A Unified Formulation for the Bures-Wasserstein and Log-Euclidean/Log-Hilbert-Schmidt Distances between Positive Definite Operators

2019 ◽  
pp. 475-483 ◽  
Author(s):  
Hà Quang Minh
Keyword(s):  
Positive Definite ◽  
Positive Definite Operators

scholarly journals Some trace inequalities for operators

1995 ◽  
Vol 58 (2) ◽  
pp. 281-286 ◽  
Author(s):  
Xinmin Yang
Keyword(s):  
Positive Definite ◽  
Positive Definite Operators ◽  
Open Question ◽  
Trace Inequalities ◽  
Inequalities For Operators

AbstractIn this paper, we obtain some trace inequalities for arbitrary finite positive definite operators. Finally an open question is presented.

scholarly journals Maps on positive definite operators preserving the quantum $$\chi _\alpha ^2$$ χ α 2 -divergence

2017 ◽  
Vol 107 (12) ◽  
pp. 2267-2290 ◽  
Author(s):  
Hong-Yi Chen ◽  
György Pál Gehér ◽  
Chih-Neng Liu ◽  
Lajos Molnár ◽  
Dániel Virosztek ◽  
...  
Keyword(s):  
Positive Definite ◽  
Positive Definite Operators
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