Entanglement-assisted operator codeword stabilized quantum codes
- Authors
- Shin, Jeonghwan; Heo, Jun; Brun, Todd A.
- Issue Date
- 5월-2016
- Publisher
- SPRINGER
- Keywords
- Quantum information; Quantum error correction; Codeword stabilized quantum codes; Entanglement-assisted quantum error-correcting codes; Operator quantum error-correcting codes
- Citation
- QUANTUM INFORMATION PROCESSING, v.15, no.5, pp.1921 - 1936
- Indexed
- SCIE
SCOPUS
- Journal Title
- QUANTUM INFORMATION PROCESSING
- Volume
- 15
- Number
- 5
- Start Page
- 1921
- End Page
- 1936
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/88724
- DOI
- 10.1007/s11128-015-1235-2
- ISSN
- 1570-0755
- 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. We describe the formalism of our scheme, demonstrate the construction with examples, and give several EAOCWS codes.
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Collections - College of Engineering > School of Electrical Engineering > 1. Journal Articles
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