Controlled NOT Gate - Proof of Operation

Proof of Operation

Let \left\{ |0\rangle =\! \begin{bmatrix} 1 \\ 0 \end{bmatrix}, |1\rangle =\! \begin{bmatrix} 0 \\ 1 \end{bmatrix} \right\} be the orthonormal basis (using Bra-ket notation).

Let .

Let be the flip qubit of .

Recall that |\alpha\rangle\!\otimes\!|\beta\rangle = |\alpha\rangle |\beta\rangle = |\alpha,\beta\rangle .

Read more about this topic:  Controlled NOT Gate

Famous quotes containing the words proof of, proof and/or operation:

    “The fact that several men were able to become infatuated with that latrine is truly the proof of the decline of the men of this century.”
    —Charles Baudelaire (1821–1867)

    “From whichever angle one looks at it, the application of racial theories remains a striking proof of the lowered demands of public opinion upon the purity of critical judgment.”
    —Johan Huizinga (1872–1945)

    “Human knowledge and human power meet in one; for where the cause is not known the effect cannot be produced. Nature to be commanded must be obeyed; and that which in contemplation is as the cause is in operation as the rule.”
    —Francis Bacon (1560–1626)