Algebraic and Geometric Methods for Construction of Topological Quantum Codes from Lattices

Autor: Edson Donizete de Carvalho, Waldir Silva Soares, Douglas Fernando Copatti, Carlos Alexandre Ribeiro Martins, Eduardo Brandani da Silva

Publikováno v: Axioms, Vol 13, Iss 10, p 676 (2024)

Current work provides an algebraic and geometric technique for building topological quantum codes. From the lattice partition derived of quotient lattices Λ′/Λ of index m combined with geometric technique of the projections of vector basis Λ′

Externí odkaz: https://doaj.org/article/74cd283af3a3450faabbf41eb92f7509

Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.

Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.

Structure of Lorentzian Tori with a Killing Vector Field

Autor: Sánchez, Miguel

Publikováno v: Transactions of the American Mathematical Society, 1997 Mar 01. 349(3), 1063-1080.

Externí odkaz: https://www.jstor.org/stable/2155408

Topological quantum codes from lattices partition on the n-dimensional flat tori

Autor: Waldir Silva Soares, Edson Donizete de Carvalho, Eduardo Brandani da Silva

Publikováno v: Scopus
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
Entropy
Volume 23
Issue 8
Entropy, Vol 23, Iss 959, p 959 (2021)

In this work, we show that an n-dimensional sublattice Λ′=mΛ of an n-dimensional lattice Λ induces a G=Zmn tessellation in the flat torus Tβ′=Rn/Λ′, where the group G is isomorphic to the lattice partition Λ/Λ′. As a consequence, we ob

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::40a02724898dcc5240674d74d22da071