Recent content by DonQubito

It might just be a typo. From definition 3, [itex]\left( \left|0++\right>+i\left|1--\right> \right)/\sqrt{2} [\itex] is supposed to be the graph state [itex]\left| G \right>[\itex]. If I am correct in that assumption then [itex] \left|G\right> [\itex] cannot have any imaginary amplitudes. This...

Distribute out the tensor product. \sum_i \alpha_i \left|i \right> \otimes \sum_j \beta_j \left|j \right>=\sum_{i,j} \alpha_i \beta_j \left|i\right> \otimes \left|j \right>. Then apply the controlled operation to every basis state.

Quantum gates are generalizations of reversible gates. An example of a reversible gate is the Toffoli gate. The Toffoli gate acts on blocks of three bits. T(a,b,c)=(a,b,(c XOR (a AND b))). T is reversible because if you apply it twice in a row, you get the original bit string back, i.e...