Entanglement-assisted quantum error-correcting codes from subfield subcodes of projective Reed-Solomon codes
arXiv:2304.08121 · doi:10.1007/s40314-023-02506-4
Abstract
We study the subfield subcodes of projective Reed-Solomon codes and their duals: we provide bases for these codes and estimate their parameters. With this knowledge, we can construct symmetric and asymmetric entanglement-assisted quantum error-correcting codes, which in many cases have new or better parameters than the ones available in the literature.
References in corpus (11)
- Good Quantum Error-Correcting Codes Exist
- Correcting Quantum Errors with Entanglement
- Asymmetric quantum error correcting codes
- Entanglement-assisted quantum error-correcting codes over arbitrary finite fields
- Stabilizer quantum codes from -affine variety codes and a new Steane-like enlargement
- Asymmetric entanglement-assisted quantum error-correcting codes and BCH codes
- Quantum codes from affine variety codes and their subfield-subcodes
- New binary and ternary LCD codes
- The Dimension of Subcode-Subfields of Shortened Generalized Reed Solomon Codes
- Classical and Quantum Evaluation Codes at the Trace Roots
- Subfield-Subcodes of Generalized Toric codes