Hannover 2010 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 39: Quantum Information: Atoms and Ions III
Q 39.7: Talk
Wednesday, March 10, 2010, 18:15–18:30, E 214
Quantum Gates utilizing the Phonon Modes of an Ion Coulomb Crystal in a Magnetic Field — •Jens Domagoj Baltrusch1,2, Antonio Negretti3, Jacob M. Taylor4, and Tommaso Calarco3 — 1Theoretische Physik, Universität des Saarlandes, Germany — 2Grup d'Òptica, Universitat Autònoma de Barcelona, Bellaterra, Spain — 3Institut für Quanteninformationsverarbeitung, Universität Ulm, Germany — 4Joint Quantum Institute, University of Maryland and NIST, College Park, MD, USA
Ion Coulomb crystals rotating in the magnetic field of a Penning trap have been proposed for a scalable implementation of quantum gates [Porras & Cirac PRL96 250501 (2006); Taylor & Calarco PRA78 062331 (2008)]. So far these approaches are quite difficult to implement since they are limited to a crystal rotation frequency of half the cyclotron frequency, which could be as large as hundreds of MHz. However, at lower rotation rates the magnetic field of the trap induces a coupling between the positions and the momenta of the ions. This coupling complicates the calculation of the phonon modes, which are an essential component in the implementation of two-qubit gate operations. We examine a method based on Williamson's theorem [Williamson Amer.J.of Math.58 141 (1963)] to calculate the phonon modes in the case of position-momentum coupling, show numerical results of the determination of the equilibrium positions and the normal modes for different rotation rates of the ion crystal, and discuss the simulation of the necessary gate operations.