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Homework Help: Cloning orthogonal quantum states - circuit?

  1. Nov 30, 2015 #1
    1. The problem statement, all variables and given/known data
    Hey, the no-cloning theorem states, that arbitrary quantum states cannot be cloned by any circuit.

    It is, however, possible to clone orthogonal states.

    What would a circuit performing this action look like?

    2. Relevant equations

    Relevant equations: I am assuming you all now the most important quantum gates (CNOT, Hadamard, Pauli Matrices etc. )

    3. The attempt at a solution
    The circuit looks like this: 812730657_2386878244649077364.jpg
    ##|\psi\rangle## is a general qubit: ##|\psi\rangle := a |0\rangle + b|1\rangle##

    I am assuming a CNOT gate has to be applied at some point, followed by the application of further gates to the lower qubit. I am, however, not sure how the coefficients can be "transferred" to the lower qubit.

    Thank you!
    Last edited: Nov 30, 2015
  2. jcsd
  3. Dec 2, 2015 #2


    User Avatar

    Staff: Mentor

    What state do you get after the application of the CNOT gate?
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