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Frontiers of Physics

ISSN 2095-0462

ISSN 2095-0470(Online)

CN 11-5994/O4

邮发代号 80-965

2019 Impact Factor: 2.502

Frontiers of Physics  2018, Vol. 13 Issue (4): 130309   https://doi.org/10.1007/s11467-018-0773-3
  本期目录
Quantifying the quantumness of ensembles via unitary similarity invariant norms
Xian-Fei Qi1, Ting Gao1(), Feng-Li Yan2()
1. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, China
2. College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050024, China
 全文: PDF(142 KB)  
Abstract

The quantification of the quantumness of a quantum ensemble has theoretical and practical significance in quantum information theory. We propose herein a class of measures of the quantumness of quantum ensembles using the unitary similarity invariant norms of the commutators of the constituent density operators of an ensemble. Rigorous proof shows that they share desirable properties for a measure of quantumness, such as positivity, unitary invariance, concavity under probabilistic union, convexity under state decomposition, decreasing under coarse graining, and increasing under fine graining. Several specific examples illustrate the applications of these measures of quantumness in studying quantum information.

Key wordsthe quantumness of quantum ensemble    measures of quantumness of quantum ensembles    unitary similarity invariant norms
收稿日期: 2018-01-05      出版日期: 2018-04-19
Corresponding Author(s): Ting Gao,Feng-Li Yan   
 引用本文:   
. [J]. Frontiers of Physics, 2018, 13(4): 130309.
Xian-Fei Qi, Ting Gao, Feng-Li Yan. Quantifying the quantumness of ensembles via unitary similarity invariant norms. Front. Phys. , 2018, 13(4): 130309.
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https://academic.hep.com.cn/fop/CN/10.1007/s11467-018-0773-3
https://academic.hep.com.cn/fop/CN/Y2018/V13/I4/130309
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