vix.ing · top · new · best · stats · spec

How to Correct Small Quantum Errors

2002/01/01 by Michael Keyl, M. Keyl, Reinhard F. Werner +1 · 1 citation
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1007/3-540-45855-7_7

LaTeX2e, 23 pages, 6 figures (3 eps, 3 pstricks)

openalex publication_date 2002/01/01 · arxiv created 2002/06/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

The theory of quantum error correction is a cornerstone of quantum information processing. It shows that quantum data can be protected against decoherence effects, which otherwise would render many of the new quantum applications practically impossible. In this paper we give a self contained introduction to this theory and to the closely related concept of quantum channel capacities. We show, in particular, that it is possible (using appropriate error correcting schemes) to send a non-vanishing amount of quantum data undisturbed (in a certain asymptotic sense) through a noisy quantum channel T, provided the errors produced by T are small enough.

Citations

Cited by