Color Code with a Logical Control- S Gate Using Transversal T Rotations

The color code has been invaluable for the development of the theory of fault-tolerant logic gates using transversal rotations. Three-dimensional examples of the color code have shown us how its structure, specifically the intersection of the supports of logical operators, can give rise to non-Cliff...

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Veröffentlicht in:Physical review letters Jg. 135; H. 7; S. 070602
1. Verfasser: Brown, Benjamin J.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: United States 15.08.2025
ISSN:0031-9007, 1079-7114, 1079-7114
Online-Zugang:Volltext
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Zusammenfassung:The color code has been invaluable for the development of the theory of fault-tolerant logic gates using transversal rotations. Three-dimensional examples of the color code have shown us how its structure, specifically the intersection of the supports of logical operators, can give rise to non-Clifford T and CCZ gates. Here we present a color code with a logical control-S gate that is accomplished with transversal T and T^{†} rotations on its physical qubits.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0031-9007
1079-7114
1079-7114
DOI:10.1103/lwxd-fdlb