Many quantum algorithms requires measurements at the end of the processing and it seems like the quantum state measurement setup is required to be made for measuring the two computational basis.
I know that it is possible in photonics, especially using polarization degrees of freedom; for example, using a polarization beam splitter (PBS) with two detectors at each output of the PBS, we can check whether the quantum state was |H> or |V>.
I'm not saying whether simultaneous projection measurement in two computational bases, |0> and |1>, is possible, but saying whether two computational basis measurement setup can be made in a same computing system simultaneously.
As far as I know, it is very important for boosting the computational speed up for checking the computing result at once; for example, when we try to perform the Bernstein-Vazirani algorithm with a hidden secret string S=1, we need to check it in one query by putting all possible computational basis measurement set in the computer that we use.
But I'm wondering whether making two computational basis measurement setup simultaneously is experimentally available in ion trap and super conducting system.
Is it really available to measure those two setups at the same time?
If possible, I would like to know how it is implemented experimentally.