Generalized Log-Majorization and Multivariate Trace Inequalities
نویسندگان
چکیده
منابع مشابه
Multivariate Trace Inequalities
Abstract We prove several trace inequalities that extend the Golden-Thompson and the Araki-LiebThirring inequality to arbitrarily many matrices. In particular, we strengthen Lieb’s triple matrix inequality. As an example application of our four matrix extension of the Golden-Thompson inequality, we prove remainder terms for the monotonicity of the quantum relative entropy and strong sub-additiv...
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2017
ISSN: 1424-0637,1424-0661
DOI: 10.1007/s00023-017-0569-y