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Strong subadditivity of the Renyi entropies for bosonic and fermionic Gaussian states

Texto completo
Autor(es):
Camilo, Giancarlo ; Landi, Gabriel T. ; Eliens, Sebas
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW B; v. 99, n. 4, p. 8-pg., 2019-01-31.
Resumo

Recently, there has been a surge of interest in using Renyi entropies as quantifiers of correlations in many-body quantum systems. However, it is well known that in general these entropies do not satisfy the strong subadditivity inequality, which is a central property ensuring the positivity of correlation measures. In fact, in many cases they do not even satisfy the weaker condition of subadditivity. In the present paper we shed light on this subject by providing a detailed survey of Renyi entropies for bosonic and fermionic Gaussian states. We show that for bosons the Renyi entropies always satisfy subadditivity, but not necessarily strong subadditivity. Conversely, for fermions both do not hold in general. We provide the precise intervals of the Renyi index alpha for which subadditivity and strong subadditivity are valid in each case. (AU)

Processo FAPESP: 17/20725-0 - Irreversibilidade e correlações quânticas
Beneficiário:Mariana Afeche Cipolla
Modalidade de apoio: Bolsas no Brasil - Iniciação Científica
Processo FAPESP: 16/08721-7 - Modelagem estocástica de sistemas quânticos fora do equilíbrio
Beneficiário:Gabriel Teixeira Landi
Modalidade de apoio: Auxílio à Pesquisa - Regular