Fortunately, brains don't work like RAM chips and there is apparently evidence that important data is saved in molecular structure, not in electric charges.
Unfortunately though, data is not all there is, and a good part of what our brains do is electrical in nature.
In other words, you could save all the data in the brain but without knowing what the CPU was doing when it shut down (which is electrical state) that may not do you any good.
Thankfully the fact that people have come back just fine from minutes of total EEG silence (Often involving hypothermia) shows that the immediate state of the brain does not matter nearly as much as its structure.
That's not quite the same as freezing your brain for an indeterminate amount of time (decades? centuries? millennia? forever?) and expecting a spontaneous reboot after transferring and read-out + a whole bunch of other unknowns.
That's a brain that was still almost the same brain as the one in which the electrical activity as we currently detect it was lost.
Nobody actually expects this. You can't just thaw someone and reperfuse them. Extensive repair work has to be done at the nanoscale.
In any case, the evidence shows electrical activity doesn't really matter when you're only concerned about long-term identity. Electrochemical impulses don't encode memory or personality. If they did, it would be pretty clear in people who recover from extreme hypothermia, as they would have retrograde amnesia.
http://en.wikipedia.org/wiki/Cryonics#Neuropreservation