〈 Berger | Dillon 〉

there’s a lot of non-Standard terminology there..

There is no probability of measuring phi.. only its eigenvalue

Every different technical field invents different nomenclature for what are essentially the same concepts. 'Non-standard terminology' assumes a preferred frame of reference! :D Brb, googling 'one-hot'.

Haha, yeah I mean a vector of the standard basis where one element is 1 and all others are 0. Does it make sense to measure in the standard basis if we can only measure eigenvalues though?

I guess I’m just not sure what you mean by measure in the standard basis .. the measurement is a physical process and is basis independent and is represented by a unitary operator acting on the projective Hilbert space

Terminology

Side effect of CS foundation is thinking in terms of data structures used to represent concepts in memory. In practice this means vectors always need a basis. In this case, a dot product can become a fast lookup if 𝜓 is represented using the operator's eigenvectors as a basis.