An Introduction to Consistent Quantum Theory

  title={An Introduction to Consistent Quantum Theory},
  author={Pierre Hohenberg},
  journal={Reviews of Modern Physics},
  • P. Hohenberg
  • Published 12 September 2009
  • Physics
  • Reviews of Modern Physics
This paper presents an elementary introduction to consistent quantum theory, as developed by Griffiths and others over the past $25\phantom{\rule{0.3em}{0ex}}\text{years}$. The theory is a version of orthodox (Copenhagen) quantum mechanics based on the notion that the unique and mysterious feature of quantum, as opposed to classical systems, is the simultaneous existence of multiple incompatible representations of reality, referred to as ``frameworks.'' A framework is a maximal set of… 
Compatible quantum theory.
The present realistic formulation of the histories approach originally introduced by Griffiths, which the authors call 'compatible quantum theory (CQT)', consists of a 'microscopic' part (MIQM), which applies to a closed quantum system of any size, and a 'macroscopic' parts (MAQM) which requires the participation of a large (ideally, an infinite) system.
The regular histories formulation of quantum theory
It can be argued that RH compares favourably with other proposed interpretations of quantum mechanics in that it resolves the measurement problem while retaining an essentially classical worldview without parallel universes, a framework-dependent reality or action-at-a-distance.
On the Consistency of the Consistent Histories Approach to Quantum Mechanics
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Variational consistent histories as a hybrid algorithm for quantum foundations
A variational hybrid quantum-classical algorithm for finding consistent histories, which should revitalize interest in this formalism by allowing classically impossible calculations to be performed.
Do We Really Understand Quantum Mechanics
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