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Control of trapped-ion quantum states with optical pulses

C. Rangan·A. M. Bloch·C. Monroe·P. H. Bucksbaum
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Abstract

We present new results on the quantum control of systems with infinitely large Hilbert spaces. A control-theoretic analysis of the control of trapped ion quantum states via optical pulses is performed. We demonstrate how resonant bichromatic fields can be applied in two contrasting ways -- one that makes the system completely uncontrollable, and the other that makes the system controllable. In some interesting cases, the Hilbert space of the qubit-harmonic oscillator can be made finite, and the Schrödinger equation controllable via bichromatic resonant pulses. Extending this analysis to the quantum states of two ions, a new scheme for producing entangled qubits is discovered.

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C. Rangan, A. M. Bloch, C. Monroe, P. H. Bucksbaum. 2004-01-07. Control of trapped-ion quantum states with optical pulses. https://doi.org/10.1103/physrevlett.92.113004

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