I know this question looks ridiculous.
But I simply want to know if possible to store/load a superposition state into classical register from qubit. Specifically two bit of classical register.
Consider 1-qubit $q$ and 2-bit $c$:
- If $q=|0\rangle$, then $c=00$.
- If $q=|1\rangle$, then $c=01$.
- If $q=|+\rangle$, then $c=10$.
- If $q=|-\rangle$, then $c=11$.
Basically left classical bit (MSB) will set to 1 if in superposition state, otherwise 0.
Right classical bit (LSB) was about binary state in qubit. But depends on context too, if in superposition state (MSB=1) then it represent previous value before became superposition state.
So is it possible to just using one qubit in this problem? I don't mind using many logic gates in single qubit.
What I mean with store and load is basically copy from/to classical register. Store with measurement, Load with using conditional
X gate in classical bit, here is what I mean.