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Information dynamics in quantum theory

Piotr Garbaczewski
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Abstract

Shannon entropy and Fisher information functionals are known to quantify certain information-theoretic properties of continuous probability distributions of various origins. We carry out a systematic study of these functionals, while assuming that the pertinent probability density has a quantum mechanical appearance $ρ\doteq |ψ|^2$, with $ψ\in L^2(R)$. Their behavior in time, due to the quantum Schrödinger picture evolution-induced dynamics of $ρ(x,t)$ is investigated as well, with an emphasis on thermodynamical features of quantum motion.

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Piotr Garbaczewski. 2006-12-18. Information dynamics in quantum theory. https://arxiv.org/abs/quant-ph/0612151

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