# Is where measurement is done the requirement for what gets to be called the computational basis?

In Nielsen and Chuang, chapter 1.3.3 is named as "Measurements in bases other than the computational basis". This name confuses me - after the measurement is done on a new base, doesn't this new base become the computational basis?

The computational basis is just a convention for the $$Z$$ basis, as its orthogonal basis is $$\{|0\rangle, |1\rangle\}$$; which is analog to the bit in classical computation, hence the name.
So in theory, yes, you can call computational basis any basis you want as long as you clarify what convention are you following, but the most common convention (and, in reality, the only one I've seen) is to call the $$Z$$ basis this.