I have two 3-qubit registers, each one is prepared in $W$ state, so my two registers are in state: $$\left|W_3\right\rangle\otimes \left|W_3\right\rangle \ ,$$I use this (6-qubits) diffusion operator to amplify my desired state: $$2|W⟩⟨W|−I$$ as shown on this thread.
Now, I would like to amplify all states, except ones that are not compliant with some constraints, for example, I would like to amplify all states except:
$$ \left|100\right\rangle\left|001\right\rangle \ .$$
So, basically a NAND on first and last qubits of first and second register.
How can I implement this ?
Thank you.
