Quantum Pin Codes

Title

Quantum Pin Codes

 Author

Vuillot, C. (TU Delft QCD/Terhal Group; Inria) ORCID 0000-0002-3445-0179
Breuckmann, Nikolas P. (University College London (UCL))

Date

2022

 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.


 Subject

Codes
Generators
Logic gates
Pins
Protocols
Qubit
Space exploration

 To reference this document use:

http://resolver.tudelft.nl/uuid:ce5f451c-336e-4346-856c-42e26ac55d5e

 DOI

https://doi.org/10.1109/TIT.2022.3170846

 ISSN

0018-9448

 Source

IEEE Transactions on Information Theory, 68 (9), 5955-5974

 Part of collection

Institutional Repository

 Document type

journal article

 Rights

© 2022 C. Vuillot, Nikolas P. Breuckmann
Files
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