Quantum information: Jaynes and Shannon entropies in a two-electron entangled artificial atom
C. Amovilli, Norman Henry March · Physical Review A · 2004
In the context of quantum information, both Shannon entropy and the different Jaynes entropy for a two-electron ``entangled artificial'' atom proposed by Moshinsky are studied here. The Jaynes entropy in this model is shown to be intimately related to the correlation kinetic energy. A generalization of the customary Shannon entropy based on the electron density is then proposed in terms of the electron pair correlation function. Both definitions behave in a similar way to the Jaynes entropy when considered as a function of the strength of the model electron-electron interaction.