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

Following the introduction of the task of $\textit{reference frame error}$ $\textit{correction}$ \cite{hayden2017error}, we show how, by using reference frame alignment with clocks, one can add a continuous Abelian group of transversal logical gates to $any$ error-correcting code. With this we furth...

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Bibliographic Details
Main Authors: Mischa P. Woods, Álvaro M. Alhambra
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2020-03-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2020-03-23-245/pdf/