Apart from such a “practical view”, it has been argued that complexity aspects are also relevant from the fundamental point of view: Zurek [3] defines the physical entropy of a classical system as the sum of the Shannon entropy (formalizing the missing knowledge about the state) and the algorithmic information content (algorithmic randomness, i.e. the Kolmogorov complexity) present in the available data about the system. Mora et al. [4] describes a quantum generalization of Kolmogorov complexity and discusses also its thermodynamical relevance.
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Janzing, D. (2009). Quantum Entropy. In: Greenberger, D., Hentschel, K., Weinert, F. (eds) Compendium of Quantum Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70626-7_163
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