Quantum Channel Simulation in Fidelity is no more difficult than State Splitting
Quantum Physics
2024-06-25 v2 Information Theory
math.IT
Abstract
Characterizing the minimal communication needed for the quantum channel simulation is a fundamental task in the quantum information theory. In this paper, we show that, in fidelity, the quantum channel simulation can be directly achieved via quantum state splitting without using a technique known as the de~Finetti reduction, and thus provide a pair of tighter one-shot bounds. Using the bounds, we also recover the quantum reverse Shannon theorem in a much simpler way.
Cite
@article{arxiv.2403.14416,
title = {Quantum Channel Simulation in Fidelity is no more difficult than State Splitting},
author = {Michael X. Cao and Rahul Jain and Marco Tomamichel},
journal= {arXiv preprint arXiv:2403.14416},
year = {2024}
}