Coherent control of trapped ions using off-resonant lasers (13 pages)

Warren E. Lybarger

Daniel Lobser

Scalable coherent control hardware for trapped-ion systems: a tailored approach

Juan José García‐Ripoll, P. Zoller, J. I. Cirac

In this paper we develop a unified framework to study the coherent control of trapped ions subject to state-dependent forces. Taking different limits in our theory, we can reproduce previous designs of quantum gates and propose a different design of fast gates based on continuous laser beams. We demonstrate how to simulate Ising Hamiltonians in a many ions setup, and how to create highly entangled states and induce squeezing. Finally, in a detailed analysis we identify the physical limits of this technique and study the dependence of errors on the temperature.

Juan José García‐Ripoll, P. Zoller, J. I. Cirac

We propose a new concept for a two-qubit gate operating on a pair of trapped ions based on laser coherent control techniques. The gate is insensitive to the temperature of the ions, works also outside the Lamb-Dicke regime, requires no individual addressing by lasers, and can be orders of magnitude faster than the trap period, which is presently the speed limit of all two-qubit proposals.

Juan José García‐Ripoll, J. Ignacio Cirac, P. Zoller

In this work, a method to implement the pushing gate and the fast gates based on laser pulses is shown. An alternative and more general model of fast gate based on continuous off-resonant lasers is proposed. As further applications, a way to induce collective and nearest neighbor lasing interactions, and use them to produce squeezing, and generate cluster and GHz states of up to 30 atoms of the order of a period of the trap is demonstrated.