Revisiting the equality conditions of the data-processing inequality for the sandwiched Rényi divergence
Abstract
We provide a transparent, simple, and unified treatment of recent results on the equality conditions for the data-processing inequality of the sandwiched quantum Rényi divergence, including the statement that the equality in the data-processing implies recoverability via the Petz recovery map for the full range of the Rényi parameter α recently proven by Jenčová [J. Phys. A: Math. Theor. 50, 085303 (2017)]. We also obtain a new set of equality conditions, generalizing a previous result by Leditzky et al. [Lett. Math. Phys. 107, 61 (2017)].
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- May 01, 2022
- Source ID
- 10.1063/5.0058984
Entities
People
- Henrik Wilming
- Jinzhao Wang
Organizations
- Air Force Office of Scientific Research
- ETH Zurich
- National Center of Competence in Research Quantum Science and Technology