Zobrazeno 1 - 10
of 393
pro vyhledávání: '"Grassl, Markus"'
Autor:
Gundersen, Jaron Skovsted, Christensen, René Bødker, Grassl, Markus, Popovski, Petar, Wisniewski, Rafał
Classical coding theory contains several techniques to obtain new codes from other codes, including puncturing and shortening. For quantum codes, a form of puncturing is known, but its description is based on the code space rather than its generators
Externí odkaz:
http://arxiv.org/abs/2410.17754
The distance of a stabilizer quantum code is a very important feature since it determines the number of errors that can be detected and corrected. We present three new fast algorithms and implementations for computing the symplectic distance of the a
Externí odkaz:
http://arxiv.org/abs/2408.10743
Quasi-twisted codes are used here as the classical ingredients in the so-called Construction X for quantum error-control codes. The construction utilizes nearly self-orthogonal codes to design quantum stabilizer codes. We expand the choices of the in
Externí odkaz:
http://arxiv.org/abs/2405.15057
Let $a$ and $b$ be two non-zero elements of a finite field $\mathbb{F}_q$, where $q>2$. It has been shown that if $a$ and $b$ have the same multiplicative order in $\mathbb{F}_q$, then the families of $a$-constacyclic and $b$-constacyclic codes over
Externí odkaz:
http://arxiv.org/abs/2403.04600
The existence problem for maximal sets of equiangular lines (or SICs) in complex Hilbert space of dimension $d$ remains largely open. In a previous publication (arXiv:2112.05552) we gave a conjectural algorithm for how to construct a SIC if $d = n^2+
Externí odkaz:
http://arxiv.org/abs/2403.02872
Autor:
Prasad, Tushita, Grassl, Markus
Entanglement-assisted classical communication (EACC) aims to enhance communication systems using entanglement as an additional resource. However, there is a scarcity of explicit protocols designed for finite transmission scenarios, which presents a c
Externí odkaz:
http://arxiv.org/abs/2310.19774
Publikováno v:
Journal of Algebra and Its Applications Vol. 23, No. 7 (2024) 2550063
We introduce a new weight and corresponding metric over finite extension fields for asymmetric error correction. The weight distinguishes between elements from the base field and the ones outside of it, which is motivated by asymmetric quantum codes.
Externí odkaz:
http://arxiv.org/abs/2212.00431