Entanglement sharing via qudit channels: Nonmaximally entangled states may be necessary for one-shot optimal singlet fraction and negativity

Rajarshi Pal and Somshubhro Bandyopadhyay
Phys. Rev. A 97, 032322 – Published 19 March 2018

Abstract

We consider the problem of establishing entangled states of optimal singlet fraction and negativity between two remote parties for every use of a noisy quantum channel and trace-preserving local operations and classical communication (LOCC) under the assumption that the parties do not share prior correlations. We show that for a family of quantum channels in every finite dimension d3, one-shot optimal singlet fraction and entanglement negativity are attained only with appropriate nonmaximally entangled states. A consequence of our results is that the ordering of entangled states in all finite dimensions may not be preserved under trace-preserving LOCC.

  • Received 2 January 2018

DOI:https://doi.org/10.1103/PhysRevA.97.032322

©2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Rajarshi Pal*

  • Department of Physics, Indian Institute of Technology Madras, Chennai 600036, India

Somshubhro Bandyopadhyay

  • Department of Physics and Center for Astroparticle Physics and Space Science, Bose Institute, EN-80, Sector V, Bidhannagar, Kolkata 700091, India

  • *rajarshipal4@gmail.com
  • som@jcbose.ac.in

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Issue

Vol. 97, Iss. 3 — March 2018

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