Entanglement increases the error-correcting ability of quantum error-correcting codes

Ching-Yi Lai and Todd A. Brun

Phys. Rev. A 88, 012320 – Published 19 July 2013

Abstract

If entanglement is available, the error-correcting ability of quantum codes can be increased. We show how to optimize the minimum distance of an entanglement-assisted quantum error-correcting (EAQEC) code, obtained by adding ebits to a regular quantum stabilizer code, over different encoding operators. By this encoding optimization procedure, we found a number of EAQEC codes, including a family of entanglement-assisted quantum repetition codes and several optimal EAQEC codes.

Received 15 May 2012

DOI:https://doi.org/10.1103/PhysRevA.88.012320

Authors & Affiliations

Ching-Yi Lai^* and Todd A. Brun^†

Department of Electrical Engineering, University of Southern California, Los Angeles, California, USA 90089

^*laiching@usc.edu
^†tbrun@usc.edu

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Vol. 88, Iss. 1 — July 2013

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