Generalized robustness of entanglement

@article{Steiner2003GeneralizedRO,
  title={Generalized robustness of entanglement},
  author={Michael J. Steiner},
  journal={Physical Review A},
  year={2003},
  volume={67},
  pages={054305}
}
  • M. Steiner
  • Published 1 April 2003
  • Physics
  • Physical Review A
The robustness of entanglement results of Vidal and Tarrach [Phys. Rev. A 59, 141 (1999)] considered the problem whereby an entangled state is mixed with a separable state so that the overall state becomes nonentangled. In general, it is known that there are also cases when entangled states are mixed with other entangled states and where the sum is separable. In this paper, we treat a more general case where entangled states can be mixed with any states so that the resulting mixture is… 
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References

SHOWING 1-3 OF 3 REFERENCES
Convexity and the separability problem of quantum mechanical density matrices
Abstract A finite-dimensional quantum mechanical system is modelled by a density ρ, a trace one, positive semi-definite matrix on a suitable tensor product space H[N]. For the system to demonstrate
Decoherence: Basic Concepts and Their Interpretation
Introduction to the theory of decoherence. Contents: 1. The phenomenon of decoherence: superpositions, superselection rules, decoherence by "measurements". 2. Observables as a derivable concept. 3.
Matrix analysis
TLDR
This new edition of the acclaimed text presents results of both classic and recent matrix analyses using canonical forms as a unifying theme, and demonstrates their importance in a variety of applications.