One-Shot Triple-Resource Trade-Off in Quantum Channel Coding
Quantum Physics
2023-02-14 v2
Abstract
We analyze a task in which classical and quantum messages are simultaneously communicated via a noisy quantum channel, assisted with a limited amount of shared entanglement. We derive direct and converse bounds for the one-shot capacity region, represented by the smooth conditional entropies and the error tolerance. The proof is based on the randomized partial decoupling theorem, which is a generalization of the decoupling theorem. The two bounds match in the asymptotic limit of infinitely many uses of a memoryless channel and coincide with the previous result obtained by Hsieh and Wilde. Direct and converse bounds for various communication tasks are obtained as corollaries, both for the one-shot and asymptotic scenarios.
Cite
@article{arxiv.2004.12593,
title = {One-Shot Triple-Resource Trade-Off in Quantum Channel Coding},
author = {Eyuri Wakakuwa and Yoshifumi Nakata},
journal= {arXiv preprint arXiv:2004.12593},
year = {2023}
}