Inequivalence of correlation-based measures of non-Markovianity

Author(s)

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

• Document type: Journal article
• Source: PHYSICAL REVIEW A; v. 94, n. 3, p. 6-pg., 2016-09-06.

Abstract

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)

• FAPESP's process: 08/57856-6 - National Institute of Science and Technology - Quantum Information
• Grantee: Amir Ordacgi Caldeira
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 15/05581-7 - Quantum control in dissipative systems
• Grantee: Felipe Fernandes Fanchini
• Support Opportunities: Regular Research Grants
• FAPESP's process: 12/18558-5 - Studying the monogamic relations between entanglement and quantum correlations
• Grantee: Goktug Karpat
• Support Opportunities: Scholarships in Brazil - Post-Doctoral