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Show how the Bell state arises from the circuit with Hadamard and CNOT, using matrix notation

I think you're looking for $$B \space = \space CNOT \space \space (H \otimes I) = \begin{bmatrix}1&0&1&0\\0&1&0&1\\0&1&0&-1\\1&0&-1&0\end{bmatrix}\...
Matteo Vitturi's user avatar
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Toffoli Gate Matrices

I always find enlightening the block-matrix display approach, so that these three Toffoli operators can be viewed as $$\begin{bmatrix}I& & & \\ &I& & \\ & &I& \\ &...
Matteo Vitturi's user avatar
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Unitarity of a matrix in the EPR experiment

The key thing is that the two eigenvectors of $\vec{v}\cdot\vec{\sigma}$ are orthogonal. So if you create a matrix such as $$ U=|a\rangle\langle 0|+|b\rangle\langle 1|, $$ (this is technically the ...
DaftWullie's user avatar
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