Sharing of nonlocal advantage of quantum coherence by sequential observers

Shounak Datta and A. S. Majumdar
Phys. Rev. A 98, 042311 – Published 9 October 2018; Erratum Phys. Rev. A 99, 019902 (2019)

Abstract

Nonlocal advantage of quantum coherence (NAQC) or steerability of local quantum coherence is a strong nonlocal resource based on coherence complementarity relations. In this work, we provide an upper bound on the number of observers who can independently steer the coherence of the observer in the other wing in a scenario where half of an entangled pair of spin-12 particles is shared between a single observer (Bob) in one wing and several observers (Alices) on the other, who can act sequentially and independently of each other. We consider one-parameter dichotomic POVMs for the Alices and mutually unbiased basis in which Bob measures coherence in the case of the maximally entangled bipartite qubit state. We show that not more than two Alices can exhibit NAQC when the l1 norm of coherence measure is probed, whereas for two other measures of coherence, only one Alice can reveal NAQC within the same framework.

  • Received 30 June 2018

DOI:https://doi.org/10.1103/PhysRevA.98.042311

©2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Erratum

Authors & Affiliations

Shounak Datta* and A. S. Majumdar

  • S. N. Bose National Centre for Basic Sciences, Block JD, Sector III, Salt Lake, Kolkata 700 098, India

  • *shounak.datta@bose.res.in
  • archan@bose.res.in

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Issue

Vol. 98, Iss. 4 — October 2018

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