Bounds on the entanglement of two-qutrit systems from fixed marginals

Giuseppe Baio, Dariusz Chruściński, Paweł Horodecki, Antonino Messina, and Gniewomir Sarbicki
Phys. Rev. A 99, 062312 – Published 11 June 2019

Abstract

We discuss the problem of characterizing upper bounds on entanglement in a bipartite quantum system when only the reduced density matrices (marginals) are known. In particular, starting from the known two-qubit case, we propose a family of candidates for maximally entangled mixed states with respect to fixed marginals for two qutrits. These states are extremal in the convex set of two-qutrit states with fixed marginals. Moreover, it is shown that they are always quasidistillable. As a by-product we prove that any maximally correlated state that is quasidistillable must be pure. Our observations for two qutrits are supported by numerical analysis.

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  • Received 24 April 2019

DOI:https://doi.org/10.1103/PhysRevA.99.062312

©2019 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Quantum Information, Science & Technology

Authors & Affiliations

Giuseppe Baio1,*, Dariusz Chruściński2, Paweł Horodecki3,4, Antonino Messina5, and Gniewomir Sarbicki2

  • 1SUPA and Department of Physics, University of Strathclyde, Glasgow G4 0NG, Scotland, United Kingdom
  • 2Nicolaus Copernicus University, Grudziądzka 5/7, 87–100 Toruń, Poland
  • 3International Centre for Theory of Quantum Technologies, University of Gdansk, Wita Stwosza 63, 80-308 Gdansk, Poland
  • 4Faculty of Applied Physics and Mathematics, National Quantum Information Centre, Gdansk University of Technology, Gabriela Narutowicza 11/12, 80-233 Gdansk, Poland
  • 5Dipartimento di Matematica e Informatica, Università degli Studi di Palermo, Italy, and I.N.F.N., Sezione di Catania, Italy

  • *giuseppe.baio@strath.ac.uk

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Issue

Vol. 99, Iss. 6 — June 2019

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