Quantum Brascamp–Lieb Dualities
نویسندگان
چکیده
Brascamp-Lieb inequalities are entropy which have a dual formulation as generalized Young inequalities. In this work, we introduce fully quantum version of duality, relating relative to matrix exponential type. We demonstrate novel duality by means examples from information theory -- including entropic uncertainty relations, strong data-processing inequalities, super-additivity and many more. As an application find relations for Gaussian operations that can be interpreted duals the well-known family `geometric'
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2023
ISSN: ['0010-3616', '1432-0916']
DOI: https://doi.org/10.1007/s00220-023-04678-w