Non-unital non-Markovianity of quantum dynamics

Abstract

We show that Breuer-Laine-Piilo (BLP) non-Markovianity cannot capture the dynamical information in the non-unital aspect of the quantum dynamics. Moreover, we provide a measure on the effect of the non-unitality of quantum processes on the infinitesimal non-divisibility. This measure can be used as a supplement to BLP non-Markovianity for non-unital quantum processes. A measure on the degree of the non-unital behavior of quantum processes is also given in this paper.

accepted by Phys. Rev. A

References in corpus (6)

• Assessing non-Markovian dynamics
• On measures of non-Markovianity: divisibility vs. backflow of information
• Optimal state pairs for non-Markovian quantum dynamics
• Kraus representation of quantum evolution and fidelity as manifestations of Markovian and non-Markovian avataras
• Exciton-phonon information flow in the energy transfer process of photosynthetic complexes
• Quantification of memory effects in the spin-boson model

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