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Parity problem in Bernstein Vazirani Algorithm

  1. May 25, 2015 #1
    I don't understand the following aspect of the parity problem and if someone could please explain it to me, I would be grateful.
    In the given quantum circuit, the output f(x) is defined to be x.a = x1a1+x2a2+x3a3(mod 2), where a is a fixed |a1a2a3>. For example, if x=|101> and a=|100>, x.a = 1+0+0(mod 2) = 1.

    I hope I got till this much correct. My question is, what if x is something like α|000>+β|101>+γ|111>? Then how is f(x) defined? Any help will be appreciated. Thanks!
     

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  2. jcsd
  3. May 30, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
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