Generalized Fault-Tolerant Quantum Computation over Nice Rings Conference Paper

abstract

• 2016 IEEE. Transversal operations are an elegant way to realize fault-tolerant quantum gates. Fault-tolerant quantum computation has been studied in detail over a finite field. In this paper, we derive transversal Clifford operations for CSS codes over nice rings, including Fourier transforms, SUM gates, and phase gates. Transversal operations alone cannot provide a computationally universal set of gates. As an example of a non-transversal gate, we derive fault-tolerant implementations of doubly-controlled Z gates for triorthogonal stabilizer codes over nice rings.

name of conference

• 2016 IEEE International Symposium on Information Theory (ISIT)

authors

• Klappenecker, Andreas

published proceedings

• 2016 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY

author list (cited authors)

• Lee, S., & Klappenecker, A.

citation count

• 0

complete list of authors

• Lee, Sangjun||Klappenecker, Andreas

publication date

• July 2016

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE International Symposium on Information Theory - Proceedings  Journal

Digital Object Identifier (DOI)

• 10.1109/isit.2016.7541705

International Standard Book Number (ISBN) 13

• 9781509018062

start page

• 2279

end page

• 2283

volume

• 2016-August

URL

• http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=7532279