Anyon condensation and the color code
MS Kesselring, JC Magdalena de la Fuente… - PRX Quantum, 2024 - APS
The manipulation of topologically ordered phases of matter to encode and process quantum
information forms the cornerstone of many approaches to fault-tolerant quantum computing …
information forms the cornerstone of many approaches to fault-tolerant quantum computing …
Poking holes and cutting corners to achieve Clifford gates with the surface code
BJ Brown, K Laubscher, MS Kesselring, JR Wootton - Physical Review X, 2017 - APS
The surface code is currently the leading proposal to achieve fault-tolerant quantum
computation. Among its strengths are the plethora of known ways in which fault-tolerant …
computation. Among its strengths are the plethora of known ways in which fault-tolerant …
Tailoring surface codes for highly biased noise
The surface code, with a simple modification, exhibits ultrahigh error-correction thresholds
when the noise is biased toward dephasing. Here, we identify features of the surface code …
when the noise is biased toward dephasing. Here, we identify features of the surface code …
2d compass codes
The compass model on a square lattice provides a natural template for building subsystem
stabilizer codes. The surface code and the Bacon-Shor code represent two extremes of …
stabilizer codes. The surface code and the Bacon-Shor code represent two extremes of …
Hyperbolic and semi-hyperbolic surface codes for quantum storage
We show how a hyperbolic surface code could be used for overhead-efficient quantum
storage. We give numerical evidence for a noise threshold of $1.3\% $ for the $\{4, 5\} …
storage. We give numerical evidence for a noise threshold of $1.3\% $ for the $\{4, 5\} …
The boundaries and twist defects of the color code and their applications to topological quantum computation
The color code is both an interesting example of an exactly solved topologically ordered
phase of matter and also among the most promising candidate models to realize fault …
phase of matter and also among the most promising candidate models to realize fault …
A scalable decoder micro-architecture for fault-tolerant quantum computing
P Das, CA Pattison, S Manne, D Carmean… - arxiv preprint arxiv …, 2020 - arxiv.org
Quantum computation promises significant computational advantages over classical
computation for some problems. However, quantum hardware suffers from much higher …
computation for some problems. However, quantum hardware suffers from much higher …
Fault-tolerant gates on hypergraph product codes
Quantum computers have the capacity to change the landscape of computing. To make
these devices robust to experimental imperfections, we require some form of quantum error …
these devices robust to experimental imperfections, we require some form of quantum error …
Planar floquet codes
C Vuillot - arxiv preprint arxiv:2110.05348, 2021 - arxiv.org
A protocol called the" honeycomb code", or generically a" Floquet code", was introduced by
Hastings and Haah in\cite {hastings_dynamically_2021}. The honeycomb code is a …
Hastings and Haah in\cite {hastings_dynamically_2021}. The honeycomb code is a …
Lattice surgery translation for quantum computation
In this paper we outline a method for a compiler to translate any non fault tolerant quantum
circuit to the geometric representation of the lattice surgery error-correcting code using …
circuit to the geometric representation of the lattice surgery error-correcting code using …