Work

Chain rules for quantum channels

Year: 2022

Type: conference-paper

Abstract: Divergence chain rules for channels relate the divergence of a pair of channel inputs to the divergence of the corresponding channel outputs. An important special case of such a rule is the data-processing inequality, which tells us that if the same channel is applied to both inputs then the divergence cannot increase. Based on direct matrix analysis methods, we derive several Rényi divergence chain rules for channels in the quantum setting. Our results simplify and in some cases generalise previous derivations in the literature.

Source: IEEE International Symposium on Information Theory (ISIT)

DOI: 10.1109/isit50566.2022.9834391

Authors: Mario Berta, Marco Tomamichel

Institutions: California Institute of Technology, Amazon (United States), Imperial College London, Centre for Quantum Technologies, National University of Singapore

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: Ministry of Education, National Research Foundation, National Research Foundation Singapore, Ministry of Education - Singapore

OpenAlex ID: W4289655238

FWCI: 0.553

Cites: 48

Cited by: 4

Related to: 10