Duality in Entanglement-Assisted Quantum Error Correction
Quantum Physics
2013-05-17 v1 Information Theory
math.IT
Abstract
The dual of an entanglement-assisted quantum error-correcting (EAQEC) code is defined from the orthogonal group of a simplified stabilizer group. From the Poisson summation formula, this duality leads to the MacWilliams identities and linear programming bounds for EAQEC codes. We establish a table of upper and lower bounds on the minimum distance of any maximal-entanglement EAQEC code with length up to 15 channel qubits.
Cite
@article{arxiv.1302.4150,
title = {Duality in Entanglement-Assisted Quantum Error Correction},
author = {Ching-Yi Lai and Todd A. Brun and Mark M. Wilde},
journal= {arXiv preprint arXiv:1302.4150},
year = {2013}
}
Comments
This paper is a compact version of arXiv:1010.5506