The information-complete quantum theory

TL;DR

This paper introduces an information-complete quantum theory (ICQT) that aims to resolve foundational issues in quantum mechanics by proposing a trinary property of nature and a formalism where quantum states are inherently complete in information.

Contribution

The paper presents a novel formalism of quantum theory based on information completeness and the trinary property, offering new insights into quantum interpretation and measurement problems.

Findings

ICQT provides a consistent formalism for quantum mechanics

It offers a new perspective on the quantum measurement problem

Introduces the concept of an information-complete quantum computer

Abstract

Quantum mechanics is a cornerstone of our current understanding of nature and extremely successful in describing physics covering a huge range of scales. However, its interpretation remains controversial since the early days of quantum mechanics. What does a quantum state really mean? Is there any way out of the so-called quantum measurement problem? Here we present an information-complete quantum theory (ICQT) and the trinary property of nature to beat the above problems. We assume that a quantum system's state provides an information-complete description of the system in the trinary picture. We give a consistent formalism of quantum theory that makes the information-completeness explicitly and argue that conventional quantum mechanics is an approximation of the ICQT. We then show how our ICQT provides a coherent picture and fresh angle of some existing problems in physics. The computational content of our theory is uncovered by defining an information-complete quantum computer.