Home // International Journal On Advances in Security, volume 2, numbers 2 and 3, 2009 // View article
Authors:
Pradeep Sarvepalli
Andreas Klappenecker
Keywords: Clifford codes; encoding; quantum codes; stabilizer codes; subsystem codes;
Abstract:
Encoding quantum codes is an important component of quantum error correction and of relevance in some cryptographic protocols such as entanglement distillation and quantum secret sharing. In this paper, we investigate the encoding of subsystem codes and propose efficient encoding methods for them. We show that encoding of subsystem codes can be reduced to encoding of a related stabilizer code making it possible to use the known results on encoding of stabilizer codes. Along the way we also show how Clifford codes can be encoded. We present two systematic methods to encode subsystem codes and suggest optimizations for lower complexity. These encoding schemes can tolerate initialization errors on the so-called gauge qubits
Pages: 142 to 155
Copyright: Copyright (c) to authors, 2009. Used with permission.
Publication date: December 1, 2009
Published in: journal
ISSN: 1942-2636