Physics – Quantum Physics
Scientific paper
2009-06-22
Phys. Rev. A 81, 012708 (2010)
Physics
Quantum Physics
15 pages, submitted to Phys. Rev. A, added references to Section I, corrected typos, improved Section III
Scientific paper
10.1103/PhysRevA.81.012708
We study ultracold collisions of ions with neutral atoms in traps. Recently, ultracold atom-ion systems are becoming available in experimental setups, where their quantum states can be coherently controlled. This allows for an implementation of quantum information processing combining the advantages of charged and neutral particles. The state-dependent dynamics that is a necessary ingredient for quantum computation schemes is provided in this case by the short-range interaction forces depending on hyperfine states of both particles. In this work we develop a theoretical description of spin-state-dependent trapped atom-ion collisions in the framework of a Multichannel Quantum Defect Theory (MQDT) and formulate an effective single channel model that reduces the complexity 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 triplet scattering lengths. We optimize and accelerate the gate process with the help of optimal control techniques. Our result is a gate fidelity 0.999 within 350 microseconds.
Calarco Tommaso
Doerk-Bendig Hauke
Idziaszek Zbigniew
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