English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper, we treat an asymptotic hypothesis testing (or statediscrimination with asymmetric treatment of errors) between an arbitrary fixedbipartite pure state and the completely mixed state by one-way LOCC, two-wayLOCC, and separable POVMs. As a result, we derive single-letterized formulasfor the Stein's lemma type of optimal error exponents under one-way LOCC,two-way LOCC and separable POVMs, the Chernoff bounds under one-way LOCC POVMsand separable POVMs, and the Hoeffding bounds under one-way LOCC POVMs in thewhole region of a parameter and under separable POVMs on a restricted region ofa parameter. We also numerically calculate the Chernoff and the Hoeffdingbounds under a class of three-step LOCC protocols in low-dimensional systemsand show that these bounds not only outperform the bounds for one-way LOCCPOVMs but also almost approximates the bounds for separable POVMs in theparameter region where analytical bounds for separable POVMs are derived.

Asymptotic local hypothesis testing between a pure bipartite state and the completely mixed state