Sort of. It's worthwhile noting that nothing all that interesting results if you measure the spin of A and B on the same axis. All you find out is that yes, they always have the same spin (or maybe opposite spins, it doesn't matter). That could easily be the case if each particle "really" has spin up or spin down relative to a specific axis, and we just don't know which it is until we measure them after they've separated. You could imagine the particles to be carrying sealed envelopes with the possible results of various measurements, and the particles just have both the same results written down, set when they interacted in a way that entangled them. However, if you measure spins at different angles, you can find cases where the particles spins are correlated better than they "should" be if particle A doesn't know anything about which angle you choose to measure particle B's spin at, and vice versa. If you assume that the measurement results are set when the particles become entangled, and that once the particles separate nothing that happens to one has any effect on the other, you'd predict a lower correlation between the results of certain measurements than what is actually observed.
Originally Posted by Strange
Conserve energy. Commute with the Hamiltonian.