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Trapped Ion Quantum Computing

Information theory of quantum systems with some hydrogenic applications

arXiv
Authors: J. S. Dehesa, D. Manzano, P. S. Sánchez-Moreno, R. J. Yáñez

Year

2010

Paper ID

11275

Status

Preprint

Abstract Read

~2 min

Abstract Words

97

Citations

N/A

Abstract

The information-theoretic representation of quantum systems, which complements the familiar energy description of the density-functional and wave-function-based theories, is here discussed. According to it, the internal disorder of the quantum-mechanical non-relativistic systems can be quantified by various single (Fisher information, Shannon entropy) and composite (e.g. Cramer-Rao, LMC shape and Fisher-Shannon complexity) functionals of the Schrödinger probability density. First, we examine these concepts and its application to quantum systems with central potentials. Then, we calculate these measures for hydrogenic systems, emphasizing their predictive power for various physical phenomena. Finally, some recent open problems are pointed out.

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  • The information-theoretic representation of quantum systems, which complements the familiar energy description of the density-functional and wave-function-based theories, is...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1009.2687 [2] arXiv https://arxiv.org/abs/1009.2687 [3] Publisher https://arxiv.org/abs/1009.2687

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