Quantum Pin Codes

Journal article (2022)

Authors

C. Vuillot QCD/Terhal Group - QuTech Advanced Research Centre , Inria
N. P. Breuckmann University College London
Research Group
QCD/Terhal Group (QuTech Advanced Research Centre) (TU Delft)
Copyright: © 2022 C. Vuillot, Nikolas P. Breuckmann
DOI: https://doi.org/10.1109/TIT.2022.3170846
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Published Date

2022

Language

English

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Faculty

QuTech Advanced Research Centre

Department

Quantum Computing Division

Research Group

QCD/Terhal Group

Abstract

We introduce quantum pin codes: a class of quantum CSS codes. Quantum pin codes are a generalization of quantum color codes and Reed-Muller codes and share a lot of their structure and properties. Pin codes have gauge operators, an unfolding procedure and their stabilizers form so-called $\ell $ -orthogonal spaces meaning that the joint overlap between any $\ell $ stabilizer elements is always even. This last feature makes them interesting for devising magic-state distillation protocols, for instance by using puncturing techniques. We study examples of these codes and their properties.

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