Questions tagged [matrix-representation]

I want to write matrix representation of qubit swap algorithm, but I seem to be stuck. Here is the circuit I am trying to calculate using linear algebra: Initially $q_0 = |0\rangle$ or $\begin{pmatrix}1 & 0\end{pmatrix}^T$ while $q_1 = |1\rangle$…

I'm not sure is it the right place to ask this but, I think it is better to ask here than Math Overflow. It is about how to find the matrix representation of an operator (for the CHSH test). What are the matrices that has…

I have a Kraus operator $M$. $M$ is composed of a list of matrices $M_k$ satisfying $$\sum_{k} M_k^\dagger M_k = I$$ I would like to control the application of $M$ using a control qubit. This controlled operation will have a Kraus operator $C(M)$.…

On the English Wikipedia, $XX$ Ising gates are defined in matrix form as : $$ XX(\phi) = \begin{bmatrix}\cos(\phi)&0&0& -i \sin(\phi)\\ 0&\cos(\phi)&-i \sin(\phi) & 0 \\ 0 & -i \sin(\phi) & \cos(\phi) & 0 \\ -i \sin(\phi) & 0 & 0 & \cos(\phi)…