ON THE UNIQUENESS OF THE CHENTSOV METRIC IN QUANTUM INFORMATION GEOMETRY Journal Articles

abstract

• We show that, in finite dimensions, the only monotone metrics on the space of invertible density matrices for which the (+1) and (-1) affine connections are mutually dual are constant multiples of the Bogoliubov–Kubo–Mori metric.

authors

• Grasselli, Matheus Da Rocha
• STREATER, RF

status

• published 

publication date

• June 2001

has subject area

• 0102 Applied Mathematics (FoR)
• 0104 Statistics (FoR)
• General Mathematics (Science Metrix)

published in

• Infinite Dimensional Analysis Quantum Probability and Related Topics  Journal

keywords

• Mathematics
• Mathematics, Applied
• Physical Sciences
• Physics
• Physics, Mathematical
• Quantum Science & Technology
• SPACES
• Science & Technology
• Statistics & Probability

Digital Object Identifier (DOI)

• 10.1142/s0219025701000462

start page

• 173

end page

• 182

volume

• 04

issue

• 02