Asymmetric Entanglement-Assisted Quantum Error-Correcting Codes and BCH Codes

Autor: Carlos Galindo, Fernando Hernando, Ryutaroh Matsumoto, Diego Ruano

Publikováno v: IEEE Access, Vol 8, Pp 18571-18579 (2020)

The concept of asymmetric entanglement-assisted quantum error-correcting code (asymmetric EAQECC) is introduced in this article. Codes of this type take advantage of the asymmetry in quantum errors since phase-shift errors are more probable than qudi

Externí odkaz: https://doaj.org/article/41dea9c11d8641259f32113787955e56

Stabilizer quantum codes defined by trace-depending polynomials

Autor: Carlos Galindo, Fernando Hernando, Helena Martín-Cruz, Diego Ruano

Publikováno v: Finite Fields and Their Applications. 87:102138

Quantum error-correcting codes with good parameters can be constructed by evaluating polynomials at the roots of the polynomial trace. In this paper, we propose to evaluate polynomials at the roots of trace-depending polynomials (given by a constant

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68f439394d8732764f51c46db8623508
https://doi.org/10.1016/j.ffa.2022.102138

Fast Algorithms for the Computation of the Minimum Distance of a Random Linear Code

Autor: Fernando Hernando, Francisco D. Igual, Gregorio Quintana-Ortí

Publikováno v: ACM Transactions on Mathematical Software. 45:1-28

The minimum distance of an error-correcting code is an important concept in information theory. Hence, computing the minimum distance of a code with a minimum computational cost is crucial to many problems in this area. In this article, we present an

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c0ab4f4a366c873c61f26e400269281
https://doi.org/10.1145/3302389

Entanglement-assisted quantum error-correcting codes from RS codes and BCH codes with extension degree 2

Autor: Carlos Galindo, Diego Ruano, Fernando Hernando

Publikováno v: UVaDOC. Repositorio Documental de la Universidad de Valladolid
instname
Repositori Universitat Jaume I
Universitat Jaume I
UVaDOC: Repositorio Documental de la Universidad de Valladolid
Universidad de Valladolid

Producción Científica
Entanglement-assisted quantum error correcting codes (EAQECCs) constructed from Reed-Solomon codes and BCH codes are considered in this work. It is provided a complete and explicit formula for the parameters of EAQECCs co

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39c11f8d2e4c4f32360a63899824e780
https://doi.org/10.1007/s11128-021-03101-4

Entanglement-assisted quantum error-correcting codes over arbitrary finite fields

Autor: Diego Ruano, Ryutaroh Matsumoto, Carlos Galindo, Fernando Hernando

Publikováno v: Galindo, C, Hernando, F, Yamashita, R & Ruano, D 2019, ' Entanglement-assisted quantum error-correcting codes over arbitrary finite fields ', Quantum Information Processing, vol. 18, no. 4, 116 . https://doi.org/10.1007/s11128-019-2234-5
Repositori Universitat Jaume I
Universitat Jaume I
UVaDOC. Repositorio Documental de la Universidad de Valladolid
instname

We prove that the known formulae for computing the optimal number of maximally entangled pairs required for entanglement-assisted quantum error-correcting codes (EAQECCs) over the binary field hold for codes over arbitrary finite fields as well. We a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21012009de5f49c193a6f140b4bf24c1
https://vbn.aau.dk/da/publications/13ae8610-0515-4868-b05e-341f3ed26ae3