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The Mathematics of Entanglement
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The Mathematics of Entanglement
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These notes are from a series of lectures given at the Universidad de Los Andes in Bogot\'a, Colombia on some topics of current interest in quantum information. While they aim to be self-contained, they are necessarily incomplete and idiosyncratic in their coverage. For a more thorough introduction to the subject, we recommend one of the textbooks by Nielsen and Chuang or by Wilde, or the lecture notes of Mermin, Preskill or Watrous. Our notes by contrast are meant to be a relatively rapid introduction into some more contemporary topics in this fast-moving field. They are meant to be accessible to advanced undergraduates or starting graduate students.
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Entanglement of flower states
Flower states have distillable entanglement of exactly 1 ebit but NE entanglement cost log(1+√k) and exact LOCC cost log min_{r|k}(r+k/r), giving the largest known entanglement irreversibility gap.
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