Abstract
In this paper, we introduce a unified framework to construct entanglement-assisted quantum error-correcting codes (QECCs), including additive and nonadditive codes, based on the codeword stabilized (CWS) framework on subsystems. The CWS framework is a scheme to construct QECCs, including both additive and nonadditive codes, and gives a method to construct a QECC from a classical error-correcting code in standard form. Entangled pairs of qubits (ebits) can be used to improve capacity of quantum error correction. In addition, it gives a method to overcome the dual-containing constraint. Operator quantum error correction (OQEC) gives a general framework to construct QECCs. We construct OQEC codes with ebits based on the CWS framework. This new scheme, entanglement-assisted operator codeword stabilized (EAOCWS) quantum codes, is the most general framework we know of to construct both additive and nonadditive codes from classical error-correcting codes.
| Original language | English |
|---|---|
| Pages (from-to) | 1921-1936 |
| Number of pages | 16 |
| Journal | Quantum Information Processing |
| Volume | 15 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2016 May 1 |
Bibliographical note
Publisher Copyright:© 2016, Springer Science+Business Media New York.
Keywords
- Codeword stabilized quantum codes
- Entanglement-assisted quantum error-correcting codes
- Operator quantum error-correcting codes
- Quantum error correction
- Quantum information
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Statistical and Nonlinear Physics
- Theoretical Computer Science
- Signal Processing
- Modelling and Simulation
- Electrical and Electronic Engineering