Abstract
Control of Transverse Motion for Quantum Gates on Individually Addressed Atomic Qubits
Highlights
In a long ion chain, it is common to use high-frequency radial modes to mediate the entanglement [11], since these modes are more laser cooled to the ground state and are less susceptible to heating from electric field noise [12,13]
We identify a limiting source of control noise relating to the individual optical addressing of large chains of atomic ion qubits
I we present a semiclassical model of the effects of axial motion of an ion chain
Summary
We consider the effect of axial (x) motion of a chain of trapped ions, each of mass M , with axial normal mode frequencies ωm. The instantaneous qubit Rabi frequency i of the ion i is proportional to the electric field amplitude of the laser beam at the position of this ion [1,14]. The leading effect of the fluctuations in xi takes the form of a state-dependent axial force proportional to the gradient of the Rabi frequency along the axial direction [23]. This force can be suppressed by centering the ions on the addressing beams and by employing pulse shaping [11] to control their coupling to axial modes.
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