Codes and Protocols for Distilling $T$, controlled-$S$, and Toffoli Gates

Codes and Protocols for Distilling $T$, controlled-$S$, and Toffoli Gates

We present several different codes and protocols to distill $T$, controlled-$S$, and Toffoli (or $CCZ$) gates. One construction is based on codes that generalize the triorthogonal codes, allowing any of these gates to be induced at the logical level by transversal $T$. We present a randomized constr...

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Bibliographic Details
Main Authors:	Jeongwan Haah, Matthew B. Hastings
Format:	Article
Language:	English
Published:	Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2018-06-01
Series:	Quantum
Online Access:	https://quantum-journal.org/papers/q-2018-06-07-71/pdf/

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