General formulas for fixed-length quantum entanglement concentration

  • Authors:
  • M. Hayashi

  • Affiliations:
  • Lab. for Math. Neurosci., Brain Sci. Inst., Saitama

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

In this paper, we derive general formulas for the amount of entanglement that can be concentrated from general sequences of partially entangled, bipartite pure states. The formulas are obtained by using an information-spectrum approach. The formulas obtained express the optimal rate under constant error constraints or exponential error constraints in the asymptotic framework. Since the formulas treat general sequences, they can be applied to i.i.d. sequences as well as sequences with correlations