Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound.

I develop methods for analyzing quantum error-correcting codes, and use these methods to construct an infinite class of codes saturating the quantum Hamming bound. These codes encode {ital k}={ital n}{minus}{ital j}{minus}2 quantum bits (qubits) in {ital n}=2{sup {ital j}} qubits and correct {ital t}=1 error. {copyright} {ital 1996 The American Physical Society.}