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 discuss a few mathematical aspects of random dynamical decoupling, a keytool procedure in quantum information theory. In particular, we place it in thecontext of discrete stochastic processes, limit theorems and CPT semigroups onmatrix algebras. We obtain precise analytical expressions for expectation andvariance of the density matrix and fidelity over time in the continuum-timelimit depending on the system Lindbladian, which then lead to rough short-timeestimates depending only on certain coupling strengths. We prove that dynamicaldecoupling does not work in the case of intrinsic (i.e., notenvironment-induced) decoherence, and together with the above-mentionedestimates this yields a novel method of partially identifying intrinsicdecoherence.

A continuous-time diffusion limit theorem for dynamical decoupling and intrinsic decoherence