High-fidelity quantum driving

Year: 2012

Authors: Bason M.G., Viteau M., Malossi N., Huillery P., Arimondo E., Ciampini D., Fazio R., Giovannetti V., Mannella R., Morsch O.

Autors Affiliation: CNR – Istituto Nazionale di Ottica, Largo Pontecorvo 3, 56127 Pisa, Italy;
CNISM UdR, Dipartimento di Fisica ‘E. Fermi’, Università di Pisa, Largo Pontecorvo 3, 56127 Pisa, Italy;
Laboratoire Aimé Cotton, Univ. Paris-Sud 11, Campus d’Orsay Bat. 505, 91405 Orsay, France;
Dipartimento di Fisica ‘E. Fermi’, Università di Pisa, Largo Pontecorvo 3, 56127 Pisa, Italy;
NEST, Scuola Normale Superiore, and Istituto di Nanoscienze—CNR, 56126 Pisa, Italy

Abstract: Accurately controlling a quantum system is a fundamental requirement in quantum information processing and the coherent manipulation of molecular systems. The ultimate goal in quantum control is to prepare a desired state with the highest fidelity allowed by the available resources and the experimental constraints. Here we experimentally implement two optimal high-fidelity control protocols using a two-level quantum system comprising Bose-Einstein condensates in optical lattices. The first is a short-cut protocol that reaches the maximum quantum-transformation speed compatible with the Heisenberg uncertainty principle. In the opposite limit, we realize the recently proposed transitionless superadiabatic protocols in which the system follows the instantaneous adiabatic ground state nearly perfectly. We demonstrate that superadiabatic protocols are extremely robust against control parameter variations, making them useful for practical applications.

Journal/Review: NATURE PHYSICS

Volume: 8 (2)      Pages from: 147  to: 152

More Information: This work was supported by CNISM through the Progetto Innesco 2007, the EU through grant No. 225187-NAMEQUAM and the collaboration between the University of Pisa and the University Paris Sud-11. R. F. and V. G. acknowledge support by MIUR through FIRB-IDEAS Project No. RBID08B3FM and by the E.U. through grants No. 234970-NANOCTM and No. 248629-SOLID. The authors thank D. Guery-Odelin and M. Holthaus for fruitful discussions.
DOI: 10.1038/NPHYS2170

Citations: 375
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