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Obviously to get information, you have to do work, which is (at least) equivalent to the entropy of the information that's projected, or determined.

For a 'bit' of information this entropy is = [tex] k_B ln(2) [/tex]. Which effectively is the separation of a pure state from a mixed state, in entropy-per-bit terms.

Information in the Shannon model is a

*result*of communication, so surely it's ok to say the mixed state evolves to a pure state, the same way a signal translates or is communicated? In fact it's ok to say a measurement is a computation, or a projection of information (in some dimension)?

So QM systems compute this result, when we 'do the work' of getting the "comms channel" to transmit something in our direction?

This is the informational approach - everything that constitutes information is the result of a communication/computation. Is this pseudoscientific?