Hamburg 2009 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 48: Quanteninformation: Quantenkommunikation I

Q 48.8: Vortrag

Donnerstag, 5. März 2009, 15:45–16:00, Audi-B

Optical Implementations of Discrete- and Continuous-Variable Quantum Error Correcting Codes — •Ricardo Wickert and Peter van Loock — OQI Group, Max-Planck Research Group, Institute of Optics, Information and Photonics, University of Erlangen-Nuernberg

Reliability is of paramountal importance in both Quantum Computation, ensuring the accuracy of calculations, and in Quantum Communication, protecting the transmitted state from losses along the channel. As in the classical case, Quantum Error Correction (QEC) relies on redundancy^[1]. However, Quantum Mechanics imposes fundamental limits which affect information processing directly; one example is the so-called ’No-Cloning’ theorem^[2], which forbids the creation of perfect copies of a given state. In this context, we propose theoretical implementations for different quantum error correcting codes (QECC). Particular cases considering the encoding of discrete variables^[3] (ie, α |0> + β |1> ) as well as continuous variables^[4] (utilizing the quadratures of the electric field) are discussed, based on a linear optics toolbox with beam splitters, phase shifters and conditional photon or homodyne detection.

References:

[1] P. W. Shor, Phys. Rev. A 52, R2493 (1995)

[2] W. K. Wootters and W. H. Zurek, Nature 299, 802 (1982)

[3] P. Kok et al, Rev. Mod. Phys 79, 135 (2007)

[4] S. L. Braunstein and P. van Loock, Rev. Mod. Phys. 77, 513 (2005)