Suppose I’m building a long circuit and I need to reuse a qubit from a previous step but I don’t want to use the reset operation (or I’m not using an IBM computer so I don’t even have the reset option).
Could I apply some Grover-style rotation of the qubit that I want to reset, like if I was searching for the state $|0\rangle$?
I know that the Grover algorithm presumes you are starting from a qubit in a uniform superimposition - but what would happen if I tried to do a Grover-like search for $|0\rangle$ starting from any arbitrary state instead of a uniform superimposition? Would I still get to $|0\rangle$ or would something weird happen?