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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Despite multipartite entanglement being a global property of a quantum state,a number of recent works have made it clear that it can be quantified usingonly local measurements. This is appealing because local measurements are theeasiest to implement on current quantum hardware. However, it remains an openquestion what protocol one should use in order to minimize the resourcesrequired to estimate multipartite entanglement from local measurements alone.In this work, we construct and compare several estimators of multipartiteentanglement based solely on the data from local measurements. We firstconstruct statistical estimators for a broad family of entanglement measuresusing local randomized measurement (LRM) data before providing a generalcriterion for the construction of such estimators in terms of projective2-designs. Importantly, this allows us to de-randomize the multipartiteestimation protocol based on LRMs. In particular, we show how local symmetricinformationally complete POVMs enable multipartite entanglement quantificationwith only a single measurement setting. For all estimators, we provide both theclassical post-processing cost and rigorous performance guarantees in the formof analytical upper bounds on the number of measurements needed to estimate themeasures to any desired precision.

Local measurement strategies for multipartite entanglement quantification