- #1
ianmgull
- 20
- 0
Homework Statement
Homework Equations
I know that there are two eigenstates of the operator C:
|B> = (1 0) as a column vector with eigenvalue 1
|R> = (0 1) also a column vector with eigenvalue -1
The Attempt at a Solution
I'm attempting to solve part c (second image).
My initial thought was as follows:
Measuring the state, and getting a result of red means: C|psi> = -|psi> because -1 is the eigenvalue corresponding to red. I would then perform another measurement on the new state (with the negative sign in front) and get a measurement value corresponding to blue.
However this doesn't seem to work. I'm a little unsure if I'm supposed to think about a measurement as listed above, or if I'm supposed to do <psi|C|psi> instead. I'm also not sure if I should be using the projection operator instead of the color operator C.
Any advice would be greatly appreciated.
Thanks.