Technically, this book is suitable for anyone who has taken a couple Linear Algebras. Realistically, some experience with Hilbert Spaces, group theory, dirac notation, tensor products, minimal quantum mechanics would help - the authors do spend the first two chapters bringing you up to speed...
Just to clarify, I meant to ask if it is ok for ME to post the full solution (assuming I solve it - I have to study for a complex analysis exam first :smile:)
Woops, not sure why I mentioned trace. Must have been all the studying. :)
Dick, that's really helpful. I appreciate it! Is it customary/ok to post the solution? (I couldn't find any rules on the forum)
At this point in the book (An Introduction to Quantum Computing by P. Kaye, R. Laflamme, M. Mosca) the connection between trace and the sum of the eigenvalues has not been made.
I was hoping some could point out a more direct proof using only the 3 facts I listed.
It looks like there won't be...
I'm studying for my Quantum Computing exam. It's at 2 PM EST today. If anyone can give me a nudge in the right direction before then that would be excellent!
Problem:
Assume the operators P_i satisfy:
\textbf{1} = \sum_i{P_i}
P_i^{\dagger} = P_i
P_j^2 = P_j.
Show that P_i P_j = 0 whenever...