Alternative non-Markovianity measure by divisibility of dynamical maps

S. C. Hou, X. X. Yi, S. X. Yu, and C. H. Oh

Phys. Rev. A 83, 062115 – Published 22 June 2011

Abstract

By identifying non-Markovianity with nondivisibility, we propose a measure of non-Markovianity for quantum processes. Three examples are presented, and the measure of non-Markovianity is calculated and discussed for these examples. Comparisons with other measures of non-Markovianity are made. The present non-Markovianity measure has the merit that no optimization procedure is required and it is finite for any quantum process, which greatly enhances the practical relevance of the proposed measure.

Received 1 February 2011

DOI:https://doi.org/10.1103/PhysRevA.83.062115

Authors & Affiliations

S. C. Hou¹, X. X. Yi^1,2, S. X. Yu^2,3, and C. H. Oh²

¹School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China
²Centre for Quantum Technologies and Department of Physics, National University of Singapore, 3 Science Drive 2, Singapore 117543, Singapore
³Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China

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Vol. 83, Iss. 6 — June 2011

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Physical Review A

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