Multi-party Purity Distillation and Instrument Simulation in the One-Shot Regime
Quantum Physics
2026-02-03 v4 Information Theory
math.IT
Abstract
We address the problem of distributed multi-party purity distillation (PD) involving three parties in the one-shot regime. By obtaining a one-shot inner bound for the distributed instrument simulation problem that naturally generalizes to the best known asymptotic inner bound, and combining with a recent one-shot single party local purity concentration protocol, we design a one-shot multi-party PD protocol, analyze performance and derive a new inner bound. The derived inner bound naturally generalizes to the best known asymptotic inner bound.
Keywords
Cite
@article{arxiv.2109.12586,
title = {Multi-party Purity Distillation and Instrument Simulation in the One-Shot Regime},
author = {Igor Bernard and Arun Padakandla},
journal= {arXiv preprint arXiv:2109.12586},
year = {2026}
}