Inequalities for quantum relative entropy

• Author(s): Bebiano, N. ; Lemos, R. ; Providência, J. da
• Date: 2005
• Persistent ID: http://hdl.handle.net/10316/4628
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Relative entropy; Logarithmic trace inequalities; Peierls-Bogoliubov inequality; Thermodynamic inequality
• Document Type: Article
• Language: English

Description

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. http://www.sciencedirect.com/science/article/B6V0R-4CPM5VG-2/1/d98926b2da1f2e0c291953700e9a24db