Quantum-to-classical rate distortion coding
Abstract
We establish a theory of quantum-to-classical rate distortion coding. In this setting, a sender Alice has many copies of a quantum information source. Her goal is to transmit classical information about the source, obtained by performing a measurement on it, to a receiver Bob, up to some specified level of distortion. We derive a single-letter formula for the minimum rate of classical communication needed for this task. We also evaluate this rate in the case in which Bob has some quantum side information about the source. Our results imply that, in general, Alice's best strategy is a non-classical one, in which she performs a collective measurement on successive outputs of the source.
Cite
@article{arxiv.1210.6962,
title = {Quantum-to-classical rate distortion coding},
author = {Nilanjana Datta and Min-Hsiu Hsieh and Mark M. Wilde and Andreas Winter},
journal= {arXiv preprint arXiv:1210.6962},
year = {2013}
}
Comments
21 pages, 3 png figures, accepted for publication in Journal of Mathematical Physics