2017/06/30 by Kabgyun Jeong, Soojoon Lee, Hyunseok Jeong · 8 citations
Computer Science · Mathematics · Physics and Astronomy · #Conditional entropy #Conditional quantum entropy #Discrete mathematics #Generalized relative entropy #Joint quantum entropy #Majorization #Mathematics #Open quantum system #Physics #Principle of maximum entropy #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum channel #Quantum discord #Quantum entanglement #Quantum information #Quantum mechanics #Quantum operation #Quantum relative entropy #Statistical physics #Statistics #Von Neumann entropy #quant-ph
paper · pdf · doi:10.1088/1751-8121/aab037
published in Journal of Physics A Mathematical and Theoretical 51(14), 145303 (Institute of Physics) · 6 pages, 1 figure, and 1 table; Close to published version
openalex created_date 2017/07/14 · openalex publication_date 2018/02/16 · arxiv created 2018/03/08 · arxiv updated 2018/03/09 · openalex updated_date 2026/08/05
Abstract We propose an extension of the quantum entropy power inequality for finite dimensional quantum systems, and prove a conditional quantum entropy power inequality by using the majorization relation as well as the concavity of entropic functions also given by Audenaert et al (2016 J. Math. Phys . 57 052202). Here, we make particular use of the fact that a specific local measurement after a partial swap operation (or partial swap quantum channel) acting only on finite dimensional bipartite subsystems does not affect the majorization relation for the conditional output states when a separable ancillary subsystem is involved. We expect our conditional quantum entropy power inequality to be useful, and applicable in bounding and analyzing several capacity problems for quantum channels.