Representation of Quantum Field Theory by Elementary Quantum Information

TL;DR

This paper models relativistic quantum field theory using elementary units of quantum information, deriving space-time and particle concepts from quantum informational principles.

Contribution

It introduces a novel framework representing quantum field theory through elementary quantum information units and constructs space-time and field operators from them.

Findings

Representation of Poincare group in quantum information space

Mapping quantum states to Minkowski space-time

Derivation of quantum field theory from quantum information units

Abstract

In this paper is considered relativistic quantum field theory expressed by elementary units of quantum information as they are considered as fundamental entity of nature by Carl Friedrich von Weizsaecker. Through quantization of a Weyl spinor describing an elementary unit of quantum information and consisting of four real components one obtains four pairs of creation and annihilation operators acting in a tensor space of states containing many units of quantum information. There can be constructed position and momentum operators from the creation and annihilation operators and based on these operators the Poincare group can be represented in this abstract tensor space of quantum information. A general state in the tensor space can be mapped to a state in Minkowski space-time by using the position representation of the eigenstates of the occupation number operators which correspond to the eigenstates of the harmonic oscillator. This yields a description of relativistic quantum mechanics. Quantization of the coefficients of a general state in the tensor space leads to many particle theory and thus to quantum field theory.