On distinguishability distillation and dilution exponents
Quantum Physics
2022-11-24 v2
Abstract
In this note, I define error exponents and strong converse exponents for the tasks of distinguishability distillation and dilution. These are counterparts to the one-shot distillable distinguishability and the one-shot distinguishability cost, as previously defined in the resource theory of asymmetric distinguishability. I show that they can be evaluated by semi-definite programming, establish a number of their properties, bound them using Renyi relative entropies, and relate them to each other.
Cite
@article{arxiv.2202.12433,
title = {On distinguishability distillation and dilution exponents},
author = {Mark M. Wilde},
journal= {arXiv preprint arXiv:2202.12433},
year = {2022}
}
Comments
v2: 29 pages, minor changes, published in Quantum Information Processing