A new class of designs which protect against quantum jumps
type: Item
instance of: scholarly article
title: A new class of designs which protect against quantum jumps
zbMATH Open document ID: 1033.94020
DOI: 10.1023/A:1024188005329
author: Thomas Beth
author: Christopher Charnes
author: M. Grassl
author: Gernot Alber
author: Aldo Delgado
author: M. Mussinger
published in: Designs, Codes and Cryptography
publication date: 2003-08-21T00:00:00Z
review text: The concept of quantum computer is used as a mathematical tool to describe the relations which may exist between some physical processes and some methods and techniques of combinatorics. After a short background on quantum information processing (i.e. quantum information, quantum computation, quantum error correction), the authors introduce the notion of \(t\)-error protecting jump code. Then they discuss the bounds on the parameters of jump codes and deal successively with block designs and jump codes, finite geometries and jump codes, and isodual codes and jump codes.
Mathematics Subject Classification ID: 94B60
Mathematics Subject Classification ID: 81P70
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05B25
zbMATH DE Number: 1968856
zbMATH Keywords: quantum computer
zbMATH Keywords: quantum information
zbMATH Keywords: quantum error correction
zbMATH Keywords: jump codes
zbMATH Keywords: block designs
zbMATH Keywords: finite geometries
zbMATH Keywords: isodual codes
reviewed by: Guy Jumarie
describes a project that uses: Magma
MaRDI profile type: Publication
full work available at URL: a:1024188005329
OpenAlex ID: W10158150
description: scientific article; zbMATH DE number 1968856