scholarly journals On quantum statistical inference

2003 ◽  
Vol 65 (4) ◽  
pp. 775-804 ◽  
Author(s):  
Ole E. Barndorff-Nielsen ◽  
Richard D. Gill ◽  
Peter E. Jupp
Keyword(s):  
Statistical Inference ◽  
Quantum Statistical

scholarly journals Geometry of Quantum Statistical Inference

1996 ◽  
Vol 77 (14) ◽  
pp. 2851-2854 ◽  
Author(s):  
Dorje C. Brody ◽  
Lane P. Hughston
Keyword(s):  
Statistical Inference ◽  
Quantum Statistical

scholarly journals SUFFICIENCY IN QUANTUM STATISTICAL INFERENCE: A SURVEY WITH EXAMPLES

2006 ◽  
Vol 09 (03) ◽  
pp. 331-351 ◽  
Author(s):  
ANNA JENČOVÁ ◽  
DÉNES PETZ
Keyword(s):  
Statistical Inference ◽  
Fisher Information ◽  
Exponential Family ◽  
Weyl Algebra ◽  
Quantum Fisher Information ◽  
Quantum Statistics ◽  
Quantum Statistical ◽  
Basic Concepts ◽  
Noncommutative Analogue

This paper attempts to give an overview about sufficiency in the setting of quantum statistics. The basic concepts are treated in parallel to the measure theoretic case. It turns out that several classical examples and results have a noncommutative analogue. Some of the results are presented without proof (but with exact references) and the presentation is intended to be self-contained. The main examples discussed in the paper are related to the Weyl algebra and to the exponential family of states. The characterization of sufficiency in terms of quantum Fisher information is a new result.

scholarly journals Semi-Density Matrices and Quantum Statistical Inference

2020 ◽  
Vol 4 (2) ◽  
pp. 025001
Author(s):  
Ahmad Shafiei Deh Abad ◽  
Mohammad Shahbazi
Keyword(s):  
Statistical Inference ◽  
Density Matrices ◽  
Quantum Statistical
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