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"Logical Blocks for Fault-Tolerant Topological Quantum Computation", PsiQuantum, 2023

Reviewed August 21, 2023

Citation: Bombin, Hector, et al. "Logical blocks for fault-tolerant topological quantum computation." PRX Quantum 4.2 (2023): 020303.

Web: https://journals.aps.org/prxquantum/abstract/10.1103/PRXQuantum.4.020303

Tags: Abelian-anyons

This is a big paper detailing lots of the modern theory of topological defects in the surface code. In particular, there is a detailed treatment of domain walls, twists, boundaries, and other sorts of defects.

As per usual, this sort of detailed discussion is followed by a new error correction proposal. It is based on teleporting twists, and it claims to potentially offer recourse reductions.

This paper seems to not have that much new material. It is mainly pulling together lots of references to describe universal fault-tolerant quantum computing with surface codes. In the words of the authors:

"While quantum error-corrected memories have been extensively studied in the literature, explicit constructions and detailed analyses of thresholds and resource overheads of universal logical gate sets have so far been limited. In this paper, we present a comprehensive framework for universal fault-tolerant logic."