Robustness of coherence between two quantum dots mediated by Majorana fermions

doi:10.1088/1674-1056/27/7/077102

Abstract We study three important measurements used to identify the quantum correlations between two quantum dots (QDs) mediated by a pair of Majorana fermions (MFs) in a superconducting quantum wire. We find that, in addition to the quantum discord, the robustness of coherence (ROC) can also be considered as a quantity to measure the quantum correlation for the special case where the quantum entanglement is vanishing. For comparison, we study the quantum correlation between two QDs mediated by other fermions, i.e., regular fermions and superconducting fermions. We find that, when the quantum entanglement is not vanishing, i.e., the concurrence is finite, the detailed difference between the concurrence and ROC can be considered as an important implication for the existence of MFs.

Keywords: quantum coherence Majorana fermion non-locality

Received: 05 December 2017
Revised: 14 April 2018
Accepted manuscript online:

PACS:	71.10.Pm	(Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))
	74.90.+n	(Other topics in superconductivity)
	03.67.-a	(Quantum information)
	03.65.Ud	(Entanglement and quantum nonlocality)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11504106, 11247308, and 11447167) and the Fundamental Research Funds for the Central Universities of China (Grant Nos. 2018MS049 and 2018MS057).

Corresponding Authors: Liang Chen
E-mail: slchern@ncepu.edu.cn

Cite this article:

Liang Chen(陈亮), Ye-Qi Zhang(张业奇), Rong-Sheng Han(韩榕生) Robustness of coherence between two quantum dots mediated by Majorana fermions 2018 Chin. Phys. B 27 077102

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