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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Camilo, Giancarlo [1] ; Landi, Gabriel T. [2] ; Eliens, Sebas [1]
Total Authors: 3
[1] Univ Fed Rio Grande do Norte, Int Inst Phys, Campus Univ, BR-59078970 Natal, RN - Brazil
[2] Univ Sao Paulo, Inst Fis, BR-05314970 Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Physical Review B; v. 99, n. 4 JAN 31 2019.
Web of Science Citations: 1

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)

FAPESP's process: 16/08721-7 - Stochastic modeling of non-equilibrium quantum systems
Grantee:Gabriel Teixeira Landi
Support Opportunities: Regular Research Grants
FAPESP's process: 17/20725-0 - Irreversibility and quantum correlations
Grantee:Mariana Afeche Cipolla
Support Opportunities: Scholarships in Brazil - Scientific Initiation