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Theorem on projective measurement and 100% distinguishable states

  1. Feb 27, 2012 #1
    Hi everybody! I'm studying this paper "Unambiguous discrimination among quantum operations" http://pra.aps.org/abstract/PRA/v73/i4/e042301 and they state that

    Ok, it's well known, but then I took a review of the notes to my course of quantum information and i found this not proven proposition:

    Well, I'm not able to arrange a sounded proof of this simple proposition: i guess i have to choose a base and decompose spectrally the operator but i'm not able to go on. could someone be so kind to show me how to do or at least to suggest me a book or a paper where i could find a proof?

    Thank!
     
  2. jcsd
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