Measuring a Quantum System’s Classical Information


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.

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J. Haller Jr., "Measuring a Quantum System’s Classical Information," Journal of Modern Physics, Vol. 5 No. 1, 2014, pp. 8-16. doi: 10.4236/jmp.2014.51002.

Conflicts of Interest

The authors declare no conflicts of interest.


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