ArticleEntropy (Basel, Switzerland)2022
Entanglement-Assisted Quantum Codes from Cyclic Codes.
Article in Entropy (Basel, Switzerland), 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Asymmetric Entanglement-Assisted Quantum MDS Codes Constructed from Constacyclic Codes.Entropy (Basel, Switzerland) · 2023Article
- On Optimal and Quantum Code Construction from Cyclic Codes over FEntropy (Basel, Switzerland) · 2023Article
- Stabilizer codes for open quantum systems.Scientific reports · 2023Article
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2 authors.
Funding
Abstract
Entanglement-assisted quantum-error-correcting (EAQEC) codes are quantum codes which use entanglement as a resource. These codes can provide better error correction than the (entanglement unassisted) codes derived from the traditional stabilizer formalism. In this paper, we provide a general method to construct EAQEC codes from cyclic codes. Afterwards, the method is applied to Reed-Solomon codes, BCH codes, and general cyclic codes. We use the Euclidean and Hermitian construction of EAQEC codes. Three families have been created: two families of EAQEC codes are maximal distance separable (MDS), and one is almost MDS or almost near MDS. The comparison of the codes in this paper is mostly based on the quantum Singleton bound.
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