One-Shot Rates for Entanglement Manipulation Under Non-entangling Maps

  title={One-Shot Rates for Entanglement Manipulation Under Non-entangling Maps},
  author={Fernando G. S. L. Brand{\~a}o and Nilanjana Datta},
  journal={IEEE Transactions on Information Theory},
  • F. Brandão, N. Datta
  • Published 16 May 2009
  • Computer Science
  • IEEE Transactions on Information Theory
We obtain expressions for the optimal rates of one-shot entanglement manipulation under operations which generate a negligible amount of entanglement. As the optimal rates for entanglement distillation and dilution in this paradigm, we obtain the max- and min-relative entropies of entanglement, the two logarithmic robustnesses of entanglement, and smoothed versions thereof. This gives a new operational meaning to these entanglement measures. Moreover, by considering the limit of many identical… 
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