Or, if one prefers, a reduced density matrix; this makes no difference for the following discussion.  Home/Search   Document Not in Database   Summary   Related Articles

....Since Shor has described his algorithms in considerable detail in his publications [1, 2] we shall not discuss them here. It will be sufficient to note that after a certain number of steps of the quantum computation have been carried out, the relevant quantum state j i is a coherent superposition [17] of different states jai labeled by an integer a between 0 and q Gamma 1, where q = 2 s 1 . The state j i is then subjected to a unitary transformation F , a sort of discrete Fourier transform, which carries each basis state jai of the q dimensional Hilbert space into F jai = 1 p q ....

Or, if one prefers, a reduced density matrix; this makes no difference for the following discussion.

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