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 language | English |
|---|---|
| Article number | 062321 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 84 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2011 Dec 22 |
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ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
Cite this
Entanglement-assisted codeword stabilized quantum codes. / Shin, Jeonghwan; Heo, Jun; Brun, Todd A.
In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 84, No. 6, 062321, 22.12.2011.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Entanglement-assisted codeword stabilized quantum codes
AU - Shin, Jeonghwan
AU - Heo, Jun
AU - Brun, Todd A.
PY - 2011/12/22
Y1 - 2011/12/22
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84455168971&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84455168971&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.84.062321
DO - 10.1103/PhysRevA.84.062321
M3 - Article
AN - SCOPUS:84455168971
VL - 84
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
SN - 1050-2947
IS - 6
M1 - 062321
ER -