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"information theory" is a correct and usable term in written English.
You can use it when referring to a theory which describes how information is processed, stored, and transmitted in digital communication. For example, "Recent developments in information theory have improved the accuracy of wireless communication systems."
Dictionary
information theory
noun
A branch of applied mathematics and engineering involving the quantification of information sent over a communication channel, disregarding the meaning of the sent messages, exemplified by the noisy-channel coding theorem.
Exact(60)
Information Theory.
Information Theory, Spring 2015.
6.441 Information Theory.
An Information theory model of hydrophobic interactions.
Universal Schemes in Information Theory.
Information Theory, vol. 43, no.
Information Theory, vol. 50, no.
IEEE Transactions on Information Theory.
Information theory helped to get over this problem.
Before information theory, remote communication was done using analogue signals.
Information theory offers such a framework.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com