تقرير
Maps on positive operators preserving R\'enyi type relative entropies and maximal $f$-divergences
العنوان: | Maps on positive operators preserving R\'enyi type relative entropies and maximal $f$-divergences |
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المؤلفون: | Gaál, Marcell, Nagy, Gergő |
سنة النشر: | 2017 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Functional Analysis, 47B49, 46N50 |
الوصف: | In this paper we deal with two quantum relative entropy preserver problems on the cones of positive (either positive definite or positive semidefinite) operators. The first one is related to a quantum R\'enyi relative entropy like quantity which plays an important role in classical-quantum channel decoding. The second one is connected to the so-called maximal $f$-divergences introduced by D. Petz and M. B. Ruskai who considered this quantity as a generalization of the usual Belavkin-Staszewski relative entropy. We emphasize in advance that all the results are obtained for finite dimensional Hilbert spaces. |
نوع الوثيقة: | Working Paper |
DOI: | 10.1007/s11005-017-1021-4 |
URL الوصول: | http://arxiv.org/abs/1703.05244 |
رقم الأكسشن: | edsarx.1703.05244 |
قاعدة البيانات: | arXiv |
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