Some aspects of quantum sufficiency for finite and full von Neumann algebras

DOI10.1007/s11005-021-01428-8zbMath1482.46078OpenAlexW3179319064MaRDI QIDQ2046835

Andrzej Łuczak

Publication date: 19 August 2021

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-021-01428-8

zbMATH Keywords

von Neumann algebraconditional expectationquantum sufficiencynormal and pure states

Mathematics Subject Classification ID

Noncommutative probability and statistics (46L53) Sufficient statistics and fields (62B05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantum sufficiency in the operator algebra framework
• Notes on non-commutative integration
• Positive projections of von Neumann algebras onto \(JW\)-algebras
• Positive cones and \(L^p\)-spaces for von Neumann algebras
• Theory of operator algebras. II
• Sufficiency in quantum statistical inference
• A non-commutative extension of abstract integration
• Conditional expectation in an operator algebra. III.
• Invariant states for positive operator semigroups
• Non-commutative L^P-spaces
• SUFFICIENCY IN QUANTUM STATISTICAL INFERENCE: A SURVEY WITH EXAMPLES
• Conditional expectation in an operator algebra. IV. Entropy and information

This page was built for publication: Some aspects of quantum sufficiency for finite and full von Neumann algebras