IJPAM: Volume 68, No. 1 (2011)


C. Brandão$^1$, M.F. Borges$^2$
$^{1,2}$Department of Computing
São Paulo State University - UNESP
São José do Rio Preto Campus
São José do Rio Preto, SP, 15054-000, BRAZIL
$^1$e-mail: [email protected]
$^2$e-mail: [email protected]

Abstract. In non-extensive statistical mechanics [#!tsallis:88!#], it is a nonsense statement to say that the entropy of a system is extensive (or not), without mentioning a law of composition of its elements. In this theory quantum correlations might be perceived through quantum information process. This article, that is an extension of recent work [#!borges:08!#], is a comparative study between the entropies of Von Neumann and of Tsallis, with some implementations of the effect of entropy in quantum entanglement, important as a process for transmission of quantum information. We consider two factorized (Fock number) states, which interact through a beam splitter bilinear Hamiltonian with two entries. This comparison showed us that the entropies of Tsallis and Von Neumann behave differently depending on the reflectance of the beam splitter.

Received: September 10, 2010

AMS Subject Classification: 80A99, 81-08

Key Words and Phrases: entanglement, entropy, computing and quantum information

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 68
Issue: 1