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I Maximally entangled two-qubit Bell states

  1. Sep 6, 2016 #1
    Hello,
    In the four maximally entangled two-qubit Bell states, what is the difference between the first and the second states, similarly, the difference between the third and the fourth states. What the different in signs mean( +,-)
    https://wikimedia.org/api/rest_v1/media/math/render/svg/109a51fe05d9e48649bfb5a06ca5de616139ea2c
    https://wikimedia.org/api/rest_v1/media/math/render/svg/c6f4fa7ca90a435fdf6c68e123e081e5ea3226d6
    https://wikimedia.org/api/rest_v1/media/math/render/svg/baacb91e49575425e9ed235a5169ab84df8429f8
    https://wikimedia.org/api/rest_v1/media/math/render/svg/9cffbf1aab3f5b14a68f4efaaaee4388c9efc82e
     
  2. jcsd
  3. Sep 6, 2016 #2

    DrClaude

    User Avatar

    Staff: Mentor

    Please do not use svg images. Do they not come out correctly.

    I can anyway answer your question. You will notice that ##\Psi^\pm## and ##\Phi^\pm## differ by the sign between the two terms. This change of sign ensures orthogonality.
     
  4. Sep 6, 2016 #3
    Thank you..

    For instance, in phi state for both (+ and -), in the first term Alice would get 0 and Bob 0 as well for both (+,-). Actually, it is not clear in terms of definition and the way of measurement, as both look similar.

    Thanks.
     
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