Non-Markovianity quantifier of an arbitrary quantum process

Author(s)

Debarba, Tiago ; Fanchini, Felipe F.

• Document type: Journal article
• Source: PHYSICAL REVIEW A; v. 96, n. 6, p. 6-pg., 2017-12-12.

Abstract

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: 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: 17/07787-7 - Use of quantum optimal control and dynamic decoupling to enable quantum simulation in semiconductor devices
• Grantee: Felipe Fernandes Fanchini
• Support Opportunities: Regular Research Grants