Steering a single system sequentially by multiple observers

Souradeep Sasmal, Debarshi Das, Shiladitya Mal, and A. S. Majumdar
Phys. Rev. A 98, 012305 – Published 5 July 2018

Abstract

Quantum mechanics puts a restriction on the number of observers who can simultaneously steer another observer's system, known as the monogamy of steering. In this work, we find the limit of the number of observers (Bobs) who can steer another party's (Alice's) system, invoking a scenario where half of an entangled pair is shared between a single Alice in one wing and several Bobs on the other wing, who act sequentially and independently of each other. When all the observers measure two dichotomic observables, we find that two Bobs can steer Alice's system, going beyond the monogamy restriction. We further show that three Bobs can steer Alice's system, considering a three-settings linear steering inequality, and then conjecture that, at most, n Bobs can demonstrate steering of Alice's system when steering is probed through an n-settings linear steering inequality.

  • Received 20 February 2018

DOI:https://doi.org/10.1103/PhysRevA.98.012305

©2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Souradeep Sasmal1,*, Debarshi Das1,†, Shiladitya Mal2,3,‡, and A. S. Majumdar2,§

  • 1Centre for Astroparticle Physics and Space Science (CAPSS), Bose Institute, Block EN, Sector V, Salt Lake, Kolkata 700 091, India
  • 2S. N. Bose National Centre for Basic Sciences, Block JD, Sector III, Salt Lake, Kolkata 700 098, India
  • 3Harish-Chandra Research Institute, HBNI, Chhatnag Road, Jhunsi, Allahabad 211 019, India

  • *souradeep@mail.jcbose.ac.in
  • debarshidas@jcbose.ac.in
  • shiladitya.27@gmail.com
  • §archan@bose.res.in

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Issue

Vol. 98, Iss. 1 — July 2018

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