Hannover 2013 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 43: Poster II
Q 43.68: Poster
Wednesday, March 20, 2013, 16:00–18:30, Empore Lichthof
Approximate quantum error correction for generalized amplitude damping errors with graph-theoretic considerations — •carlo cafaro1,2,3 and peter van loock1,2,3 — 1Max Planck Institute for the Science of Light, Guenther-Scharowsky-Str. 1/Bldg. 24, D-91058 Erlangen, Germany — 2Institute of Optics, Information and Photonics, University of Erlangen-Nuremberg, Staudtstr. 7/B2, D- 91058 Erlangen, Germany — 3Institute of Physics, University of Mainz, Staudingerweg 7, 55128 Mainz, Germany
We extend the analysis of approximate quantum error correction schemes to generalized amplitude damping errors. We present an analytical investigation of the performance of the five and seven-qubit CSS quantum stabilizer codes and compare it to that of a quantum code obtained via concatenation of the quantum dual rail code with the perfect four-qubit quantum erasure code. The performance of these schemes is quantified by means of the entanglement fidelity as function of the photon loss probability and the nonvanishing environmental temperature. In addition, knowing that every stabilizer code is locally equivalent to a graph code and that every codeword stabilized code can be described by a graph and a classical code, we construct novel mathematical graphs that realize both the standard Leung's et al. four-qubit code and its extension, the proposed eight-qubit quantum concatenated code. Finally, the role that these channel-adapted mathematical graphs may play in approximate quantum error correction is discussed.