Entanglement-assisted codeword stabilized quantum codes

Jeonghwan Shin, Jun Heo, Todd A. Brun

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Entangled qubits can increase the capacity of quantum error-correcting codes based on stabilizer codes. In addition, by using entanglement quantum stabilizer codes can be construct from classical linear codes that do not satisfy the dual-containing constraint. We show that it is possible to construct both additive and nonadditive quantum codes using the codeword stabilized quantum code framework. Nonadditive codes may offer improved performance over the more common stabilizer codes. Like other entanglement-assisted codes, the encoding procedure acts only on the qubits on Alice's side, and only these qubits are assumed to pass through the channel. However, errors in the codeword stabilized quantum code framework give rise to effective Z errors on Bob's side. We use this scheme to construct entanglement-assisted nonadditive quantum codes, in particular, ((5,16,2;1)) and ((7,4,5;4)) codes.

Original languageEnglish
Article number062321
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume84
Issue number6
DOIs
Publication statusPublished - 2011 Dec 22

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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