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- Title
Entanglement-assisted operator codeword stabilized quantum codes.
- Authors
Shin, Jeonghwan; Heo, Jun; Brun, Todd
- 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
- Subjects
QUANTUM error correcting codes; QUANTUM entanglement; QUANTUM mechanics; QUBITS; QUANTUM states
- Publication
Quantum Information Processing, 2016, Vol 15, Issue 5, p1921
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-015-1235-2