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

The $[[7,1,3]]$ Steane code and $[[23,1,7]]$ quantum Golay code have beenidentified as good candidates for fault-tolerant quantum computing via codeconcatenation. These two codes have transversal implementations of all Cliffordgates, but require some other scheme for fault-tolerant $T$ gates. Using magicstates, Clifford operations, and measurements is one common scheme, but magicstate distillation can have a large overhead. Code conversion is one avenue forimplementing a universal gate set fault-tolerantly without the use of magicstate distillation. Analogously to how the $[[7,1,3]]$ Steane code can befault-tolerantly converted to and from the $[[15,1,3]]$ Reed-Muller code whichhas a transversal $T$ gate, the $[[23,1,7]]$ Golay code can be converted to a$[[95,1,7]]$ triorthogonal code with a transversal $T$ gate. A crucialingredient to this procedure is the $[[49,1,5]]$ triorthogonal code, which canitself be seen as related to the self-dual $[[17,1,5]]$ 2D color code.Additionally, a new method for code conversion based off a transversal CNOTbetween the codes, rather than stabilizer measurements, is described.

Code conversion with the quantum Golay code for a universal transversal gate set