Robustness of coherence between two quantum dots mediated by Majorana fermions

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

中国物理B ›› 2018, Vol. 27 ›› Issue (7): 77102-077102.doi: 10.1088/1674-1056/27/7/077102

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇下一篇

Robustness of coherence between two quantum dots mediated by Majorana fermions

Liang Chen(陈亮), Ye-Qi Zhang(张业奇), Rong-Sheng Han(韩榕生)

Mathematics and Physics Department, North China Electric Power University, Beijing 102206, China

收稿日期:2017-12-05 修回日期:2018-04-14 出版日期:2018-07-05 发布日期:2018-07-05
通讯作者: Liang Chen E-mail:slchern@ncepu.edu.cn
基金资助:
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).

Robustness of coherence between two quantum dots mediated by Majorana fermions

Liang Chen(陈亮), Ye-Qi Zhang(张业奇), Rong-Sheng Han(韩榕生)

Mathematics and Physics Department, North China Electric Power University, Beijing 102206, China

Received:2017-12-05 Revised:2018-04-14 Online:2018-07-05 Published:2018-07-05
Contact: Liang Chen E-mail:slchern@ncepu.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: quantum coherence, Majorana fermion, non-locality

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.

Key words: quantum coherence, Majorana fermion, non-locality

中图分类号: (Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))

71.10.Pm

74.90.+n (Other topics in superconductivity) 03.67.-a (Quantum information) 03.65.Ud (Entanglement and quantum nonlocality)

陈亮, 张业奇, 韩榕生. Robustness of coherence between two quantum dots mediated by Majorana fermions[J]. 中国物理B, 2018, 27(7): 77102-077102.

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[J]. Chin. Phys. B, 2018, 27(7): 77102-077102.

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Robustness of coherence between two quantum dots mediated by Majorana fermions

Robustness of coherence between two quantum dots mediated by Majorana fermions

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