Quantum Computing Experiments with Cold Trapped Ions
Ferdinand Schmidt‐Kaler, Ulrich Poschinger · 2016
The central challenges in trapped ion quantum computing are developing architectures for scalable quantum computing with trapped ions, and optimizing the gate fidelity and speed. This chapter discusses linear Paul traps and quantized eigenmodes of ion crystals in the harmonic trap potential. It explains the operations on the static linear qubit registers. The chapter also discusses ion-laser and ion-microwave interactions and give examples for ion species used for qubits. It outlines single-qubit gate operations and a number of different two-qubit gate schemes. The chapter describes the experimental realization of the Cirac-Zoller gate. Quantum logic operations have been combined in different ways to establish quantum algorithms. In order to exemplify the realization of elementary quantum algorithms, the chapter focuses on quantum teleportation. Quantum teleportation has become the first algorithm to demonstrate the benefits of segmented and miniaturized Paul traps.