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Journal Articles IEEE Transactions on Information Theory Year : 2022

Quantum Pin Codes

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 ℓ-orthogonal spaces meaning that the joint overlap between any ℓ 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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Dates and versions

hal-02351417 , version 1 (06-11-2019)
hal-02351417 , version 2 (17-06-2022)

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Cite

Christophe Vuillot, Nikolas P. Breuckmann. Quantum Pin Codes. IEEE Transactions on Information Theory, 2022, ⟨10.1109/TIT.2022.3170846⟩. ⟨hal-02351417v2⟩
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