Quantum Information as the Information of Infinite Series

EasyChair Preprint 3272

Abstract

The 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 well-ordered 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, well-ordering

@booklet{EasyChair:3272,
  author    = {Vasil Penchev},
  title     = {Quantum Information as the Information of Infinite Series},
  howpublished = {EasyChair Preprint 3272},
  year      = {EasyChair, 2020}}