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

Let rho_k, k=1,2,...,m, be the critical Werner state in a bipartite d_k byd_k quantum system, i.e., the one that separates the 1-distillable Wernerstates from those that are 1-indistillable. We propose a new conjecture (GDC)asserting that the tensor product of rho_k is 1-indistillable. This is muchstronger than the familiar conjecture saying that a single critical Wernerstate is indistillable. We prove that GDC is true for arbitrary m provided thatd_k is bigger than 2 for at most one index k. We reformulate GDC as anintriguing inequality for four arbitrary complex hypermatrices of type d_1 x... x d_m. This hypermatrix inequality is just the special case n=2 of a moregeneral conjecture (CBS conjecture) for 2n arbitrary complex hypermatrices ofthe same type. Surprisingly, the case n=1 turns out to be quite interesting asit provides hypermatrix generalization of the classical Lagrange identity. Wealso formulate the integral version of the CBS conjecture and derive theintegral version of the hypermatrix Lagrange identity.

Generalized distillability conjecture and generalizations of Cauchy-Bunyakovsky-Schwarz inequality and Lagrange identity