Duality in entanglement-assisted quantum error correction

Authors

Ching Yi Lai, University of Southern California
Todd A. Brun, University of Southern California
Mark M. Wilde, Université McGill

Document Type

Conference Proceeding

Publication Date

5-23-2013

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. © 1963-2012 IEEE.

Publication Source (Journal or Book title)

IEEE Transactions on Information Theory

First Page

4020

Last Page

4024

Recommended Citation

Lai, C., Brun, T., & Wilde, M. (2013). Duality in entanglement-assisted quantum error correction. IEEE Transactions on Information Theory, 59 (6), 4020-4024. https://doi.org/10.1109/TIT.2013.2246274