Measuring a Quantum System’s Classical Information

John L. Haller Jr.^*

CCC Information Services, Data Science, Chicago, USA.

DOI: 10.4236/jmp.2014.51002                

Abstract

In the governing thought, I find an equivalence between the classical information in a quantum system and the integral of that system’s energy and time, specifically , in natural units. I solve this relationship in four ways: the first approach starts with the Schrodinger Equation and applies the Minkowski transformation; the second uses the Canonical commutation relation; the third through Gabor’s analysis of the time-frequency plane and Heisenberg’s uncertainty principle; and lastly by quantizing Brownian motion within the Bernoulli process and applying the Gaussian channel capacity. In support I give two examples of quantum systems that follow the governing thought: namely the Gaussian wave packet and the electron spin. I conclude with comments on the discretization of space and the information content of a degree of freedom.

Keywords

Energy; Time; Information; Entropy; Rate; Capacity; Brownian Motion; Quantum of Action; Quantum of Information; Discrete Space; Discrete Time; Spin

Conflicts of Interest

The authors declare no conflicts of interest.

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