Fidelity and Concurrence of conjugated states

@article{Uhlmann1999FidelityAC,
  title={Fidelity and Concurrence of conjugated states},
  author={Armin Uhlmann},
  journal={Physical Review A},
  year={1999},
  volume={62},
  pages={032307}
}
  • A. Uhlmann
  • Published 20 September 1999
  • Mathematics, Computer Science
  • Physical Review A
We prove some properties of fidelity (transition probability) and concurrence, the latter defined by a straightforward extension of Wootters' notation. Choose a conjugation and consider the dependence of fidelity or of concurrence on conjugated pairs of density operator. These functions turn out to be concave or convex roofs. Optimal decompositions are constructed. Some applications to two and tripartite systems illustrate the general theorems. 
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