Maximally entangled mixed states for qubit-qutrit systems

Paulo E. M. F. Mendonça, Marcelo A. Marchiolli, and Samuel R. Hedemann
Phys. Rev. A 95, 022324 – Published 21 February 2017

Abstract

We consider the problems of maximizing the entanglement negativity of X-form qubit-qutrit density matrices with (i) a fixed spectrum and (ii) a fixed purity. In the first case, the problem is solved in full generality whereas, in the latter, partial solutions are obtained by imposing extra spectral constraints such as rank deficiency and degeneracy, which enable a semidefinite programming treatment for the optimization problem at hand. Despite the technically motivated assumptions, we provide strong numerical evidence that threefold degenerate X states of purity P reach the highest entanglement negativity accessible to arbitrary qubit-qutrit density matrices of the same purity, hence characterizing a sparse family of likely qubit-qutrit maximally entangled mixed states.

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  • Received 4 December 2016

DOI:https://doi.org/10.1103/PhysRevA.95.022324

©2017 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Paulo E. M. F. Mendonça1,*, Marcelo A. Marchiolli2,†, and Samuel R. Hedemann3,‡

  • 1Divisão de Ensino, Academia da Força Aérea, 13.643-000 Pirassununga, SP, Brazil
  • 2Avenida General Osório 414, Centro, 14.870-100 Jaboticabal, SP, Brazil
  • 3PO Box 72, Freeland, Maryland 21053, USA

  • *pmendonca@gmail.com
  • marcelo_march@bol.com.br
  • samuel.hedemann@gmail.com

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Issue

Vol. 95, Iss. 2 — February 2017

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