Four-dimensional toric code with non-Clifford transversal gates

The design of a four-dimensional toric code is explored with the goal of finding a lattice capable of implementing a logical CCCZ gate transversally. The established lattice is the octaplex tessellation, which is a regular tessellation of four-dimensional Euclidean space whose underlying 4-cell is t...

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Bibliographic Details
Main Authors: Tomas Jochym-O'Connor, Theodore J. Yoder
Format: Article
Language:English
Published: American Physical Society 2021-02-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.013118