Vuillot, Christophe;
Breuckmann, Nikolas P;
(2022)
Quantum Pin Codes.
IEEE Transactions on Information Theory
, 68
(9)
pp. 5955-5974.
10.1109/tit.2022.3170846.
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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.
| Type: | Article |
|---|---|
| Title: | Quantum Pin Codes |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1109/tit.2022.3170846 |
| Publisher version: | http://dx.doi.org/10.1109/TIT.2022.3170846 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Codes , Pins, Logic gates, Qubit, Generators, Protocols, Space exploration |
| UCL classification: | UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10148232 |
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