Inequalities for quantum relative entropy
Some logarithmic trace inequalities involving the notions of relative entropy are reobtained from a log-majorization result. The thermodynamic inequality is generalized and a chain of equivalent statements involving this inequality and the Peierls-Bogoliubov inequality is obtained.
| Main Author: | |
|---|---|
| Other Authors: | , |
| Format: | article |
| Language: | eng |
| Published: |
2005
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/10316/4628 |
| Country: | Portugal |
| Oai: | oai:estudogeral.sib.uc.pt:10316/4628 |
| Summary: | Some logarithmic trace inequalities involving the notions of relative entropy are reobtained from a log-majorization result. The thermodynamic inequality is generalized and a chain of equivalent statements involving this inequality and the Peierls-Bogoliubov inequality is obtained. |
|---|