Maximal entanglement versus entropy for mixed quantum states
Abstract
Maximally entangled mixed states are those states that, for a given mixedness, achieve the greatest possible entanglement. For two-qubit systems and for various combinations of entanglement and mixedness measures, the form of the corresponding maximally entangled mixed states is determined primarily analytically. As measures of entanglement, we consider entanglement of formation, relative entropy of entanglement, and negativity; as measures of mixedness, we consider linear and von Neumann entropies. We show that the forms of the maximally entangled mixed states can vary with the combination of (entanglement and mixedness) measures chosen. Moreover, for certain combinations, the forms of the maximally entangled mixed states can change discontinuously at a specific value of the entropy.
Cite
@article{arxiv.quant-ph/0208138,
title = {Maximal entanglement versus entropy for mixed quantum states},
author = {Tzu-Chieh Wei and Kae Nemoto and Paul M. Goldbart and Paul G. Kwiat and William J. Munro and Frank Verstraete},
journal= {arXiv preprint arXiv:quant-ph/0208138},
year = {2009}
}
Comments
13 pages, 12 figures