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Q: Fachverband Quantenoptik und Photonik

Q 14: Quanteninformation (Quantencomputer I)

Q 14.4: Vortrag

Dienstag, 11. März 2008, 15:00–15:15, 1B

Quantum Computation with Gaussian Continuous-Variable Cluster States — •Peter van Loock — Optical Quantum Information Theory Group, Max Planck Research Group, Institute of Optics, Information and Photonics, Staudtstr. 7/B2, 91058 Erlangen, Germany

We describe an extension of the cluster-state model for universal quantum computation from qubits to quantized harmonic oscillators, i.e., a translation from discrete to continuous quantum variables [1]. Compared to the discrete case, many features of the continuous-variable model have their direct analogues: cluster-state preparation via Gaussian (Clifford) operations, realization of any Gaussian transformation via Gaussian measurements in arbitrary order (Clifford computation and parallelism), and universal quantum computation via at least one non-Gaussian (non-Clifford) measurement including feedforward. For the optical creation of approximate cluster states in form of multi-mode squeezed Gaussian states [2] and the optical implementation of small-scale cluster computations [3], we discuss various protocols including linear-optics generation schemes and protocols for finite-squeezing-induced error filtration.

[1] N. C. Menicucci, P. van Loock, M. Gu, C. Weedbrook, T. C. Ralph, and M. A. Nielsen, Phys. Rev. Lett. 97, 110501 (2006).

[2] P. van Loock, C. Weedbrook, and M. Gu, Phys. Rev. A 76, 032321 (2007).

[3] P. van Loock, J. Opt. Soc. Am. B 24, 340 (2007).