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Generalized Log-Majorization and Multivariate Trace Inequalities
- Source :
- Annales Henri Poincare vol. 18, no. 7, 2499-2521 (2017)
- Publication Year :
- 2016
-
Abstract
- We show that recent multivariate generalizations of the Araki-Lieb-Thirring inequality and the Golden-Thompson inequality [Sutter, Berta, and Tomamichel, Comm. Math. Phys. (2016)] for Schatten norms hold more generally for all unitarily invariant norms and certain variations thereof. The main technical contribution is a generalization of the concept of log-majorization which allows us to treat majorization with regards to logarithmic integral averages of vectors of singular values.<br />Comment: 17 pages
- Subjects :
- Mathematical Physics
Quantum Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Annales Henri Poincare vol. 18, no. 7, 2499-2521 (2017)
- Publication Type :
- Report
- Accession number :
- edsarx.1609.01999
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s00023-017-0569-y