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Abstract: We study ultracold collisions of ions with neutral atoms in traps. Recently,ultracold atom-ion systems are becoming available in experimental setups, wheretheir quantum states can be coherently controlled. This allows for animplementation of quantum information processing combining the advantages ofcharged and neutral particles. The state-dependent dynamics that is a necessaryingredient for quantum computation schemes is provided in this case by theshort-range interaction forces depending on hyperfine states of both particles.In this work we develop a theoretical description of spin-state-dependenttrapped atom-ion collisions in the framework of a Multichannel Quantum DefectTheory MQDT and formulate an effective single channel model that reduces thecomplexity of the problem.Based on this description we simulate a two-qubit phase gate between a Ba135+ion and a Rb87 atom using a realistic combination of the singlet and tripletscattering lengths. We optimize and accelerate the gate process with the helpof optimal control techniques. Our result is a gate fidelity 0.999 within 350microseconds.

Author: Hauke Doerk-Bendig, Zbigniew Idziaszek, Tommaso Calarco


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