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

Following the introduction of the task of reference frame error correction,we show how, by using reference frame alignment with clocks, one can add acontinuous Abelian group of transversal logical gates to any error-correctingcode. With this we further explore a way of circumventing the no-go theorem ofEastin and Knill, which states that if local errors are correctable, the groupof transversal gates must be of finite order. We are able to do this byintroducing a small error on the decoding procedure that decreases with thedimension of the frames used. Furthermore, we show that there is a directrelationship between how small this error can be and how accurate quantumclocks can be: the more accurate the clock, the smaller the error; and theno-go theorem would be violated if time could be measured perfectly in quantummechanics. The asymptotic scaling of the error is studied under a number ofscenarios of reference frames and error models. The scheme is also extended toerrors at unknown locations, and we show how to achieve this by simple majorityvoting related error correction schemes on the reference frames. In theOutlook, we discuss our results in relation to the AdS/CFT correspondence andthe Page-Wooters mechanism.

Continuous groups of transversal gates for quantum error correcting codes from finite clock reference frames