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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.)

Non-Markovianity quantifier of an arbitrary quantum process

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Debarba, Tiago [1] ; Fanchini, Felipe F. [2]
Total Authors: 2
[1] Univ Tecnol Fed Parana UTFPR, Campus Cornelio Procopio, BR-86300000 Cornelio Procopio, Parana - Brazil
[2] Univ Estadual Paulista, UNESP, Fac Ciencias, BR-17033360 Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Physical Review A; v. 96, n. 6 DEC 12 2017.
Web of Science Citations: 2

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)

FAPESP's process: 15/05581-7 - Quantum control in dissipative systems
Grantee:Felipe Fernandes Fanchini
Support type: Regular Research Grants
FAPESP's process: 08/57856-6 - National Institute of Science and Technology - Quantum Information
Grantee:Amir Ordacgi Caldeira
Support type: Research Projects - Thematic Grants
FAPESP's process: 17/07787-7 - Use of quantum optimal control and dynamic decoupling to enable quantum simulation in semiconductor devices
Grantee:Felipe Fernandes Fanchini
Support type: Regular Research Grants