Uncertainty relations and entanglement in fermion systems

C. Zander and A. R. Plastino
Phys. Rev. A 81, 062128 – Published 25 June 2010

Abstract

The violation of uncertainty relations is used as a signature of entanglement for both pure and mixed states of two identical fermions. In the case of fermions with a four-dimensional single-particle Hilbert space we obtain several different types of uncertainty-related entanglement criteria based on local uncertainty relations, on the sum of variances of projectors, and on various entropic measures. Within the latter approach we consider either entropic uncertainty relations involving a single observable or relations based upon the sum of entropies associated with more than one observable. We extend the projector-based entanglement criterion to the case of two-fermion and three-fermion systems with a six-dimensional single-particle Hilbert space.

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  • Received 27 March 2010

DOI:https://doi.org/10.1103/PhysRevA.81.062128

©2010 American Physical Society

Authors & Affiliations

C. Zander1 and A. R. Plastino2,3,*

  • 1Physics Department, University of Pretoria, Pretoria 0002, South Africa
  • 2Instituto Carlos I de Física Teórica y Computacional, University of Granada, Granada E-18 071, Spain
  • 3National University La Plata, UNLP-CREG-CONICET-C.C. 727, 1900 La Plata, Argentina

  • *arplastino@ugr.es

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Vol. 81, Iss. 6 — June 2010

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