Upper bound on three-tangles of reduced states of four-qubit pure states

S. Shelly Sharma and N. K. Sharma
Phys. Rev. A 95, 062311 – Published 6 June 2017

Abstract

Closed formulas for upper bounds on three-tangles of three-qubit reduced states in terms of three-qubit–invariant polynomials of pure four-qubit states are obtained. Our results offer tighter constraints on total three-way entanglement of a given qubit with the rest of the system than those used by Regula et al. [Phys. Rev. Lett. 113, 110501 (2014) and Phys. Rev. Lett. 116, 049902(E) (2016)] to verify monogamy of four-qubit quantum entanglement.

  • Received 14 October 2016

DOI:https://doi.org/10.1103/PhysRevA.95.062311

©2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Quantum Information, Science & Technology

Authors & Affiliations

S. Shelly Sharma1,* and N. K. Sharma2,†

  • 1Departamento de Fisica, Universidade Estadual de Londrina, Londrina-PR, Brazil
  • 2Departamento de Matematica, Universidade Estadual de Londrina, Londrina 86051-990, PR Brazil

  • *shelly@uel.br
  • nsharma@uel.br

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Issue

Vol. 95, Iss. 6 — June 2017

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