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

We consider communication scenarios where one party sends quantum states ofknown dimensionality $D$, prepared with an untrusted apparatus, to another,distant party, who probes them with uncharacterized measurement devices. Weprove that, for any ensemble of reference pure quantum states, there exists onesuch prepare-and-measure scenario and a linear functional $W$ on its observedmeasurement probabilities, such that $W$ can only be maximized if thepreparations coincide with the reference states, modulo a unitary or ananti-unitary transformation. In other words, prepare-and-measure scenariosallow one to "self-test" arbitrary ensembles of pure quantum states. Arbitraryextreme $D$-dimensional quantum measurements, or sets thereof, can be similarlyself-tested. Our results rely on a robust generalization of Wigner's theorem, aknown result in particle physics that characterizes physical symmetries.

Self-testing in prepare-and-measure scenarios and a robust version of Wigner's theorem