Information dynamics in quantum theory

Details Information dynamics in quantum theory Information dynamics in quantum theory

2006-12-18

arxiv.org/abs/quant-ph/0612151v1

Appl. Math. & Information Sciences 1, (2007), 1-12

Physics

Quantum Physics

11 pages

Scientific paper

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 $\rho \doteq |\psi |^2$, with $\psi \in L^2(R)$. Their behavior in time, due to the quantum Schr\"{o}dinger picture evolution-induced dynamics of $\rho (x,t)$ is investigated as well, with an emphasis on thermodynamical features of quantum motion.

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