existing notions of tripartite correlations.

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  • Received 7 December 2016
  • Revised 1 June 2017

DOI:https://doi.org/10.1103/PhysRevA.96.022122

©2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Quantum Information, Science & Technology

Authors & Affiliations

Kaushiki Mukherjee1,*, Biswajit Paul2,†, Sumana Karmakar3,‡, Debasis Sarkar3,§, Amit Mukherjee4,∥, Some Sankar Bhattacharya4,¶, and Arup Roy4,**

  • 1Department of Mathematics, Government Girls' General Degree College, Ekbalpore, Kolkata 700023, India
  • 2Department of Mathematics, South Malda College, Malda, West Bengal 732215, India
  • 3Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Kolkata 700009, India
  • 4Physics and Applied Mathematics Unit, Indian Statistical Institute, 203, B. T. Road, Kolkata 700108, India

  • *kaushiki_mukherjee@rediffmail.com
  • biswajitpaul4@gmail.com
  • sumanakarmakar88@gmail.com
  • §dsarkar1x@gmail.com, dsappmath@caluniv.ac.in
  • amitisiphys@gmail.com
  • somesankar@gmail.com
  • **arup145.roy@gmail.com

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Issue

Vol. 96, Iss. 2 — August 2017

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