We can be programs, if you used "program" metaphorically to include time evolution of quantum determinism. We aren't programs in the sense that we haven't been shown to be equivalent to a Turing machine, in anything other than their abstract ability to simulate quantum determinism.
Your use of "corrupted" suggests you think there is an ideal concept of information. There's no shadow in Plato's cave. If we are programs in the quantum determinism sense then our memories are perfect descriptions of our memories, not corrupted representations of some past.