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

Every entangled state can be perturbed, for instance by decoherence, and stayentangled. For a large class of pure entangled states, we show how large theperturbation can be. Our class includes all pure bipartite and all maximallyentangled states. For an entangled state, E, the constucted neighborhood ofentangled states is the region outside two parallel hyperplanes, which sandwichthe set of all separable states. The states for which these neighborhoods arelargest are the maximally entangled ones. As the number of particles, or thedimensions of the Hilbert spaces for two of the particles increases, thedistance between two of the hyperplanes which sandwich the separable statesgoes to zero. It is easy to decide if a state Q is in the neighborhood ofentangled states we construct for an entangled state E. One merely has to checkif the trace of EQ is greater than a constant which depends upon E and which wedetermine.Comment: Corrected first author's e-mail address. All the rest remains  unchange

Preserving entanglement under perturbation and sandwiching all separable states