Équipe de Recherche en Physique de l'Information Quantique


Year = {2014},
Abstract = {This work classifies the set of diagonal gates that can implement a single or two-qubit transversal
logical gate for qubit stabilizer codes. We show that individual physical gates on the underlying
qubits that compose the code are restricted to have entries of the form eic/2k
along their diagonal,
resulting in a similarly restricted class of logical gates that can be implemented in this manner.
Moreover, we show that all diagonal logical gates that can be implemented transversally by individual
physical diagonal gates must belong to the Clifford hierarchy. Furthermore, we can use this result
to prove a conjecture about transversal gates made by Zeng et al. in 2007.},
title = {Classification of transversal gates in qubit stabilizer codes},
author = {Jonas T. Anderson and Tomas Jochym-O'Connor},
eprint = {arXiv:1409.8320},
local-url = {AJO14.pdf}}