Is Information can be defined as
a quantum state change due to the modification
of one degree of freedom about the considered quantum system?
Following,
"that entropy, is information: indeed,in the micro-canonical language entropy is determined by the number of microstates compatible with a given macrostate."
Carlo Rovelli; Relative information at the foundation of physics, Second prize in the 2013 FQXi context ’It From Bit or Bit From It?’arXiv:1311.0054v1 [hep-th] 31 Oct 2013]
and
The von Neumann entropy of a quantum state is an information-theoretic measure of the amount of randomness or uncertainty that is inherent to that.
from The Theory of Quantum Information, Quantum entropy and source coding,
with
Shannon in his celebrated 1948 work that started the development of information theory, the number of states in which something can be, is precisely the definition of “information” (more precisely, “lack of information”)
Shannon CE. A mathematical theory of communication. Bell Syst Tech J. 1948;27(3):379-423. DOI: 10.1002/j.1538-7305.1948.tb01338.x.
Can we define information as a quantum state change due to the modification of one degree of freedom about the considered quantum system?