Quantum information isomorphism: beyond the dillemma of Scylla of ontology and Charybdis of instrumentalism

Abstract

In order to have the most safe way of dealing with unanalysable quantum whole the Copenhagen interpretation takes as a "frame of reference" the preparation parameters and outcomes of the measurements. It represents {\it passive} Ptolemean-like instrumentalism directly related to "what we see in the sky" i.e. to the "surface" of the things. However the notion of quantum information leads to {\it active} Copernican-like realism which involves (intrinsic) ordering principle and thinking about the whole as being analysable. One dares then to consider subsystems as localised in space, controlled individually, and communicated. This makes natural treating quantum information (quantum states) as by no means merely knowledge. Moreover it involves complementarity between local and nonlocal information. To avoid dilemma between Scylla of ontology and Charybdis of instrumentalism, the concept of {\it quantum information isomorphism} is proposed according to which quantum description of Nature and their mathematical representation. By definition it is not only just one-to-one mapping, but it preserves the structure. It allows, in particular, to treat the "wave function" as isomorphic image of what we are processing in laboratories implying that quantum information is indeed carried by the quantum systems.