New answers tagged matrix-representation
0
votes
Show how the Bell state arises from the circuit with Hadamard and CNOT, using matrix notation
I think you're looking for
$$B \space = \space CNOT \space \space (H \otimes I)
= \begin{bmatrix}1&0&1&0\\0&1&0&1\\0&1&0&-1\\1&0&-1&0\end{bmatrix}\...
- 111
0
votes
Toffoli Gate Matrices
I always find enlightening the block-matrix display approach, so that these three Toffoli operators can be viewed as
$$\begin{bmatrix}I& & & \\ &I& & \\ & &I& \\ &...
- 111
0
votes
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 ...
- 54.4k
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