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 show that a sequence $\{\Phi_n\}$ of quantum channels strongly convergesto a quantum channel $\Phi_0$ if and only if there exist a common environmentfor all the channels and a corresponding sequence $\{V_n\}$ of Stinespringisometries strongly converging to a Stinespring isometry $V_0$ of the channel$\Phi_0$.  We also give a quantitative description of the above characterization of thestrong convergence in terms of the appropriate metrics on the sets of quantumchannels and Stinespring isometries. As a result, the uniform selectivecontinuity of the complementary operation with respect to the strongconvergence is established.  We show discontinuity of the unitary dilation by constructing a stronglyconverging sequence of channels which can not be represented as a reduction ofa strongly converging sequence of unitary channels.  The Stinespring representation of strongly converging sequences of quantumchannels allows to prove the lower semicontinuity of the entropic disturbanceas a function of a pair (channel, input ensemble). Some corollaries of thisproperty are considered.

Strong convergence of quantum channels: continuity of the Stinespring dilation and discontinuity of the unitary dilation