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Phys. Rev. A 69, 054302 (2004) [4 pages]

Quantum information: Jaynes and Shannon entropies in a two-electron entangled artificial atom

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Claudio Amovilli*
Dipartimento di Chimica e Chimica Industriale, Università di Pisa, Via Risorgimento 35, I-56126 Pisa, Italy

Norman H. March
Department of Physics, University of Antwerp (RUCA), Groenenborgerlaan 171, B-2020 Antwerpen, Belgium

Received 19 September 2003; revised 28 January 2004; published 12 May 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.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.69.054302
DOI:
10.1103/PhysRevA.69.054302
PACS:
03.67.−a

*Electronic address: amovilli@dcci.unipi.it

Also at Oxford University, Oxford, England.