Asymptotic State Discrimination and a Strict Hierarchy in Distinguishability Norms
Abstract
In this paper, we consider the problem of discriminating quantum states by local operations and classical communication (LOCC) when an arbitrarily small amount of error is permitted. This paradigm is known as asymptotic state discrimination, and we derive necessary conditions for when two multipartite states of any size can be discriminated perfectly by asymptotic LOCC. We use this new criterion to prove a gap in the LOCC and separable distinguishability norms. We then turn to the operational advantage of using two-way classical communication over one-way communication in LOCC processing. With a simple two-qubit product state ensemble, we demonstrate a strict majorization of the two-way LOCC norm over the one-way norm.
Keywords
Cite
@article{arxiv.1311.1536,
title = {Asymptotic State Discrimination and a Strict Hierarchy in Distinguishability Norms},
author = {Eric Chitambar and Min-Hsiu Hsieh},
journal= {arXiv preprint arXiv:1311.1536},
year = {2014}
}
Comments
Corrected errors from the previous draft. Close to publication form