A lower bound on the fidelity between two states in terms of their trace-distance and max-relative entropy

Fidelity is a fundamental and ubiquitous concept in quantum information theory. Fuchs-van de Graaf's inequalities deal with bounding fidelity from above and below. In this paper, we give a lower bound on the quantum fidelity between two states in terms of their trace-distance and their max-rela...

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Bibliographic Details
Published inLinear & multilinear algebra Vol. 64; no. 5; pp. 801 - 806
Main Authors Zhang, Lin, Bu, Kaifeng, Wu, Junde
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 03.05.2016
Taylor & Francis Ltd
Subjects
Algebra
Entropy
Fuchs-van de Graaf's inequalities
Inequalities
Information theory
Lower bounds
max-relative entropy
quantum fidelity
Quantum phenomena
tracenorm
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Summary:Fidelity is a fundamental and ubiquitous concept in quantum information theory. Fuchs-van de Graaf's inequalities deal with bounding fidelity from above and below. In this paper, we give a lower bound on the quantum fidelity between two states in terms of their trace-distance and their max-relative entropy.
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ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2015.1057098