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...

Full description

Saved in:
Bibliographic Details
Published in:Physical review letters Vol. 135; no. 7; p. 070602
Main Author: Brown, Benjamin J.
Format: Journal Article
Language:English
Published: United States 15.08.2025
ISSN:0031-9007, 1079-7114, 1079-7114
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
Bibliography: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