TY - CHAP

T1 - How to correct small quantum errors

AU - Keyl, Michael

AU - Werner, Reinhard F.

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

M3 - Contribution to book/anthology

SN - 3-540-44354-1

VL - 611

T3 - Lecture Notes in Phys.

SP - 263

EP - 286

BT - Coherent evolution in noisy environments (Dresden, 2001)

A2 - Buchleitner, A

A2 - Hornberger, K

PB - Springer Nature

CY - Berlin

ER -