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Entropy 2017, 19(12), 645; doi:10.3390/e19120645

Quantum Information: What Is It All About?

Department of Physics, Carnegie Mellon University, Pittsburgh, PA 15213, USA
Received: 23 October 2017 / Revised: 16 November 2017 / Accepted: 22 November 2017 / Published: 29 November 2017
(This article belongs to the Special Issue Quantum Information and Foundations)
View Full-Text   |   Download PDF [211 KB, uploaded 29 November 2017]

Abstract

This paper answers Bell’s question: What does quantum information refer to? It is about quantum properties represented by subspaces of the quantum Hilbert space, or their projectors, to which standard (Kolmogorov) probabilities can be assigned by using a projective decomposition of the identity (PDI or framework) as a quantum sample space. The single framework rule of consistent histories prevents paradoxes or contradictions. When only one framework is employed, classical (Shannon) information theory can be imported unchanged into the quantum domain. A particular case is the macroscopic world of classical physics whose quantum description needs only a single quasiclassical framework. Nontrivial issues unique to quantum information, those with no classical analog, arise when aspects of two or more incompatible frameworks are compared. View Full-Text
Keywords: Shannon information; quantum information; quantum measurements; consistent histories; incompatible frameworks; single framework rule Shannon information; quantum information; quantum measurements; consistent histories; incompatible frameworks; single framework rule
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Griffiths, R.B. Quantum Information: What Is It All About? Entropy 2017, 19, 645.

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