Constructing quantum codes

Abstract

Quantum error correcting codes are indispensable for quantum information processing and quantum computation. In 1995 and 1996, Shor and Steane gave first several examples of quantum codes from classical error correcting codes. The construction of efficient quantum codes is now an active multi-discipline research field. In this paper we review the known several constructions of quantum codes and present some examples.

Keywords

quantum error-correcting code / CSS construction / enlargement of the CSS code / symplectic inner product / twisted code / AG-code