Download PDFOpen PDF in browserQuantum Information as the Information of Infinite SeriesEasyChair Preprint no. 32728 pages•Date: April 27, 2020AbstractThe quantum information introduced by quantum mechanics is equivalent to that generalization of the classical information from finite to infinite series or collections. The quantity of information is the quantity of choices measured in the units of elementary choice. The qubit, can be interpreted as that generalization of bit, which is a choice among a continuum of alternatives. The axiom of choice is necessary for quantum information. The coherent state is transformed into a wellordered series of results in time after measurement. The quantity of quantum information is the ordinal corresponding to the infinity series in question Keyphrases: axiom of choice, bit and qubit, choice, information, quantum information, set and set theory, wellordering
