Inequivalence of correlation-based measures of non-Markovianity

Autor(es)

Neto, Alaor Cervati ; Karpat, Goktug ; Fanchini, Felipe Fernandes

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW A; v. 94, n. 3, p. 6-pg., 2016-09-06.

Resumo

We conclusively show that the entanglement- and the mutual-information-based measures of quantum non-Markovianity are inequivalent. To this aim, we first analytically solve the optimization problem in the definition of the entanglement-based measure for a two-level system. We demonstrate that the optimal initial bipartite state of the open system and the ancillary is always given by one of the Bell states for any one-qubit dynamics. On top of this result, we present an explicit example dynamics where memory effects emerge according to the mutual-information-based measure, even though the time evolution remains memoryless with respect to the entanglement- based measure. Finally, we explain this disagreement between the two measures in terms of the information dynamics of the open system, exploring the accessible and inaccessible parts of information. (AU)

• Processo FAPESP: 08/57856-6 - Instituto Nacional de Ciência e Tecnologia em Informação Quântica
• Beneficiário: Amir Ordacgi Caldeira
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 15/05581-7 - Controle quântico em sistemas dissipativos
• Beneficiário: Felipe Fernandes Fanchini
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 12/18558-5 - Estudo das relações monogâmicas entre o emaranhamento e a correlação quântica
• Beneficiário: Goktug Karpat
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado