In quantu mechanics, if i know precisely what all the gas molecules are doing, it is zero entropy. Whereas classically, that can't happen. So there is a differece betwen quantum and classical information because of entanglement. And my guess would be, there is zero applicability of quantum information theory to accounting,. Because this crucial property of entanglements just doesn't exist in the microscopic world where accounting is relevant. Unless you're really doing accounting with respect to small, quantum, entangled systems, then i don't think it's going to be of any helpwhat ever.

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