Non-Markovianity quantifier of an arbitrary quantum process

Autor(es)

Debarba, Tiago ; Fanchini, Felipe F.

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW A; v. 96, n. 6, p. 6-pg., 2017-12-12.

Resumo

Calculating the degree of non-Markovianity of a quantum process, for a high-dimensional system, is a difficult task given complex maximization problems. Focusing on the entanglement-based measure of non-Markovianity we propose a numerically feasible quantifier for finite-dimensional systems. We define the non-Markovianity measure in terms of a class of entanglement quantifiers named witnessed entanglement which allow us to write several entanglement based measures of non-Markovianity in a unique formalism. In this formalism, we show that the non-Markovianity, in a given time interval, can be witnessed by calculating the expectation value of an observable, making it attractive for experimental investigations. Following this property we introduce a quantifier base on the entanglement witness in an interval of time; we show that measure is a bonafide measure of non-Markovianity. In our example, we use the generalized robustness of entanglement, an entanglement measure that can be readily calculated by a semidefinite programming method, to study impurity atoms coupled to a Bose-Einstein condensate. (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: 17/07787-7 - Uso de controle ótimo quântico e desacoplamento dinâmico para viabilização de simulação quântica em dispositivos semicondutores
• Beneficiário: Felipe Fernandes Fanchini
• Modalidade de apoio: Auxílio à Pesquisa - Regular