I will describe a range of recent experiments on trapped-ions at ETH Zurich.
In the first, we have engineered spin-oscillator couplings to realize state-engineering, control and diagnostics for the quantum harmonic oscillator . Building upon recent work in which we generated squeezed states by reservoir engineering  , we have produced squeezed wavepacket analogues to the well known Schrodinger's cat states, observing re-coherence after separating the entangled wavepackets by up 20 times the ground state r.m.s.
extent, which corresponds to more than 60 times the width of the squeezed wavepacket . Using a non-squeezed cat, we have demonstrated a measurement-based post-selection scheme to dis-entangle the spin and motion, and reveal the quantum interference between the two separated wavepackets.
Wigner function tomography of the resulting state was performed by driving Jaynes-Cummings physics in a displaced-Fock basis for a range of displacements. I will also describe recent results in which we perform gates on trapped-ion qubits by moving ions through static laser beams. We use these to demonstrate parallel operations in two separated zones of a multi-zone ion trap using a static recycled laser beam, providing a path to scaling trapped-ion quantum processors with reduced optical complexity . The presence of a large first-order Doppler shift led us to devise methods for estimating a time-varying Hamiltonian , resulting in a useful method for performing Doppler velocimetry of our ions. In separate work in a cryogenic apparatus, we have demonstrated the ability to control the trapping potentials on nano-second timescales, providing access to the sudden approximation in quantum mechanics, and allowing the demonstration of control of quantum states with up to 10 kilo-quanta .
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