Quantum Pin Codes

Abstract : We introduce quantum pin codes: a class of quantum CSS codes. Quantum pin codes are a vast generalization of quantum color codes and Reed-Muller codes. A lot of the structure and properties of color codes carries over to pin codes. Pin codes have gauge operators, an unfolding procedure and their stabilizers form multi-orthogonal spaces. This last feature makes them interesting for devising magic-state distillation protocols. We study examples of these codes and their properties.
Keywords : Quantum Physics
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-02351417
Contributor : Christophe Vuillot <>
Submitted on : Wednesday, November 6, 2019 - 1:44:08 PM
Last modification on : Friday, November 8, 2019 - 4:01:44 PM

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  • HAL Id : hal-02351417, version 1

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Christophe Vuillot, Nikolas P. Breuckmann. Quantum Pin Codes. 2019. ⟨hal-02351417⟩

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