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Quantum Pin Codes
- Source :
- IEEE Transactions on Information Theory, 68(9), Vuillot, C & Breuckmann, N P 2022, ' Quantum Pin Codes ', IEEE Transactions on Information Theory, vol. 68, no. 9, pp. 5955-5974 . https://doi.org/10.1109/TIT.2022.3170846, IEEE Transactions on Information Theory, IEEE Transactions on Information Theory, 2022, ⟨10.1109/TIT.2022.3170846⟩
- Publication Year :
- 2022
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 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.<br />21 pages, 10 figures
- Subjects :
- Quantum Physics
Space exploration
quantum fault-tolerant computation
FOS: Physical sciences
quantum codes
Logic gates
Library and Information Sciences
Codes
Generators
Computer Science Applications
Pins
[PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]
Condensed Matter::Superconductivity
Calderbank-Shor-Steane codes (CSS codes)
Qubit
Quantum Physics (quant-ph)
transversal gates
quantum error correction
Protocols
Information Systems
Subjects
Details
- ISSN :
- 15579654 and 00189448
- Volume :
- 68
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Information Theory
- Accession number :
- edsair.doi.dedup.....617bac8117fc89f5f3807815bcef1fdb